Energy levels for a double-well potential in three-dimensional system using Hill determinant approach

DOI10.1016/0377-0427(94)00119-7zbMath0853.65112OpenAlexW1993085589MaRDI QIDQ1919414

M. R. M. Witwit

Publication date: 5 January 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00119-7

zbMATH Keywords

eigenvaluesSchrödinger equationeigenstatesdouble-well potentialHill determinant method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (2)

r D oscillators with arbitrary D>0 and perturbation expansions with Sturmians ⋮ Quantum theory of a double-well potential: Energy levels for symmetric and nonsymmetric double-well potentials in a three-dimensional system

Cites Work

• An algorithm for the solution of the eigenvalue Schrödinger equation
• Some finite difference methods for computing eigenvalues and eigenvectors of special two-point boundary value problems
• A method for computing phase shifts for scattering
• The numerical solution of coupled differential equations arising from the Schrödinger equation
• Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation
• 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
• Finite difference calculations of eigenvalues for various potentials
• Energy levels of a three-dimensional anharmonic oscillator with sextic perturbation
• Quantum theory of anharmonic oscillator: Energy levels of a three-dimensional oscillator with quartic anisotropic perturbation
• Inner product perturbation theory for a perturbed two-dimensional oscillator with mixed parity potential

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