Renormalized Electron Mass in Nonrelativistic QED (2009)
Froehlich, Juerg, Pizzo, Alessandro
Within the framework of nonrelativistic QED, we prove that, for small values of the coupling constant, the energy function, E_|P|, of a dressed electron is twice differentiable in the momentum P in a...
Mach-Zehnder interferometry of fractional quantum Hall edge states (2008)
Levkivskyi, Ivan P., Boyarsky, Alexey, Froehlich, Juerg, Sukhorukov, Eugene V.
We propose direct experimental tests of the effective models of fractional quantum Hall edge states. We first recall a classification of effective models based on the requirement of anomaly...
Spectral Renormalization Group (2008)
Froehlich, Juerg, Griesemer, Marcel, Sigal, Israel Michael
The operator-theoretic renormalization group (RG) methods are powerful analytic tools to explore spectral properties of field-theoretical models such as quantum electrodynamics (QED) with...
16th International Congress on Mathematical Physics (2008)
Aizenman, Michael, Daubechies, Ingrid, Exner, Pavel, Froehlich, Juerg, Gallavotti, Giovanni, Sinai, Yakov, ...
Froehlich, Juerg, Knowles, Antti
We study the dynamics of a Fermi gas with a Coulomb interaction potential, and show that, in a mean-field limiting regime, the dynamics is described by the Hartree-Fock equation. This extends...
On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction (2008)
Froehlich, Juerg, Knowles, Antti, Schwarz, Simon
In the mean-field limit the dynamics of a quantum Bose gas is described by a Hartree equation. We present a simple method for proving the convergence of the microscopic quantum dynamics to the...
Spin - or, actually: Spin and Quantum Statistics (2008)
The history of the discovery of electron spin and the Pauli principle and the mathematics of spin and quantum statistics are reviewed. Pauli's theory of the spinning electron and some of its many...
Infraparticle Scattering States in Non-Relativistic QED: II. Mass Shell Properties (2007)
Chen, Thomas, Froehlich, Juerg, Pizzo, Alessandro
We study the infrared problem in the usual model of QED with non-relativistic matter. We prove spectral and regularity properties characterizing the mass shell of an electron and one-electron...
Infraparticle Scattering States in Non-Relativistic QED: I. The Bloch-Nordsieck Paradigm (2007)
Chen, Thomas, Froehlich, Juerg, Pizzo, Alessandro
We construct infraparticle scattering states for Compton scattering in the standard model of non-relativistic QED. In our construction, an infrared cutoff initially introduced to regularize the model...
Dynamical Collapse of White Dwarfs in Hartree- and Hartree-Fock Theory (2006)
Froehlich, Juerg, Lenzmann, Enno
We study finite-time blow-up for pseudo-relativistic Hartree- and Hartree-Fock equations, which are model equations for the dynamical evolution of white dwarfs. In particular, we prove that radially...
Adiabatic theorems for quantum resonances (2006)
Salem, Walid K. Abou, Froehlich, Juerg
We study the adiabatic time evolution of quantum resonances over time scales which are small compared to the lifetime of the resonances. We consider three typical examples of resonances: The first...
Effective Dynamics for Boson Stars (2006)
Froehlich, Juerg, Jonsson, B. Lars G., Lenzmann, Enno
We study solutions close to solitary waves of the pseudo-relativistic Hartree equation describing boson stars under the influence of an external gravitational field. In particular, we analyze the...
Status of the Fundamental Laws of Thermodynamics (2006)
Salem, Walid K. Abou, Froehlich, Juerg
We describe recent progress towards deriving the Fundamental Laws of thermodynamics (the 0th, 1st and 2nd Law) from nonequilibrium quantum statistical mechanics in simple, yet physically relevant...
Mean-Field- and Classical Limit of Many-Body Schr\"odinger Dynamics for Bosons (2006)
Froehlich, Juerg, Graffi, Sandro, Schwarz, Simon
We present a new proof of the convergence of the N-particle Schroedinger dynamics for bosons towards the dynamics generated by the Hartree equation in the mean-field limit. For a restricted class of...
Cyclic thermodynamic processes and entropy production (2006)
Salem, Walid K. Abou, Froehlich, Juerg
We study the time evolution of a periodically driven quantum-mechanical system coupled to several reserviors of free fermions at different temperatures. This is a paradigm of a cyclic thermodynamic...
Adaiabtic theorems and reversible isothermal processes (2006)
Salem, Walid K. Abou, Froehlich, Juerg
Isothermal processes of a finitely extended, driven quantum system in contact with an infinite heat bath are studied from the point of view of quantum statistical mechanics. Notions like heat flux,...
Coherent infrared representations in non-relativistic QED (2006)
Chen, Thomas, Froehlich, Juerg
We consider dressed 1-electron states in a translation-invariant model of non-relativistic QED. To start with a well-defined model, the interaction Hamiltonian is cutoff at very large photon energies...
Boson Stars as Solitary Waves (2005)
Froehlich, Juerg, Jonsson, B. Lars G., Lenzmann, Enno
We study the nonlinear equation $i \partial_t \psi = (\sqrt{-\Delta + m^2} - m) \psi - ( |x|^{-1} \ast |\psi|^2 ) \psi$ on $\RR^3$, which is known to describe the dynamics of pseudo-relativistic...
Blow-Up for Nonlinear Wave Equations describing Boson Stars (2005)
Froehlich, Juerg, Lenzmann, Enno
We consider the nonlinear wave equation $i \partial_t u= \sqrt{-\Delta + m^2} u - (|x|^{-1} \ast |u|^2) u$ on $\RR^3$ modelling the dynamics of (pseudo-relativistic) boson stars. For spherically...
Mott transition in lattice boson models (2005)
Fernandez, Roberto, Froehlich, Juerg, Ueltschi, Daniel
We use mathematically rigorous perturbation theory to study the transition between the Mott insulator and the conjectured Bose-Einstein condensate in a hard-core Bose-Hubbard model. The critical line...
The Renormalized Electron Mass in Non-Relativistic Quantum Electrodynamics (2005)
Bach, Volker, Chen, Thomas, Froehlich, Juerg, Sigal, Israel Michael
This work addresses the problem of infrared mass renormalization for a scalar electron in a translation-invariant model of non-relativistic QED. We assume that the interaction of the electron with...
Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation (2004)
Froehlich, Juerg, Lenzmann, Enno
We discuss the Hartree equation arising in the mean-field limit of large systems of bosons and explain its importance within the class of nonlinear Schroedinger equations. Of special interest to us...
Hund's rule and metallic ferromagnetism (2004)
Froehlich, Juerg, Ueltschi, Daniel
We study tight-binding models of itinerant electrons in two different bands, with effective on-site interactions expressing Coulomb repulsion and Hund's rule. We prove that, for sufficiently large...
The Decay of Unstable Noncommutative Solitons (2003)
Chen, Thomas, Froehlich, Juerg, Walcher, Johannes
We study the classical decay of unstable scalar solitons in noncommutative field theory in 2+1 dimensions. This can, but does not have to, be viewed as a toy model for the decay of D-branes in string...
Dissipative Transport: Thermal Contacts and Tunnelling Junctions (2002)
Froehlich, Juerg, Merkli, Marco, Ueltschi, Daniel
The general theory of simple transport processes between quantum mechanical reservoirs is reviewed and extended. We focus on thermoelectric phenomena, involving exchange of energy and particles....
Topological Field Theory Interpretation of String Topology (2002)
Cattaneo, Alberto S., Froehlich, Juerg, Pedrini, Bill
The string bracket introduced by Chas and Sullivan [math.GT/9911159] is reinterpreted from the point of view of topological field theories in the Batalin-Vilkovisky or BRST formalisms. Namely,...
Effective Hamiltonians and Phase Diagrams for Tight-Binding Models (1998)
Datta, Nilanjana, Fernandez, Roberto, Froehlich, Juerg
We present rigorous results for several variants of the Hubbard model in the strong-coupling regime. We establish a mathematically controlled perturbation expansion which shows how previously...
Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly (1998)
Alekseev, Anton Yu., Cheianov, Vadim V., Froehlich, Juerg
We study transport in a class of physical systems possessing two conserved chiral charges. We describe a relation between universality of transport properties of such systems and the chiral anomaly....
Bosonization of Fermi Liquids (1996)
Froehlich, Juerg, Goetschmann, Roland
We consider systems of non-relativistic, interacting electrons at finite density and zero temperature in d = 2, 3, ... dimensions. Our main concern is to characterize those systems that, under the...
Topological BF Theories in 3 and 4 Dimensions (1995)
Cattaneo, Aberto S., Cotta-Ramusino, Paolo, Froehlich, Juerg, Martellini, Maurizio
In this paper we discuss topological BF theories in 3 and 4 dimensions. Observables are associated to ordinary knots and links (in 3 dimensions) and to 2-knots (in 4 dimensions). The vacuum...