Closed-form solutions of the Schrödinger equation for a coupled harmonic potential in three dimensions

DOI10.1016/J.CAMWA.2013.04.030zbMath1360.81150OpenAlexW1996972857MaRDI QIDQ524573

Yong-Cai Geng, Sumit K. Garg

Publication date: 3 May 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.04.030

zbMATH Keywords

closed-form solutionsSchrödinger equationansatz methodcoupled harmonic potential

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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)

Eigenspectra of a complex coupled harmonic potential in three dimensions ⋮ Higher order polynomial complex invariants for one-dimensional anharmonic potentials ⋮ Complex integrals for 3-dimensional non-Hermitian Hamiltonian systems ⋮ Complex invariants for some time-independent and time-dependent classical systems

Cites Work

• Unnamed Item
• Exact solutions of the Schrödinger equation for an anharmonic potential in two dimensions
• Quantum mechanics of noncentral harmonic and anharmonic potentials in two-dimensions
• On the quantum mechanics of complex Hamiltonian systems in one dimension
• Exact solutions of the Schrödinger equation for nonseparable anharmonic oscillator potentials in two dimensions
• Solution of Schrödinger Equation for Two-Dimensional Complex Quartic Potentials
• The solution of the Schrödinger equation for complex Hamiltonian systems in two dimensions

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