Ma-Xu quantization rule and exact JWKB condition for translationally shape invariant potentials

DOI10.1016/j.physleta.2010.11.010zbMath1241.81074arXiv1001.0495OpenAlexW2069597128MaRDI QIDQ430657

Alain Bérard, Yves Grandati

Publication date: 26 June 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0495

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

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• Shape invariance and the exactness of the quantum Hamilton-Jacobi formalism
• Arbitrary \(l\)-state solutions of the rotating Morse potential through the exact quantization rule method
• The improved quantization rule and the Langer modification
• Energy spectrum of the trigonometric Rosen-Morse potential using an improved quantization rule
• Rational solutions for the Riccati-Schrödinger equations associated to translationally shape invariant potentials
• Convergent WKB series
• Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule
• Energy Eigenvalues for a Class of One-Dimensional Potentials via Quantum Hamilton–Jacobi Formalism
• Application of the exact quantization rule to the relativistic solution of the rotational Morse potential with pseudospin symmetry
• Energy spectra for modified Rosen–Morse potential solved by the exact quantization rule
• Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory

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