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Algebraic solutions of shape-invariant position-dependent effective mass systems (Q3178306)

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Language	Label	Description	Also known as
English	Algebraic solutions of shape-invariant position-dependent effective mass systems	scientific article

Statements

scholarly article

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Algebraic solutions of shape-invariant position-dependent effective mass systems (English)

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Journal of Mathematical Physics

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publication date

11 July 2016

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full work available at URL

https://arxiv.org/abs/1606.08125

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zbMATH Keywords

von Roos and Lévy-Leblond

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MaRDI profile type

MaRDI publication profile

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Effect of position-dependent mass on dynamical breaking of type B and type<i>X</i><sub>2</sub>$\mathcal {N}$-fold supersymmetry

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Comment on “Coherent states for the nonlinear harmonic oscillator” [J. Math. Phys. 53, 062104 (2012)]

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Exact Solutions of Schrödinger Equation for the Position-Dependent Effective Mass Harmonic Oscillator

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Coherent states for nonlinear harmonic oscillator and some of its properties

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Barut—Girardello Coherent States for Nonlinear Oscillator with Position-Dependent Mass

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Generalized Coherent States for Position-Dependent Effective Mass Systems

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The Structure of Electronic Excitation Levels in Insulating Crystals

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Electrons in Perturbed Periodic Lattices

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A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour

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A generalized quantum nonlinear oscillator

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Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem

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An exactly soluble Schrödinger equation with smooth position-dependent mass

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EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS

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Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential

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Generation of isospectral combinations of the potential and the effective-mass variations by supersymmetric quantum mechanics

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Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass

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SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES

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Shape-invariant quantum Hamiltonian with position-dependent effective mass through second-order supersymmetry

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Exact solutions of the Schrödinger equation with position-dependent effective mass via general point canonical transformation

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<i>d</i>-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass

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Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations

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Lie algebras of differential operators and Lie-algebraic potentials

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PATH INTEGRAL SOLUTION OF NONCENTRAL POTENTIAL

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Coherent states for the nonlinear harmonic oscillator

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Space-time dynamics of Gazeau-Klauder coherent states in power-law potentials

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Generalized coherent states and their statistical characteristics in power-law potentials

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Comment on ``Generalized Heisenberg algebra coherent states for power-law potentials''

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New 'coherent' states associated with non-compact groups

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Position-dependent mass oscillators and coherent states

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\(SU(1,1)\) coherent states for position-dependent mass singular oscillators

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The Factorization Method

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Dynamical breaking of supersymmetry

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A search for shape-invariant solvable potentials

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A non-linear oscillator with quasi-harmonic behaviour: two- and<i>n</i>-dimensional oscillators

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One-dimensional model of a quantum nonlinear harmonic oscillator

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Identifiers

zbMATH Open document ID

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10.1063/1.4954283

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3178306

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