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Approximate L-State Solution of the Rotating Trigonometric P\"oschl-Teller Potential

Chemical Physics 2012-12-10 v2 Quantum Physics

Abstract

The trigonometric P\"oschl-Teller (PT) potential describes the diatomic molecular vibration. We have obtained the approximate solutions of the radial Schr\"odinger equation (SE) for the rotating trigonometric PT potential using the Nikiforov-Uvarov (NU) method. The energy eigenvalues and their corresponding eigenfunctions are calculated for arbitrary -states in closed form. In the low screening region, when the screening parameter the potential reduces to Kratzer potential. Further, some numerical results are presented for several diatomic molecules.

Keywords

Cite

@article{arxiv.1205.0941,
  title  = {Approximate L-State Solution of the Rotating Trigonometric P\"oschl-Teller Potential},
  author = {Majid Hamzavi and Sameer M. Ikhdair},
  journal= {arXiv preprint arXiv:1205.0941},
  year   = {2012}
}

Comments

14 pages, 5 Figures; Accepted Molecular Physics 2012

R2 v1 2026-06-21T20:58:39.757Z