Exact solution of the Schrödinger equation with a new expansion of anharmonic potential with the use of the supersymmetric quantum mechanics and factorization method

DOI10.1007/s10910-015-0532-4zbMath1329.81171OpenAlexW1234625265MaRDI QIDQ893200

Damian Mikulski, Marcin Molski, Jerzy Konarski, Krzysztof Eder, Stanisław Kabaciński

Publication date: 13 November 2015

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-015-0532-4

zbMATH Keywords

Riccati equationfactorization methodsupersymmetric quantum mechanicsanharmonic potentialsisospectral Hamiltonians

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (4)

Solutions of the Klein-Gordon equation with the improved Tietz potential energy model ⋮ A power series analysis of bound and resonance states of one-dimensional Schrödinger operators with finite point interactions ⋮ A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method ⋮ Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities

Cites Work

• Supersymmetric quantum mechanics and solvable models
• Exactly solvable supersymmetric quantum mechanics
• Factorization method and new potentials with the oscillator spectrum
• A general scheme for the construction of minimum uncertainty coherent states of anharmonic oscillators
• Darboux transformation for two-level system
• The Factorization Method

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