Mapping of two-dimensional Schrödinger equation under the point transformation (Q5354892)

scientific article; zbMATH DE number 6769734

Language	Label	Description	Also known as
English	Mapping of two-dimensional Schrödinger equation under the point transformation	scientific article; zbMATH DE number 6769734

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instance of

scholarly article

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title

Mapping of two-dimensional Schrödinger equation under the point transformation (English)

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author

Vladimir V. Vereshagin

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Mikhail V. Ioffe

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D. N. Nishnianidze

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published in

Journal of Mathematical Physics

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publication date

5 September 2017

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full work available at URL

https://arxiv.org/abs/1712.02253

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MaRDI profile type

MaRDI publication profile

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cites work

Q3293313

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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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Motion of Electrons and Holes in Perturbed Periodic Fields

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MAPPING OF NON-CENTRAL POTENTIALS UNDER POINT CANONICAL TRANSFORMATIONS

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A systematic study on the exact solution of the position dependent mass Schr dinger equation

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A GENERAL SCHEME FOR THE EFFECTIVE-MASS SCHRÖDINGER EQUATION AND THE GENERATION OF THE ASSOCIATED POTENTIALS

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A new effective mass Hamiltonian and associated Lamé equation: bound states

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

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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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First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions

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

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Two-dimensional Schrödinger Hamiltonians with effective mass in SUSY approach

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Superintegrable and shape invariant systems with position dependent mass

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Quantum oscillator and Kepler–Coulomb problems in curved spaces: Deformed shape invariance, point canonical transformations, and rational extensions

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Q4715209

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Q4525676

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Nonlinear supersymmetric quantum mechanics: concepts and realizations

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EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS

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Mapping of shape invariant potentials by the point canonical transformation

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

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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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Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions

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Time-dependent Schrödinger equations with effective mass in (2 + 1) dimensions: intertwining relations and Darboux operators

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SUSY method for the three-dimensional Schrödinger equation with effective mass

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Q5569399

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Rosen--Morse potential and its supersymmetric partners

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Identifiers

zbMATH Open document ID

1370.81059

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DOI

10.1063/1.4995382

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5354892