Application of the hypervirial theorem scheme to the potential -D/cosh^2(r/R)
Περίληψη
The well known potential -D/cosh^2(r/R)is studied with the aim of obtaining approximate analytic expressions mainly for the energies of the excited states with l≠0. Use is made of the Hypervirial Theorems (HVT) in conjunction with the Hellmann-Feynman Theorem (HFT) which provide a very powerful scheme especially for the treatment of 'Oscillator-like' potentials,as previous studies have shown. The energy eigenvalues are calculated in the form of an expansion, the first terms of which, in many cases, yield very satisfactory results.
Λεπτομέρειες άρθρου
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Liolios, T., & Grypeos, M. (2020). Application of the hypervirial theorem scheme to the potential -D/cosh^2(r/R). Annual Symposium of the Hellenic Nuclear Physics Society, 4, 51–58. https://doi.org/10.12681/hnps.2874
- Τεύχος
- Τόμ. 4 (1993): HNPS1993
- Ενότητα
- Oral contributions