NUMERICAL CALCULATIONS OF THE SMALL RELATIVISTIC CORRECTIONS OF ANISOTROPIC QUANTUM HARMONIC OSCILLATOR ENERGY EIGENVALUES: THE TWO- AND THREE-DIMENSIONAL CASE

Gheorghe Ardelean () and Ion I. Cotăescu
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Gheorghe Ardelean: West University of Timişoara, Department of Theoretical and Computational Physics, V. Parvan No. 4, RO-1900 Timişoara, Romania
Ion I. Cotăescu: West University of Timişoara, Department of Theoretical and Computational Physics, V. Parvan No. 4, RO-1900 Timişoara, Romania

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 04, 563-571

Abstract: In this paper the small relativistic correction for the energy eigenvalues of the two- and three-dimensional anisotropic quantum harmonic oscillator are calculated, using as eigenstates$|\psi \rangle =\sum_{n_1 n_2 n_3 =0}^\infty \xi_{n_1 n_2 n_3} | n_1 n_2 n_3\rangle$, for different values of the relativistic parametersβi≡ ħwi/ m0c2withi = 1, 2 and 3.

Keywords: Anharmonic Oscillator; Perturbation Theory; Relativistic Corrections (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1142/S0129183196000478

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