Phantom without phantom or how the PT symmetry saves us from the Big Rip (2008)
Andrianov, A. A., Cannata, F., Kamenshchik, A. Y., Regoli, D.
We consider the PT symmetric flat Friedmann model of two scalar fields with positive kinetic terms. While the potential of one ("normal") field is taken real, that of the other field is complex. We...
Two-field cosmological models and large-scale cosmic magnetic fields (2008)
Andrianov, A. A., Cannata, F., Kamenshchik, A. Yu., Regoli, D.
We consider two different toy cosmological models based on two fields (one normal scalar and one phantom) realizing the same evolution of the Bang-to-Rip type. One of the fields (pseudoscalar)...
Signals of bimodality in the fragmentation of Au quasi-projectiles (2008)
Bruno, M., Gulminelli, F., Cannata, F., D'Agostino, M., Gramegna, F., Vannini, G.
Signals of bimodality have been investigated in experimental data of quasi-projectile decay produced in Au+Au collisions at 35 AMeV. This same data set was already shown to provide several signals...
Two-dimensional Schr\"odinger Hamiltonians with Effective Mass in SUSY Approach (2007)
Cannata, F., Ioffe, M. V., Nishnianidze, D. N.
The general solution of SUSY intertwining relations of first order for two-dimensional Schr\"odinger operators with position-dependent (effective) mass is built in terms of four arbitrary functions....
Pseudo-Hermiticity of an Exactly Solvable Two-Dimensional Model (2007)
Cannata, F., Ioffe, M. V., Nishnianidze, D. N.
We study a two-dimensional exactly solvable non-Hermitian $PT-$non-symmetric quantum model with real spectrum, which is not amenable to separation of variables, by supersymmetrical methods. Here we...
Symmetries and the cosmological constant puzzle (2007)
Andrianov, A. A., Cannata, F., Giacconi, P., Kamenshchik, A. Yu., Soldati, R.
We outline the evaluation of the cosmological constant in the framework of the standard field-theoretical treatment of vacuum energy and discuss the relation between the vacuum energy problem and the...
Bimodal pattern in the fragmentation of Au quasi-projectiles (2006)
Bruno, M., Gulminelli, F., Cannata, F., D'Agostino, M., Gramegna, F., Vannini, G.
Signals of bimodality have been investigated in experimental data of quasi-projectile decay produced in Au+Au collisions at 35 AMeV. This same data set was already shown to present several signals...
Andrianov, A. A., Cannata, F., Sokolov, A. V.
We study complex potentials and related non-diagonalizable Hamiltonians with special emphasis on formal definitions of associated functions and Jordan cells. The nonlinear SUSY for complex potentials...
Isotope analysis in central heavy ion collisions at intermediate energies (2006)
Abbondanno, U., Bardelli, L., Barlini, S., Bini, M., Bruno, M., ...
Symmetry energy is a key quantity in the study of the equation of state of asymmetric nuclear matter. Heavy ion collisions at low and intermediate energies, performed at Laboratori Nazionali di...
Perturbation theory of PT-symmetric Hamiltonians (2006)
Caliceti, E., Cannata, F., Graffi, S.
In the framework of perturbation theory the reality of the perturbed eigenvalues of a class of $\PT$symmetric Hamiltonians is proved using stability techniques. We apply this method to $\PT$symmetric...
Scattering in PT-symmetric quantum mechanics (2006)
A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients are derived in the...
Clajus, M., Egun, P. M., Gruebler, W., Hautle, P., Kretschmer, W., Rauscher, A., ...
The 3S1-3D1 mixing parameter [epsilon]1 and the 3PJ phase shifts in the N-N system at low energy are investigated in the three nucleon system. The sensitivity of polarization transfer coefficients in...
Complex Lagrangians and phantom cosmology (2006)
Andrianov, A. A., Cannata, F., Kamenshchik, A. Y.
Motivated by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with PT symmetry, we show how a classical cosmological model describes a smooth transition from ordinary...
Sokolov, A. V., Andrianov, A. A., Cannata, F.
We consider QM with non-Hermitian quasi-diagonalizable Hamiltonians, i.e. the Hamiltonians having a number of Jordan cells in particular biorthogonal bases. The "self-orthogonality" phenomenon is...
Exactly Solvable Two-Dimensional Complex Model with Real Spectrum (2005)
Cannata, F., Ioffe, M. V., Nishnianidze, D. N.
Supersymmetrical intertwining relations of second order in derivatives allow to construct a two-dimensional quantum model with complex potential, for which {\it all} energy levels and bound state...
Configuration mixing and total muon capture rates (2005)
The Primakoff closure approximation is modified to get independence on the mean neutrino energy and energy weighted sum rules are used for the corrective terms. A near model- independent discussion...
SU(4) breaking, allowed transitions and total muon capture rates in nuclei (2005)
The authors study muon capture rates in light nuclei and show that one can evaluate them in a model-independent way by correcting the Primakoff closure approximation to the first order in the...
Double Shape Invariance of Two-Dimensional Singular Morse Model (2005)
Cannata, F., Ioffe, M. V., Nishnianidze, D. N.
A second shape invariance property of the two-dimensional generalized Morse potential is discovered. Though the potential is not amenable to conventional separation of variables, the above property...
nuclear liquid-gas phase transition : experimental signals (2005)
D'Agostino, M., Bruno, M., Gulminelli, F., Cannata, F., Chomaz, Ph., Casini, G., ...
The connection between the thermodynamics of charged finite nuclear systems and the asymptotically measured partitions in heavy ion collisions is discussed. Different independent signals compatible...
nuclear liquid-gas phase transition : experimental signals (2005)
D'Agostino, M., Bruno, M., Gulminelli, F., Cannata, F., Chomaz, Ph., Casini, G., ...
The connection between the thermodynamics of charged finite nuclear systems and the asymptotically measured partitions in heavy ion collisions is discussed. Different independent signals compatible...
CATHODE-GRID PHENOMENA IN HYDROGEN THYRATRONS, (2005)
Creedon,J. E., Schneider,S., Cannata,F.
The performance of the grid-cathode region of hydrogen thyratrons was investigated at pulse lengths of 5, 30, and 1000 microseconds. Experimental results of current capabilities are discussed for...
Bagchi, B., Banerjee, A., Caliceti, E., Cannata, F., Geyer, H. B., Quesne, C., ...
A brief overview is given of recent developments and fresh ideas at the intersection of PT and/or CPT-symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). We study the...
Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics (2004)
Nonlinear (Polynomial, N-fold) SUSY approach to preparation of quantum systems with pre-planned spectral properties is reviewed. The full classification of ladder-reducible and irreducible chains of...
Higher Order Matrix SUSY Transformations in Two-Dimensional Quantum Mechanics (2004)
Cannata, F., Ioffe, M. V., Neelov, A. I., Nishnianidze, D. N.
The iteration procedure of supersymmetric transformations for the two-dimensional Schroedinger operator is implemented by means of the matrix form of factorization in terms of matrix 2x2...
Experimental signals of phase transition (2004)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
Experimental signals of phase transition (2004)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
Experimental signals of phase transition (2004)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
Experimental Signals of Phase Transition (2003)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
The connection between the thermodynamics of charged finite nuclear systems and the asymptotically measured partitions is presented. Some open questions, concerning in particular equilibrium...
Critical-like behaviours in central and peripheral collisions: a comparative analysis (2003)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
Two-dimensional SUSY-pseudo-Hermiticity without separation of variables (2003)
Cannata, F., Ioffe, M. V., Nishnianidze, D. N.
We study SUSY-intertwining for non-Hermitian Hamiltonians with special emphasis to the two-dimensional generalized Morse potential, which does not allow for separation of variables. The complexified...
Critical-like behaviours in central and peripheral collisions: a comparative analysis (2003)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
Critical-like behaviours in central and peripheral collisions: a comparative analysis (2003)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential (2002)
Levai, G., Cannata, F., Ventura, A.
Closed expressions are derived for the pseudo-norm, norm and orthogonality relations for arbitrary bound states of the PT symmetric and the Hermitian Scarf II potential for the first time. The...
Critical behaviors in central and peripheral collisions: a comparative analysis (2002)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
Quasi-projectile events from peripheral 35 A.MeV Au+ Au collisions are compared to central Au + C, Au + Cu and Au + Au events in the same range of excitation energy in terms of critical partitions...
On the reliability of negative heat capacity measurements (2002)
Copinet, N., Bougault, R., Gulminelli, F., Bruno, M., Cannata, F., Chomaz, P., ...
Cannata, F., Ioffe, M. V., Nishnianidze, D. N.
Two new methods for investigation of two-dimensional quantum systems, whose Hamiltonians are not amenable to separation of variables, are proposed. 1)The first one - $SUSY-$ separation of variables -...
Nuclear fragmentation and thermodynamical signals of phase transition (2002)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
On the reliability of negative heat capacity measurements (2002)
Copinet, N., Bougault, R., Gulminelli, F., Bruno, M., Cannata, F., Chomaz, P., ...
Nuclear fragmentation and thermodynamical signals of phase transition (2002)
D'Agostino, M., Bruno, M., Gulminelli, F., Bougault, R., Cannata, F., Chomaz, Ph., ...
On the reliability of negative heat capacity measurements (2002)
Copinet, N., Bougault, R., Gulminelli, F., Bruno, M., Cannata, F., Chomaz, P., ...
On the reliability of negative heat capacity measurements (2001)
D'Agostino, M., Bougault, R., Gulminelli, F., Bruno, M., Cannata, F., Chomaz, Ph., ...
A global protocol for the thermostatistical analysis of hot nuclear sources is discussed. Within our method of minimization of variances we show that the abnormal kinetic energy fluctuation signal...
Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom (2000)
The approach of multi-dimensional SUSY Quantum Mechanics is used in an explicit construction of exactly solvable 3-body (and quasi-exactly-solvable $N$-body) matrix problems on a line. From...
A New Class of PT-symmetric Hamiltonians with Real Spectra (2000)
Cannata, F., Ioffe, M., Roychoudhury, R., Roy, P.
We investigate complex PT-symmetric potentials, associated with quasi-exactly solvable non-hermitian models involving polynomials and a class of rational functions. We also look for special solutions...
Supersymmetry without hermiticity (2000)
Znojil, M., Cannata, F., Bagchi, B., Roychoudhury, R.
A new model of supersymmetry between bosons and fermions is proposed. Its representation space is spanned by states with PT symmetry and real energies but the inter-related partner Hamiltonians...
PT-symmetric sextic potentials (2000)
Bagchi, B., Cannata, F., Quesne, C.
The family of complex PT-symmetric sextic potentials is studied to show that for various cases the system is essentially quasi-solvable and possesses real, discrete energy eigenvalues. For a...
D'Agostino, M., Gulminelli, F., Chomaz, Ph., Bruno, M., Cannata, F., Bougault, R., ...
An experimental indication of negative heat capacity in excited nuclear systems is inferred from the event by event study of energy fluctuations in $Au$ quasi-projectile sources formed in $Au+Au$...
Systems with Higher-Order Shape Invariance: Spectral and Algebraic Properties (1999)
Andrianov, A., Cannata, F., Ioffe, M., Nishnianidze, D.
We study a complex intertwining relation of second order for Schroedinger operators and construct third order symmetry operators for them. A modification of this approach leads to a higher order...
Multifragmentation of heavy systems at intermediate energies (1999)
D'Agostino, M., Bruno, M., Bonasera, A., Botvina, A.S., Bougault, R., Cannata, F., ...
Multifragmentation of heavy systems at intermediate energies (1999)
D'Agostino, M., Bruno, M., Bonasera, A., Botvina, A.S., Bougault, R., Cannata, F., ...
Intertwining relations of non-stationary Schr\"odinger operators (1998)
Cannata, F., Ioffe, M., Junker, G., Nishnianidze, D.
General first- and higher-order intertwining relations between non-stationary one-dimensional Schr\"odinger operators are introduced. For the first-order case it is shown that the intertwining...
Solvable potentials, non-linear algebras, and associated coherent states (1998)
Cannata, F., Junker, G., Trost, J.
Using the Darboux method and its relation with supersymmetric quantum mechanics we construct all SUSY partners of the harmonic oscillator. With the help of the SUSY transformation we introduce ladder...
SUSY Quantum Mechanics with Complex Superpotentials and Real Energy Spectra (1998)
Andrianov, A. A., Cannata, F., Ioffe, M. V.
We extend the standard intertwining relations used in Supersymmetrical (SUSY) Quantum Mechanics which involve real superpotentials to complex superpotentials. This allows to deal with a large class...
Matrix Hamiltonians: SUSY approach to hidden symmetries (1997)
Andrianov, A. A., Cannata, F., Nishnianidze, D. N., Ioffe, M. V.
A new supersymmetric approach to the analysis of dynamical symmetries for matrix quantum systems is presented. Contrary to standard one dimensional quantum mechanics where there is no role for an...
Meson Production and Bose-Einstein Pion Correlations in High Energy Collisions (1996)
Cannata, F., Dedonder, J-P., Locher, M. P.
The pion Bose-Einstein correlation parameters determined by OPAL show a weak dependence on pion multiplicity. We argue that the observed increase of the interaction radius, and the decrease of the...
Local realizations of $q$-Oscillators in Quantum Mechanics (1996)
Andrianov, A. A., Cannata, F., Ioffe, M. V.
Representations of the quantum q-oscillator algebra are studied with particular attention to local Hamiltonian representations of the Schroedinger type. In contrast to the standard harmonic...
Amado, R. D., Cannata, F., Dedonder, J-P., Locher, M. P., Lu, Yang, Markushin, V. E.
We discuss pion multiplicities and single pion momentum spectra from proton antiproton annihilation at rest. Both the scaled phase space model and the Skyrme-coherent state approach describe these...
Isospin recoupling and Bose-Einstein pion correlations in $\bar N$N annihilations (1995)
Amado, R.D., Cannata, F., Dedonder, J.P., Locher, M.P., Yang, Lu
Isospin recoupling and Bose-Einstein pion correlations in $\bar N$N annihilations (1995)
Amado, R.D., Cannata, F., Dedonder, J.P., Locher, M.P., Yang, Lu
Isospin Recoupling and Bose-Einstein Pion Correlations in Nucleon-Antinucleon Annihilations (1994)
Amado, R. D., Cannata, F., Dedonder, J-P., Locher, M. P., Lu, Yang
We study the effect of isospin projections on a two source picture of coherent pions coming from nucleon-antinucleon annihilation. We show that important Hanbury-Brown Twiss correlations among like...
Higher-Order Derivative Susy in Quantum Mechanics with Large Energy Shifts (1994)
Andrianov, A. A., Cannata, F., Ioffe, M. V.
Within the framework of second order derivative (one dimensional) SUSYQM we discuss particular realizations which incorporate large energy shifts between the lowest states of the spectrum of the...
Second Order Derivative Supersymmetry and Scattering Problem (1994)
Andrianov, A. A., Cannata, F., Ioffe, M. V.
Extensions of standard one-dimensional supersymmetric quantum mechanics are discussed. Supercharges involving higher order derivatives are introduced leading to an algebra which incorporates a higher...
Coherent state formulation of pion radiation from nucleon antinucleon annihilation (1994)
Amado, R. D., Cannata, F., Locher, M. P., Shao, Bin
We assume that nucleon antinucleon annihilation is a fast process leading to a classical coherent pion pulse. We develop the quantum description of such pion waves based on the method of coherent...