DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS

DOI10.1142/S0217751X0803807XzbMath1151.82410MaRDI QIDQ3532377

Axel Schulze-Halberg

Publication date: 3 November 2008

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

Darboux transformationeffective massstationary Schrödinger equationenergy-dependent potential

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of semiconductors (82D37) Statistical mechanics of solids (82D20)

Related Items (4)

Darboux transformations for energy-dependent potentials and the Klein-Gordon equation ⋮ Generation of exactly solvable potentials of the \(D\)-dimensional position-dependent mass Schrödinger equation using the transformation method ⋮ Exact solutions of position-dependent mass Schrödinger equation with pseudoharmonic oscillator and its thermal properties using extended Nikiforov-Uvarov method ⋮ Exactly solvable potentials and the bound-state solution of the position-dependent mass Schrödinger equation in \(D\)-dimensional space

Cites Work

• The Darboux transformation of the Schrödinger equation with an energy-dependent potential
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• REALITY CONDITION FOR DARBOUX TRANSFORMATIONS OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS
• A globally diagonalizable α²-dynamo operator, SUSY QM and the Dirac equation
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• The two-fermion relativistic wave equations of constraint theory in the Pauli–Schrödinger form
• Some Water Wave Equations and Integrability
• DARBOUX TRANSFORMATIONS FOR TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS

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