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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
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 ...
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...
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...
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...