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Pseudo-Gaussian Oscillators

Author

Listed:
  • 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)

Abstract

A new family of one-dimensional quantum models is proposed in terms of new potentials with a Gaussian asymptotic behavior but approaching to the potential of the harmonic oscillator whenx → 0. These models give rise to approximative equidistant energy levels of bound states and resonances as it is shown using numerical calculations based on an efficient method of generating functionals.

Suggested Citation

  • Ion I. Cotăescu & Paul Grăvilă & Marius Paulescu, 2008. "Pseudo-Gaussian Oscillators," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(10), pages 1607-1615.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:10:n:s012918310801314x
    DOI: 10.1142/S012918310801314X
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