Energy levels of double-well potentials in a three-dimensional system

DOI10.1063/1.531299zbMath0824.35108OpenAlexW1992354610MaRDI QIDQ4837343

M. R. M. Witwit

Publication date: 3 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.531299

zbMATH Keywords

Schrödinger equationrenormalized inner product perturbation technique

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)

Related Items (4)

An investigation of the effect of feedback on TLM nodes representing heat transfer ⋮ Error analysis and reduction in lossy TLM ⋮ Quantum theory of a double-well potential: Energy levels for symmetric and nonsymmetric double-well potentials in a three-dimensional system ⋮ Perturbation theory by the moment method and point-group symmetry

Cites Work

• Energy eigenvalues for an arbitrary potential well with N minima
• A simple iterative solution of the Schrodinger equation in matrix representation form
• Splitting in a double-minimum potential with almost twofold degenerate lower levels
• The eigenvalues of the Schrodinger equation for spherically symmetric states for various types of potentials in two, three and N dimensions, by using perturbative and non-perturbative methods
• Energy levels of two-dimensional anharmonic oscillators with sextic and octic perturbations
• The perturbed two-dimensional oscillator: eigenvalues and infinite-field limits via continued fractions, renormalised perturbation theory and moment methods

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