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Energy levels for perturbed Morse oscillators
Author(s) -
Requena A.,
Peña R.,
Serna A.
Publication year - 1980
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560170508
Subject(s) - quartic function , morse code , morse potential , perturbation (astronomy) , feynman diagram , physics , perturbation theory (quantum mechanics) , third order , mathematical physics , position (finance) , quantum mechanics , first order , quantum electrodynamics , classical mechanics , mathematics , pure mathematics , philosophy , electrical engineering , theology , finance , engineering , economics
The energy levels and perturbation expansions for the expectation values of arbitrary powers of position for a perturbed Morse oscillator are obtained by application of the hypervirial and Hellmann–Feynman theorems, solely in terms of the unperturbed energy. We obtain expressions for the first‐order corrections for (1 − e − aq ) m for 4 ⩽ m ⩽ 8 and the expressions to second and third order for the quartic perturbation. A numerical application to the CO molecule is made.