Exact solutions of the Schrödinger equation for an anharmonic potential in two dimensions

DOI10.1016/J.AMC.2011.12.014zbMath1242.81078OpenAlexW2064474918MaRDI QIDQ422888

Ram Mehar Singh

Publication date: 18 May 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.014

zbMATH Keywords

Schrödinger equationanharmonic potentialansatz parameters

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (4)

Higher order polynomial complex invariants for one-dimensional anharmonic potentials ⋮ Closed-form solutions of the Schrödinger equation for a coupled harmonic potential in three dimensions ⋮ Search of exact invariants for \(\mathcal{PT}\) and non-\(\mathcal{PT}\)-symmetric complex Hamiltonian systems ⋮ Dynamical invariants for time-dependent real and complex Hamiltonian systems

Cites Work

• Quantum mechanics of noncentral harmonic and anharmonic potentials in two-dimensions
• Construction of exact invariants for time-dependent classical dynamical systems
• ON SOLVING THE SCHRÖDINGER-LIKE WAVE EQUATION IN N DIMENSIONS FOR GENERALIZED SEXTIC AND OCTIC POTENTIALS
• A class of exact solutions for anharmonically coupled oscillators
• Exact solutions of the Schrödinger equation for nonseparable anharmonic oscillator potentials in two dimensions
• Quantum Mechanics of Complex Sextic Potentials in One Dimension
• The Two-Minima Problem and the Ammonia Molecule
• Solution of Schrödinger Equation for Two-Dimensional Complex Quartic Potentials

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