Quantum theory of anharmonic oscillator: Energy levels of a three-dimensional oscillator with quartic anisotropic perturbation

DOI10.1063/1.530341zbMath0784.35096OpenAlexW2091640915MaRDI QIDQ4276748

M. R. M. Witwit

Publication date: 10 February 1994

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

Full work available at URL: https://doi.org/10.1063/1.530341

zbMATH Keywords

Schrödinger equationperturbation parameters

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)

TLM representation of the hyperbolic heat conduction equation ⋮ Some inner product techniques for computing eigenvalues for three-dimensional anharmonic oscillators with quartic and sextic perturbations ⋮ Energy levels for a double-well potential in three-dimensional system using Hill determinant approach ⋮ Quantum theory of a double-well potential: Energy levels for symmetric and nonsymmetric double-well potentials in a three-dimensional system

Cites Work

• The perturbed three-dimensional oscillator
• 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

This page was built for publication: Quantum theory of anharmonic oscillator: Energy levels of a three-dimensional oscillator with quartic anisotropic perturbation