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Comment on "A new exactly solvable quantum model in $N$ dimensions"
Comment solvable quantum model $N$ dimensions
2011/7/7
We pinpoint that the work about "a new exactly solvable quantum model in $N$ dimensions" by Ballesteros et al. [Phys. Lett. A {\bf 375} (2011) 1431, arXiv:1007.1335] is not a new exactly solvable quan...
Comment on "A new exactly solvable quantum model in $N$ dimensions" [Phys. Lett. A 375(2011)1431, arXiv:1007.1335]
Position-dependent mass Arbitrary dimension N Solvable quantum model
2011/7/28
Abstract: We pinpoint that the work about "a new exactly solvable quantum model in $N$ dimensions" by Ballesteros et al. [Phys. Lett. A {\bf 375} (2011) 1431, arXiv:1007.1335] is not a new exactly sol...
Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials
quantum mechanics supersymmetry orthogonal polynomials
2011/7/26
Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials.
Quantum mechanical potentials exactly solvable in terms of higher hypergeometric functions. I: The third-order case
Quantum mechanical higher hypergeometric third-order
2011/7/25
Abstract: We present a new six-parameter family of potentials whose solutions are expressed in terms of the hypergeometric functions 3F2, 2F2 and 1F2. Both the scattering data and the bound states of ...
Constructing Exactly Solvable Pseudo-hermitian Many-particle Quantum Systems by Isospectral Deformation
Solvable Pseudo-hermitian Many-particle Quantum Systems Isospectral Deformation
2011/3/2
A class of non-Dirac-hermitian many-particle quantum systems admit-ting entirely real spectra and unitary time-evolution is presented. These quantum models are isospectral with Dirac-hermitian systems...
Exactly solvable models and ultracold Fermi gases
Exactly solvable models ultracold Fermi gases
2010/11/23
Exactly solvable models of ultracold Fermi gases are reviewed via their thermodynamic Bethe Ansatz solution. Analytical and numerical results are obtained for the thermodynamics and ground state prope...
An exactly solvable model for a beta-hairpin with random interactions
exactly solvable model beta-hairpin random interactions
2010/11/16
I investigate a disordered version of a simplified model of protein folding, with binary degrees of freedom, applied to an ideal beta-hairpin structure. Disorder is introduced by assuming that the co...
A simplified exactly solvable model for beta-amyloid aggregation
simplified exactly solvable model beta-amyloid aggregation
2010/11/15
We propose an exactly solvable simplified statistical mechanical model for the thermodynamics of beta-amyloid aggregation, generalizing a well-studied model for protein folding. The monomer concentrat...
New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
Two-Dimensional Quantum Model Amenable Separation Variables
2010/11/11
The supersymmetric intertwining relations with second order supercharges allow to investigate new two-dimensional model which is not amenable to standard separation of variables. The corresponding po...
Exactly solvable 1-dimensional Schr¨odinger equations play an important role in quantum physics. The best known are the harmonic oscillator and the radial equation for the hydrogen atom, which are cov...
We systematically describe and classify 1-dimensional Schr¨odinger equations that can be solved in terms of hypergeometric type functions. Beside the well-known families, we explicitly describe 2 new ...
Ion-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons
phase transition bosons Ion-trap simulation
2010/3/10
It is known that arrays of trapped ions can be used to efficiently simulate a variety of many-body quantum systems. Here, we show how it is possible to build a model representing a spin chain interact...
Non-Abelian statistics as a Berry phase in exactly solvable models
Non-Abelian statistics Berry phase solvable models
2010/4/13
We demonstrate how to directly study non-Abelian statistics for a wide class of exactly solvable many-body quantum systems. By employing exact eigenstates to simulate the adiabatic transport of a mode...
Quantum Decoherence of Macroscopic
Object Induced by Inner Environments: an Exactly Solvable Model
quantum decoherence macroscopic object inner environments
2007/8/15
2007Vol.47No.2pp.229-234DOI:
Quantum Decoherence of Macroscopic
Object Induced by Inner Environments: an Exactly Solvable Model
ZHENG Li1,2 and ZHENG Tai-Yu3
1 College o...