Qiang–Dong proper quantization rule and its applications to exactly solvable quantum systems

DOI10.1063/1.3466802zbMath1312.81076OpenAlexW1970712168MaRDI QIDQ5253681

Shi-Hai Dong, Xiao-Yan Gu, F. A. Serrano

Publication date: 27 May 2015

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

Full work available at URL: https://doi.org/10.1063/1.3466802

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Supersymmetry and quantum mechanics (81Q60) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Special quantum systems, such as solvable systems (81Q80)

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Cites Work

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• Exact solutions of thes-wave Schrödinger equation with Manning–Rosen potential
• Analytic calculation of energies and wave functions of the quartic and pure quartic oscillators
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• Energy spectra for modified Rosen–Morse potential solved by the exact quantization rule
• Quasilinearization method and its verification on exactly solvable models in quantum mechanics
• The Factorization Method
• Numerical investigation of quasilinearization method in quantum mechanics
• Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs

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