General solution of the Schrödinger equation for some trigonometric potentials

DOI10.1007/S10910-020-01120-7zbMath1437.81019OpenAlexW3011016433MaRDI QIDQ2173273

H. Alıcı, Tanfer Tanrıverdi

Publication date: 22 April 2020

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

Full work available at URL: https://doi.org/10.1007/s10910-020-01120-7

zbMATH Keywords

Schrödinger equationcontour integral solutionrecursive general solutiontrigonometric potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Recursively (computably) enumerable sets and degrees (03D25)

Related Items (2)

A Rayleigh-Ritz method for numerical solutions of linear Fredholm integral equations of the second kind ⋮ Explicit general solution of the squared secant potential and some consequences

Cites Work

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• The scaled Hermite-Weber basis in the spectral and pseudospectral pictures
• The analysis of contour integrals
• Exact analytical solutions of the Hamiltonian with a squared tangent potential
• Exactly soluble Hamiltonian with a squared cotangent potential
• Generalization of the eigenvalues by contour integrals
• Contour integrals associated differential equations
• Extending the class of solvable potentials: II. Screened Coulomb potential with a barrier
• Differential equations with contour integrals
• Exact solutions for vibrational levels of the Morse potential

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