Quantum mechanics of noncentral harmonic and anharmonic potentials in two-dimensions

DOI10.1016/0003-4916(91)90222-TzbMath0724.70020OpenAlexW1992109281MaRDI QIDQ758246

R. S. Kaushal

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0003-4916(91)90222-t

zbMATH Keywords

eigenfunctionMorse potentialSchrödinger wave equationanharmonic potentialsexponential-type central potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (9)

Exact solution to the Schrödinger’s equation with pseudo-Gaussian potential ⋮ Non-commutative Geometry and Applications to Physical Systems ⋮ Exact solutions of the Schrödinger equation for an anharmonic potential in two dimensions ⋮ Bethe ansatz solutions and hidden \(sl(2)\) algebraic structure for a class of quasi-exactly solvable systems ⋮ Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential ⋮ EXACT SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH SPHERICALLY SYMMETRIC OCTIC POTENTIAL ⋮ Closed-form solutions of the Schrödinger equation for a coupled harmonic potential in three dimensions ⋮ Study of anharmonic singular potentials ⋮ Unified derivation of exact solutions for a class of quasi-exactly solvable models

Cites Work

• A theory of exact and approximate configurational invariants
• Singular anharmonicities and the analytic continued fractions. II. The potentials V(r)=a r2+b r−4+c r−6
• Unnamed Item

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