Open AccessApplication of the hypervirial theorem scheme to the potential -D/cosh^2(r/R)
Author(s) -
Theodore E. Liolios,
M. E. Grypeos
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2874
Subject(s) - eigenvalues and eigenvectors , scheme (mathematics) , yield (engineering) , potential energy , energy (signal processing) , excited state , mathematics , conjunction (astronomy) , mathematical physics , quantum mechanics , physics , mathematical analysis , thermodynamics , astronomy
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.