THREE-DIMENSIONAL ISOTROPIC PSEUDO-GAUSSIAN OSCILLATORS

Ion I. Cotăescu (), Paul Grăvilă () and Marius Paulescu ()
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Ion I. Cotăescu: West University of Timişoara, V. Pârvan Ave. 4, RO-300223 Timişoara, Romania
Paul Grăvilă: West University of Timişoara, V. Pârvan Ave. 4, RO-300223 Timişoara, Romania
Marius Paulescu: West University of Timişoara, V. Pârvan Ave. 4, RO-300223 Timişoara, Romania

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 07, 1103-1111

Abstract: A family of isotropic three-dimensional quantum models governed by isotropic pseudo-Gaussian potentials is proposed. These potentials are defined to have a Gaussian asymptotic behavior but approaching to the potential of the isotropic harmonic oscillator whenx→ 0. These models may have finite energy spectra with approximately equidistant energy levels that can be calculated using efficient numerical methods based on generating functionals.

Keywords: Pseudo-Gaussian potentials; generating functionals; energy levels; 03.65.Ge (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014254

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