The improved quantization rule and the Langer modification

DOI10.1016/j.physleta.2007.11.003zbMath1220.81147OpenAlexW2053555920MaRDI QIDQ637182

Xiao-Yan Gu, Shi-Hai Dong

Publication date: 2 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.11.003

zbMATH Keywords

WKB approximationbound statesMaslov indeximproved quantization ruleLanger modification

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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) Lagrangian submanifolds; Maslov index (53D12)

Related Items (12)

Exact solutions of the Schrödinger equation with a complex periodic potential ⋮ The Maslov index for composite power-law potentials: the case of the first Exton potential ⋮ Energy spectrum for a modified Rosen-Morse potential solved by proper quantization rule and its thermodynamic properties ⋮ Ma-Xu quantization rule and exact JWKB condition for translationally shape invariant potentials ⋮ Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules ⋮ Fermi's ansatz and Bohm's quantum potential ⋮ EXACT SOLUTIONS OF NON-CENTRAL POTENTIALS ⋮ THE QUANTIZATION RULE AND MASLOV INDEX ⋮ Energy spectrum of the relativistic Duffin-Kemmer-Petiau equation ⋮ Proper quantization rule as a good candidate to semiclassical quantization rules ⋮ Any ℓ-state solutions of the Hulthén potential in arbitrary dimensions ⋮ Qiang–Dong proper quantization rule and its applications to exactly solvable quantum systems

Cites Work

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• Arbitrary \(l\)-state solutions of the rotating Morse potential through the exact quantization rule method
• Energy spectrum of the trigonometric Rosen-Morse potential using an improved quantization rule
• Semiclassical theory for two-anyon system
• The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation
• Phase Loss in WKB Waves Due to Reflection by a Potential
• Asymptotics of radial wave equations
• On the Connection Formulas and the Solutions of the Wave Equation

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