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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
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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
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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
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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 ...
Exactly solvable models and ultracold Fermi gases
Exactly solvable models ultracold Fermi gases
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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...
New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
Two-Dimensional Quantum Model Amenable Separation Variables
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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 Schrödinger operators
solvable Schrö dinger operators
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2010/10/21
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...
Ion-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons
phase transition bosons Ion-trap simulation
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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
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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
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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...