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

West University of Timişoara, Department of Theoretical and Computational Physics, V. Parvan No. 4, RO-1900 Timişoara, Romania

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and

ION I. COTĂESCU

West University of Timişoara, Department of Theoretical and Computational Physics, V. Parvan No. 4, RO-1900 Timişoara, Romania

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https://doi.org/10.1142/S0129183196000478Cited by:0 (Source: Crossref)

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 , for different values of the relativistic parameters β_i ≡ ħw_i / m₀c² with i = 1, 2 and 3.