The Erwin, Schrodinger International Pasteurgasse, Janusz Grabowski, Janusz Grabowski
The notion of Poisson Lie group (sometimes called Poisson Drinfel'd group) was first introduced by Drinfel'd [1] and studied by Semenov-Tian-Shansky [7] to understand the Hamiltonian...
TANGENT LIFTS OF POISSON AND RELATED STRUCTURES (2007)
The Erwin, Schrodinger International Pasteurgasse, Janusz Grabowski, J Grabowski, P Urba Nski
Abstract. The derivation d T on the exterior algebra of forms on a manifold M with values in the exterior algebra of forms on the tangent bundle TM is extended to multivector fields. These tangent...
The Erwin, Schrodinger International Pasteurgasse, Heide Narnhofer, Heide Narnhofer, Erling Strmer, Erling Strmer, ...
--dynamical systems for which the tensor product formula for entropy fails
ON THE DYNAMICS OF NONCANONICALLY COUPLED OSCILLATORS AND ITS HIDDEN SUPERSTRUCTURE (2007)
The Erwin, Schrodinger International Pasteurgasse, Denis V. Juriev, Denis V. Juriev
Abstract. The classical and quantum dynamics of noncanonically coupled oscillators is considered. It is shown that though the classical dynamics is well--defined for both harmonic and anharmonic...
The Erwin, Schrodinger International Pasteurgasse, F. Benatti, F. Benatti, H. Narnhofer, H. Narnhofer
UWThPh-1993-57
CRITICAL SETS OF SMOOTH SOLUTIONS TO ELLIPTIC EQUATIONS IN DIMENSION 3 (2007)
The Erwin, Schrodinger International Pasteurgasse, Maria Hoffmann--ostenhof, Thomas Hoffmann--ostenhof, Nikolai Nadirashvili, M. Hoffmann-ostenhof, ...
Abstract. Let u 6j const satisfy an elliptic equation L 0 u j \Sigmaa i;j D ij u+ \Sigmab j D j u = 0 with smooth coefficients in a domain in R 3. It is shown that the critical set jruj
-ACTIONS BY AUTOMORPHISMS OF COMPACT ABELIAN GROUPS (2007)
The Erwin, Schrodinger International Pasteurgasse, Almost Block Independence, Bernoullicity Of, Daniel J. Rudolph, Daniel J. Rudolph, ...
Abstract. We prove that a Z d-action by automorphisms of a compact, abelian group is Bernoulli if and only if it has completely positive entropy. The key ingredients of the proof are the extension of...
Some Examples in One--dimensional "Geometric " Scattering (2007)
The Erwin, Schrodinger International Pasteurgasse, Alexander Kiselev, Alexander Kiselev
Some examples in one-dimensional "geometric " scattering
The Erwin, Schrodinger International Pasteurgasse, Jurg Frohlich, Anton Yu. Alekseev, Anton Yu. Alekseev, Ludwig D. Faddeev, ...
x
Lattice Gauge Fields and Noncommutative Geometry (2007)
The Erwin, Schrodinger International Pasteurgasse, P. Teotonio-sobrinho, A. P. Balachandran, A. P. Balachandran, G. Bimonte, ...
Pasteurgasse 6/7, A-1090 Wien, Austria. 1 Department of Physics, Syracuse University, Syracuse, NY 13244-1130
Supported by Federal Ministry of Science and Research, Austria (2007)
The Erwin, Schrodinger International Pasteurgasse
Rayleigh-type isoperimetric inequality with a homogeneous magnetic field
The Erwin, Schrodinger International Pasteurgasse, Robert M. Burton, Robert M. Burton, Karma Dajani, Karma Dajani, ...
for random group actions
Supported by Federal Ministry of Science and Research, Austria (2007)
The Erwin, Schrodinger International Pasteurgasse, Reinhold Meise, B. Alan Taylor, Dietmar Vogt
Continuous linear right inverses for partial differential operators of order 2 and fundamental solutions in half spaces
The Construction of Non-Commutative Manifolds Using Coherent States (2007)
The Erwin, Schrodinger International Pasteurgasse, H. Grosse, H. Grosse, P. Presnajder, P. Presnajder
We describe the construction of non-commutative manifolds, which are the non-commutative analogs of homogeneous spaces using coherent states. In the commutative limit we obtain standard manifolds....
The Erwin, Schrodinger International Pasteurgasse, P. Teotonio--sobrinho, G. Bimonte, G. Bimonte, E. Ercolessi, ...
6 The E. Schrodinger International Institute for Mathematical Physics, Pasteurgasse 6/7, A-1090 Wien, Austria. 1 International Centre for Theoretical Physics, P.O. Box 586, I-34100, Trieste, Italy. 2
Double Coset Construction of Moduli Space of Holomorphic Bundles and Hitchin Systems (2007)
The Erwin, Schrodinger International Pasteurgasse, A. Levin, M. Olshanetsky
Double coset construction of moduli space of holomorphic bundles and Hitchin systems. A.Levin 1 y, M.Olshanetsky
WEAKLY SYMMETRIC SPACES AND BOUNDED SYMMETRIC DOMAINS (2007)
The Erwin, Schrodinger International Pasteurgasse, Hieu Nguyen, Hieu Nguyen
Abstract. In this paper, new examples of weakly symmetric spaces in the sense of A. Selberg [14] are constructed. Let G be a connected, simply-connected, simple Lie group of hermitian type and K a...
A POISSON--LIE STRUCTURE ON THE DIFFEOMORPHISM GROUP OF A CIRCLE (2007)
The Erwin, Schrodinger International Pasteurgasse, J. Grabowski, Janusz Grabowski
Abstract. Starting from the Gelfand--Fuks--Virasoro cocycle on the Lie algebra X(S
The Erwin, Schrodinger International Pasteurgasse, Dimitry V. Alekseevsky, Dimitry V. Alekseevsky, Stefano Marchiafava, ...
Abstract. We consider quaternionic transformations of a quaternionic Kahler manifold (M; g; Q). General conditions for unicity of the quaternionic Kahler structure (g; Q) for given Q are applied to...
(3+1)-Dimensional Schwinger Terms and Non-commutative Geometry (2007)
The Erwin, Schrodinger International Pasteurgasse, Edwin Langmann, Edwin Langmann, Jouko Mickelsson, Jouko Mickelsson
We discuss 2-cocycles of the Lie algebra Map(M
The Erwin, Schrodinger International Pasteurgasse
Available via anonymous ftp or gopher from FTP.ESI.AC.AT Bogomolny--type equations for gravitating gauged sigma models P. FORG
BETHE--ANSATZ SOLUTION OF A MODIFIED SU(3)-XXZ-MODEL (2007)
The Erwin, Schrodinger International Pasteurgasse, H. Grosse, E. Raschhofer, Harald Grosse, Ernst Raschhofer
We investigate a solvable SU(3)-XXZ-model modified by elements of the Cartansubalgebra. The nested Bethe-Ansatz is discussed in detail and the corresponding quantum spin model is stated. The coupled...
TRANSLATION OF NATURAL OPERATORS ON MANIFOLDS WITH AHS--STRUCTURES (2007)
The Erwin, Schrodinger International Pasteurgasse, Andreas Cap
Abstract. We introduce an explicit procedure to generate natural operators on manifolds with almost Hermitian symmetric structures and work out several examples of this procedure in the case of...
Minimal Orbits of Metrics and Elliptic Operators (2007)
The Erwin, Schrodinger International Pasteurgasse, Yoshiaki Maeda, Yoshiaki Maeda, Steven Rosenberg, Steven Rosenberg
The group of diffeomorphisms of a compact manifold acts isometrically on the space of Riemannian metrics with its L 2 metric. Following [1], [15], we define minimal orbits for this action by a zeta...
OPTICAL GEOMETRIES AND RELATED STRUCTURES (2007)
The Erwin, Schrodinger International Pasteurgasse
In this work we interpret known facts from the twsitor theory in the language of optical geometry. Two natural optical geometries on the space P of all null directions over a 4dimensional Lorentzian...
The Erwin, Schrodinger International Pasteurgasse, Tadeusz Chmaj, Tadeusz Chmaj
We prove the existence of two countable families of harmonic maps from S k to S k for 3 k 6. We also study the stability and the limiting behaviour of these maps and we explain why the solutions...
RADON TRANSFORM AND CURVATURE (2007)
The Erwin, Schrodinger International Pasteurgasse, Peter W. Michor, Peter W. Michor
Abstract. We interpret the setting for a Radon transform as a submanifold of the space of generalized functions, and compute its extrinsic curvature: it is the Hessian composed with the Radon...
N-BLACK HOLE STATIONARY AND AXIALLY SYMMETRIC SOLUTIONS OF THE EINSTEIN-MAXWELL EQUATIONS (2007)
The Erwin, Schrodinger International Pasteurgasse, Gilbert Weinstein, Gilbert Weinstein, N \sigma H
Abstract. It is well-known that the Einstein-Maxwell equations reduce in the stationary and axially symmetric case to an axially symmetric harmonic map with prescribed singularities ' : R 3
The Erwin, Schrodinger International Pasteurgasse, A. M. Perelomov, A. M. Perelomov
1 The completeness of some subsystems of q-deformed coherent states is proved.
Dynamical entropy for Z (2007)
Actions And Bogoliubov, The Erwin, Schrodinger International Pasteurgasse, Sergey I. Bezuglyi, Sergey I. Bezuglyi, Valentin Ya. Golodets, ...
The notion of dynamical entropy for Z n -actions by automorphisms of C - algebras is studied. These results are applied to Bogoliubov actions of Z n on the CAR-algebra. It is shown that the dynamical...
The Magnus Force on Skyrmions in Ferromagnets and Quantum Hall Systems (2007)
Michael Stone Vienna, The Erwin, Schrodinger International Pasteurgasse, Michael Stone, Michael Stone
The topological solitons, or "skyrmions", in a planar ferromagnet experience a Magnus force proportional to the product of their velocity and the surrounding magnetization. It has been...
Coulomb gas representation of the SU(2) WZW correlators at higher genera (2007)
The Erwin, Schrodinger International Pasteurgasse, Krzysztof Gawedzki, Krzysztof Gawedzki
We extend the analysis of [1] to the case with insertion points. The result allows to express the correlation functions of the SU(2) WZW conformal field theory on Riemann surfaces of genus ? 1 by...
A Lecture on Poisson-Nijenhuis Structures (2007)
The Erwin, Schrodinger International Pasteurgasse, Izu Vaisman, Izu Vaisman
. This is an expository paper. In it, the Poisson-Nijenhuis structures are motivated and defined in the general algebraic framework of Gel'fand and Dorfman. Then, in the particular case of Lie...
A Fermi Field Algebra as Crossed Product (2007)
The Erwin, Schrodinger International Pasteurgasse, Nevena Ilieva Heide, Nevena Ilieva, Heide Narnhofer, Heide Narnhofer
On the example of Luttinger model and Schwinger model we consider the observable algebra of interacting fermi systems in two--dimensional space--time and construct field algebra related to it as a...
Dynamical Systems that Assymptotically are Highly Anticommutative (2007)
The Erwin, Schrodinger International Pasteurgasse, Heide Narnhofer Walter, Walter Thirring, H. Narnhofer, W. Thirring
It is shown that with probability 1 on \Theta resp. on g X the irrational rotation algebra M \Theta with respect to the CAT map and the generalized Price--Powers shift AX are asymptotically highly...
Andreas Kriegl Peter W. Michor (2007)
Vienna Preprint Esi, The Erwin, Schrodinger International Pasteurgasse, Andreas Kriegl, Andreas Kriegl, Peter W. Michor, ...
. Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the Lie algebra integrate to smooth curves in the group in a smooth way (an `evolution operator'...
Symmetric Designs on Lie Algebras and Interactions of Hamiltonian Systems (2007)
Denis Juriev Vienna, The Erwin, Schrodinger International Pasteurgasse, Denis V. Juriev, Denis V. Juriev
. Nonhamiltonian interaction of hamiltonian systems is considered. Dynamical equations are constructed by use of symmetric designs on Lie algebras. The results of analysis of these equations show...
Some Peculiar Properties of the Relativistic Oscillator in the Postgalilean Approximation (2007)
The Erwin, Schrodinger International Pasteurgasse, I. P. Pavlotsky, I. P. Pavlotsky, G. Vilasi, G. Vilasi
In the post-Galilean approximation, the Lagrangians are singular on a submanifold of the phase space. A general analysis of these peculiarities, which differ by the ones considered by Dirac, is, up...
Invariant Cocycles, Random Tilings and the Super-K and Strong Markov Properties (2007)
The Erwin, Schrodinger International Pasteurgasse, Klaus Schmidt, Klaus Schmidt
. We consider 1-cocycles with values in locally compact, second countable abelian groups on discrete, nonsingular, ergodic equivalence relations. If such a cocycle is invariant under certain...
INVERTIBLE LINEAR DIFFERENTIAL OPERATORS ON TWO-DIMENSIONAL MANIFOLDS (2007)
The Erwin, Schrodinger International Pasteurgasse, V. N. Chetverikov
Invertible linear differential operators on two-dimensional manifolds
The Spin of the Ground State of an Atom (2007)
The Erwin, Schrodinger International Pasteurgasse, Charles L. Fefferman, Charles L. Fefferman, Luis A. Seco, Luis A. Seco
In this paper we address a question posed by M. and T. Hoffmann--Ostenhof, which concerns the total spin of the ground state of an atom or molecule. Each electron is given a value for spin, \Sigma 1
The Erwin, Schrodinger International Pasteurgasse, Asystatic G-manifolds, A. Alekseevsky, A. Alekseevsky, D. Alekseevsky, ...
Abstract. A manifold M with an action of a compact Lie group G is called asystatic if a regular G-orbit G=K of G in M has stabilizer K, which coincides with its connected normalizer in G. Such...
Theory of the Anderson impurity model: (2007)
The Erwin, Schrodinger International Pasteurgasse, Stefan K. Kehrein, Stefan K. Kehrein, Andreas Mielke, Andreas Mielke
The Schrieffer--Wolff transformation re--examined
Asymptotics of the Jordan Type of Large Triangular Matrices over a Finite Field (2007)
The Erwin, Schrodinger International Pasteurgasse, A. M. Borodin
Abstract. We prove that almost all large triangular matrices over the finite field Fq have almost the same Jordan form which is described by the geometric progression p k = q \Gammak (q \Gamma 1)....
The Erwin, Schrodinger International Pasteurgasse, A. Yu. Alekseev, I. T. Todorov, Anton Yu. Alekseev, Ivan T. Todorov
Quadratic brackets from sympletic forms
POISSON BRACKETS ON LIE ALGEBRAS (2007)
The Erwin, Schrodinger International Pasteurgasse, D. V. Alekseevsky, D. V. Alekseevsky, A. M. Perelomov, A. M. Perelomov
1 Poisson brackets on a Lie algebra 1.1 The Schouten bracket in the space of polyvectors and Poisson bivectors
Geometries of Quantum States (2007)
The Erwin, Schrodinger International Pasteurgasse
The quantum analogue of the Fisher information metric of a probability simplex is searched and several Riemannian metrics on the set of positive definite density matrices are studied. Some of them...
Abstract. Given a compact Riemannianmanifold (M (2007)
The Erwin, Schrodinger International Pasteurgasse, D. Burghelea, D. Burghelea, L. Friedlander, L. Friedlander
; g), a finite dimensional representation ae: 1 (M) ! GL(V) of the fundamental group 1 (M) on a vectorspace V of dimension l and a Hermitian structure on the flat vector bundle E p!M associated to...
The Erwin, Schrodinger International Pasteurgasse, F. Lizzi, F. Lizzi, G. Marmo, G. Marmo, ...
Eikonal type equations for geometric singularities of solutions in field theory
The Erwin, Schrodinger International Pasteurgasse, Fernando Falceto, Fernando Falceto, Krzysztof Gawedzki, Krzysztof Gawedzki
We work out finite-dimensional integral formulae for the scalar product of genus one states of the group G Chern-Simons theory with insertions of Wilson lines. Assuming convergence of the integrals,...
ON TWISTED TENSOR PRODUCTS OF ALGEBRAS (2007)
The Erwin, Schrodinger International Pasteurgasse, Andreas Cap, Andreas Cap, Hermann Schichl, Hermann Schichl
Abstract. The problems considered in this paper are motivated by non--commutative geometry. Starting from two unital algebras A and B over a commutative ring K we describe all triples (C; i A; i B),...
On Finite 4D Quantum Field Theory in Non-Commutative Geometry (1996)
The Erwin, C. Klimcík, Schrodinger International Pasteurgasse, H. Grosse, H. Grosse, P. Presnajder, ...
The truncated 4-dimensional sphere S 4 and the action of the self-interacting scalar field on it are constructed. The path integral quantization is performed while simultaneously keeping the SO(5)...
Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces (1996)
Nikolaj Nadirashvili Vienna, The Erwin, Schrodinger International Pasteurgasse, Nikolaj Nadirashvili, Nikolai Nadirashvili
this paper we consider two related problems. Let (M; s) be a Riemann surface with a complete Riemannian metric s on M and let \Psi : (M; s) ! B 1 ae R
The Low Activity Phase of Some Dirichlet Series (1996)
The Erwin, Schrodinger International Pasteurgasse, Pierluigi Contucci, Pierluigi Contucci, Andreas Knauf, Andreas Knauf
We show that a rigorous statistical mechanics description of some Dirichlet series is possible. Using the abstract polymer model language of statistical mechanics and the polymer expansion theory we...
Optimal Decompositions of Quantum States with Respect to Entropy (1996)
The Erwin, Schrodinger International Pasteurgasse, Fabio Benatti, Heide Narnhofer, Armin Uhlmann, F. Benatti, ...
Any non-pure quantum state admits an infinity of non-trivial decompositions. A recent proposal how to measure the information content of a quantum state with reference to a given subalgebra of...
K-Theory of Noncommutative Lattices (1995)
The Erwin, Schrodinger International Pasteurgasse, Paulo Teotonio-sobrinho, Elisa Ercolessi, Elisa Ercolessi, Giovanni Landi, ...
Noncommutative lattices have been recently used as finite topological approximations in quantum physical models. As a first step in the construction of bundles and characteristic classes over such...
Spherically Symmetric Solutions Of Nonlinear Schrödinger Equations (1995)
The Erwin, Schrodinger International Pasteurgasse, Roman Cherniha, Cherniha Roman
Introduction At the present time there are no efficient analytic methods for solving nonlinear partial differential equations (PDEs). Construction particular exact solutions to these equations...
Scattering Matrix in External Field Problems (1995)
The Erwin, Schrodinger International Pasteurgasse, Edwin Langmann, Edwin Langmann, Jouko Mickelsson, Jouko Mickelsson
: We discuss several aspects of second quantized scattering operators S for fermions in external time dependent fields. We derive our results on a general, abstract level having in mind as a main...
Lie-Poisson Deformation of the Poincaré Algebra (1995)
The Erwin, Schrodinger International Pasteurgasse, A. Stern, A. Stern, I. Yakushin, I. Yakushin
We find a one parameter family of quadratic Poisson structures on R 4 \Theta SL(2; C) which satisfies the property a) that it is preserved under the Lie-Poisson action of the Lorentz group, as well...
Diagonal Cohomology of the Lie Algebra of Vector Fields (1995)
The Erwin, Schrodinger International Pasteurgasse, Mark V. Losik, Mark V. Losik
. The simple proofs of main theorems on the cohomology of the diagonal subcomplex of the complex of standard continuous cochains of the Lie algebra X(M) of vector fields on a manifold M with...
On ε-regularity for the Yang-Mills-Higgs Heat Flow on R³ (1995)
The Erwin, Schrodinger International Pasteurgasse, On R, Hideo Kozono, Hideo Kozono, Yoshiaki Maeda, ...
Introduction The property of "-regularity for weak solutions plays an important role in characterizing singularities of such solutions, which enables us to obtain global smooth solutions. For...
Berger's Isoperimetric Problem and Minimal Immersions of Surfaces (1995)
The Erwin, Schrodinger International Pasteurgasse, Nikolai Nadirashvili, Nikolai Nadirashvili
. We establish an isoperimetric inequality for the first non-zero eigenvalue of the Laplace operator on the surface of genus one and of a fixed area. 1. Introduction In this paper we establish...
Calabi's Problem on Bounded Minimal Surface (1995)
The Erwin, Schrodinger International Pasteurgasse, Nikolai Nadirashvili, Nikolai Nadirashvili
this paper is to show the existence of a bounded minimal surface.
Geometric Approach to Discrete Series of Unireps for Vir (1995)
The Erwin, Schrodinger International Pasteurgasse, Alexandre Kirillov
. We want to realize the discrete series of unirreps for the Virasoro-Bott group V ir (= the central extension of Diff+ (S 1 ) ) in the space of holomorphic functions on the infinite dimensional...
Nambu-Jona-Lasinio version of magnetic monopole physics with dual Dirac strings (1995)
The Erwin, Schrodinger International Pasteurgasse, M. Faber, M. Faber, A. N. Ivanov, A. N. Ivanov, ...
Magnetic monopoles are considered as massless fermion fields interacting via local four--monopole interaction of the Nambu--Jona--Lasinio kind leading to monopole condesation. Condensation of...
The Erwin, Schrodinger International Pasteurgasse, Yassen S. Stanev, Ivan T. Todorov
this paper one does not have to know much about 2-dimensional (2D) (rational) conformal field theory ((R)CFT). In order to accommodate such readers, we start in Sec. 2, essentially, with a study of...
Dimensional Hausdorff Properties of Singular Continuous Spectra (1995)
The Erwin, Schrodinger International Pasteurgasse, Svetlana Ya. Jitomirskaya, Svetlana Ya. Jitomirskaya, Yoram Last, Yoram Last
We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Hausdorff spectral properties of one-dimensional Schrödinger operators to the behavior of solutions of...
The absence of the absolutely continuous spectrum for delta' Wannier-Stark Ladders (1995)
The Erwin, Schrodinger International Pasteurgasse, Pavel Exner, P. Exner
Introduction One--dimensional Schrodinger operators with potentials composed of a periodic and an aperiodic, most often linear, part have been studied by many authors --- see, e.g., [4, 7, 8, 10] and...
Dual Higgs Model with Dual Dirac Strings (1995)
The Erwin, Schrodinger International Pasteurgasse, M. Faber, M. Faber, A. N. Ivanov, A. N. Ivanov, ...
We investigate a dual Higgs model with dual Dirac strings invariant under U (1) gauge transformations, where U (1) is the Abelian gauge group of dual-- vector potential transformations spontaneously...
Coisotropic Regularization of Singular Lagrangians (1995)
The Erwin, J. Marín-Solano, Schrodinger International Pasteurgasse, A. Ibort, A. Ibort
this paper we propose an alternative procedure to deal with singular Lagrangians at the classical level: instead of using the Hamiltonian formalism and Dirac's theory of constraints, we remain...
Gauss Decompositions for Quantum Groups and Supergroups (1995)
The Erwin, Schrodinger International Pasteurgasse, E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov, M. A. Sokolov
. The Gauss decompositions of the quantum groups, related to classical Lie groups and supergroups are considered by the elementary algebraic and R-matrix methods. The commutation relations between...
On the relativistic field theory model of the deuteron. II (1995)
A. N.Ivanov, The Erwin, Schrodinger International Pasteurgasse, N. I. Troitskaya, N. I. Troitskaya, M. Faber, ...
The relativistic field theory model of the deuteron suggested in [1] is revised and adjusted to the calculation of processes of low--energy interactions like the radiative neutron--proton capture n +...
Canonical Approach to the Quantum WZNW Model (1995)
The Erwin, Schrodinger International Pasteurgasse, Paolo Furlan, Paolo Furlan, Ludmil K. Hadjiivanov, Ludmil K. Hadjiivanov, ...
The canonical approach to the chiral SU(n) WZNW model with a monodromy independent r--matrix is reviewed. Taking the quantum group symmetry of the model (which reflects its classical Poisson--Lie...
Friedrich Haslinger (ed.), The Erwin, Schrodinger International Pasteurgasse, Friedrich Haslinger, B. Berndtsson, J. Bros
s of all Lectures given at the Workshop on Complex Analysis, Vienna, February 20-24, 1995 Editor: Friedrich Haslinger Vienna, Preprint ESI 195 (1995) February 2, 1995 Supported by Federal Ministry of...
On Trace Formulas for Schrödinger-Type Operators (1995)
The Erwin, Schrodinger International Pasteurgasse, F. Gesztesy, F. Gesztesy, H. Holden, H. Holden
. We review a variety of recently obtained trace formulas for one- and multidimensional Schrodinger operators. Some of the results are extended to Sturm-Liouville and matrix-valued Schrodinger...
Comments about Higgs Fields, Noncommutative Geometry and the Standard Model (1995)
Cammarata Coquereaux, The Erwin, Schrodinger International Pasteurgasse, G. Cammarata, G. Cammarata, R. Coquereaux, ...
We make a short review of the formalism that describes Higgs and Yang Mills fields as two particular cases of an appropriate generalization of the notion of connection. We also comment about the...
The Variational Principle for Gibbs States Fails on Trees (1995)
The Erwin, Schrodinger International Pasteurgasse, Robert M. Burton, Robert M. Burton, Charles-ed. Pfister, Charles-ed. Pfister, ...
We show how the variational principle for Gibbs States (which says that for the d-- dimensional cubic lattice, the set of translation invariant Gibbs States is the same as the set of translation...
Noncommutative 3-sphere: A model of noncommutative contact algebras (1995)
The Erwin, Schrodinger International Pasteurgasse, Naoya Miyazaki, Akira Yoshioka, Hideki Omori, Hideki Omori, ...
this paper is to present noncommutative algebras other than deformation quantizations still having the notion of "space". Deformation quantization suggests a mode of deforming various...
What are the Quantum Mechanical Lyapunov Exponents? (1995)
The Erwin, Schrodinger International Pasteurgasse, Walter Thirring, Lyapunov Exponents, W. Thirring
The origin of chaotic behaviour of a dynamical system in the sense of sensitive dependence on initial conditions is the action of a certain group. We are used to the importance of a group from the...
On Strongly Inhomogeneous Einstein Manifolds (1994)
The Erwin, Schrodinger International Pasteurgasse, Charles P. Boyer, Charles P. Boyer, Krzysztof Galicki, Krzysztof Galicki, ...
this article was completed during their visits there.
M.Sh. Birman, The Erwin, Schrodinger International Pasteurgasse, D. R. Yafaev
. We consider a perturbation H = H 0 + V of a periodic Schrodinger (or more general) operator H 0 by a short-range potential V . A strong form of the limiting absorption principle for the operator H...
Spheres and Hemispheres as Quantum State Spaces (1994)
The Erwin, Schrodinger International Pasteurgasse, Armin Uhlmann, Armin Uhlmann
. Spheres and hemispheres allow for their interpretation as quantum states spaces quite similar as it is known about projective spaces. Spheres describe systems with two levels of equal degeneracy....
The Euler-Poincaré Equations and Double Bracket Dissipation (1994)
The Erwin, P.S.Krishnaprasad, Schrodinger International Pasteurgasse, Anthony Bloch, Anthony Bloch, Jerrold E. Marsden, ...
This paper studies the perturbation of a Lie-Poisson (or, equivalently an Euler-Poincar'e) system by a special dissipation term that has Brockett's double bracket form. We show that a...
On A Quantum Group Invariant Spin Chain With Nonlocal Boundary Conditions (1994)
The Erwin, Schrodinger International Pasteurgasse, H. Grosse, M. Prester, H. Grosse Y, S. Pallua, ...
We treat an one parameter family of quantum spin models, which are quantum group invariant as well as periodic in a certain sense, using Bethe states. We analyze its ground state properties and...
On the Topology of Stationary Black Holes (1994)
Piotr T. Chrusciel, The Erwin, Schrodinger International Pasteurgasse, Piotr T. Chru'sciel, Piotr T. Chru'sciel, Robert M. Wald, ...
We prove that the domain of outer communication of a stationary, globally hyperbolic spacetime satisfying the null energy condition must be simply connected. Under suitable additional hypotheses,...
On Einstein's Equations for Spacetimes Admitting a Non-Null Killing Field (1994)
Istvan Racz, The Erwin, Schrodinger International Pasteurgasse, A Non-null, Killing Field
: We consider the 3-dimensional formulation of Einstein's theory for spacetimes possessing a non-null Killing field ¸ a . It is known that for the vacuum case some of the basic field equations...
A Mathematical Approach to Foundations of Statistical Mechanics (1994)
The Erwin, Schrodinger International Pasteurgasse, R. L. Dobrushin, R. L. Dobrushin
cles in a typical macroscopic system of particles and 100 is a number of components so large that the most part of mathematical algorithms and descriptions that are applicable theoretically to any...
The Erwin, Schrodinger International Pasteurgasse, Eric A. Carlen, Eric A. Carlen, Michael Loss, Michael Loss
Optimal bounds on the L p (IR n ) smoothing and decay are established for certain viscously damped conservations laws, of which the vorticity formulation of the Navier--Stokes equation on IR 2 is a...
Differential Geometry of g-Manifolds (1994)
The Erwin, Schrodinger International Pasteurgasse, D. V. Alekseevsky, D. V. Alekseevsky, Peter W. Michor, Peter W. Michor
. An action of a Lie algebra g on a manifold M is just a Lie algebra homomorphism i : g ! X(M ). We define orbits for such an action. In general the space of orbits M=g is not a manifold and even has...
Dynamical Entropy for Z n -actions and Bogoliubov Automorphisms of the CAR-algebra (1994)
The Erwin, Schrodinger International Pasteurgasse, Sergey I. Bezuglyi, Sergey I. Bezuglyi, Valentin Ya. Golodets, Valentin Ya. Golodets, ...
The notion of dynamical entropy for Z n -actions by automorphisms of C - algebras is studied. These results are applied to Bogoliubov actions of Z n on the CAR-algebra. It is shown that the dynamical...
Symplectic geometry of the Chern-Simons theory (1994)
The Erwin, Schrodinger International Pasteurgasse, Anton Yu. Alekseev, A. Z. Malkin, A. Z. Malkin
This article is a review of two original papers [1], [2]. We begin with a description of Kirillov symplectic form and quantum mechanics on coadjoint orbits of a simple Lie group. This theory may be...
The Supersymmetry Representation for Correlation Functions of Disordered Systems (1994)
The Erwin, Schrodinger International Pasteurgasse, V. M. Tkachuk
Two disordered models are considered: spherical model and non-interacting electron gas on lattice. The supersymmetry representation for correlation functions of these models is obtained. Using this...
On an Extension of the 3-Dimensional Toda Lattice (1994)
The Erwin, Schrodinger International Pasteurgasse, Mircea Puta, Mircea Puta
. An extension of the 3-dimensional nonperiodic Toda lattice is proposed and some of its geometrical and dynamical properties are pointed out. 1. Introduction. After the Flaschka transformation the...
On the Rigid Body with Two Linear Controls (1994)
The Erwin, Schrodinger International Pasteurgasse, Mircea Craioveanu, Mircea Craioveanu, Mircea Puta, Mircea Puta
. The rigid body dynamics with two particular linear controls is discussed and some of its geometrical properties are pointed out. 1. Introduction. There has been a great deal of work over the past...
Quantizations of Braided Differential Operators (1993)
V. Lychagin, The Erwin, Schrodinger International Pasteurgasse
. We construct differential operators (d.o.) in braided tensor categories and define a quantization as a natural isomorphism of the tensor product bifunctor with some additional natural conditions....
Generic Irreducible Representations Of Finite-Dimensional Lie Superalgebras (1993)
The Erwin, Schrodinger International Pasteurgasse, Ivan Penkov, Ivan Penkov, Vera Serganova, Vera Serganova
. A theory of highest weight modules over an arbitrary finite-dimensional Lie superalgebra is constructed. A necessary and sufficient condition for the finite-dimensionality of such modules is...
Magnetic and Superconductive States in the Repulsive Hubbard Model (1993)
The Erwin, Schrodinger International Pasteurgasse, V. N. Popov, V. N. Popov
. It is demonstrated that antiferromagnetic, ferromagnetic and superconductive states can exist in the repulsive Hubbard model. The meaning of small denominators of Green's functions and of the...
Minimal Orbits of Metrics and Elliptic Operators
The Erwin, Schrodinger International Pasteurgasse, Philippe Tondeur, Yoshiaki Maeda, Yoshiaki Maeda, Steven Rosenberg, ...
The group of diffeomorphisms of a compact manifold acts isometrically on the space of Riemannian metrics with its L 2 metric. Following [1], [15], we define minimal orbits for this action by a zeta...