Exact analytical solutions of the Hamiltonian with a squared tangent potential

DOI10.1023/B:JOMC.0000004073.17023.41zbMath1053.81085OpenAlexW2018918723MaRDI QIDQ1420782

Hasan Taşeli

Publication date: 23 January 2004

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

Full work available at URL: https://doi.org/10.1023/b:jomc.0000004073.17023.41

zbMATH Keywords

hypergeometric functionsSchrödinger equationcotangent and tangent potentialsexactly solvable Hamiltonians

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Computational methods for problems pertaining to quantum theory (81-08) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (5)

General solution of the Schrödinger equation for some trigonometric potentials ⋮ Explicit general solution of the squared secant potential and some consequences ⋮ Pseudospectral methods for solving an equation of hypergeometric type with a perturbation ⋮ Quantum information entropies for a squared tangent potential well ⋮ Klein–Gordon oscillator in the presence of the minimal momentum

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