EXACT SOLUTIONS OF THE SCHRÖDINGER EQUATION FOR A NEW RING-SHAPED NONHARMONIC OSCILLATOR POTENTIAL

DOI10.1142/S0217751X08039621zbMath1144.81509OpenAlexW1985662650MaRDI QIDQ3519914

Yan-Fu Cheng, Tong-Qing Dai

Publication date: 19 August 2008

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x08039621

zbMATH Keywords

Schrödinger equationbound-statering-shaped nonharmonic potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Cites Work

• Inequivalent quantizations of the three-particle Calogero model constructed by separation of variables
• The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values
• Exact solutions and ladder operators for a new anharmonic oscillator
• The Klein–Gordon equation of generalized Hulthén potential in complex quantum mechanics
• PT/non-PT symmetric and non-Hermitian Pöschl–Teller-like solvable potentials via Nikiforov–Uvarov method
• Exact solution of the Schrödinger equation for the modified Kratzer potential plus a ring-shaped potential by the Nikiforov–Uvarov method
• A new ring-shaped potential and its dynamical invariance algebra
• Exponential Type Complex and Non-Hermitian Potentials in PT-Symmetric Quantum Mechanics
• Dynamical invariance algebra of the Hartmann potential
• Exact solutions of the Schrödinger equation with non-central potential by the Nikiforov–Uvarov method

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