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Perturbation theory for degenerate states of atomic and molecular systems
Author(s) -
Ivanov L. N.,
Safronova U. I.
Publication year - 1975
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.560090413
Subject(s) - degenerate energy levels , multiplet , excited state , adiabatic process , perturbation theory (quantum mechanics) , ground state , quantum mechanics , perturbation (astronomy) , physics , ion , quantum , operator (biology) , atomic physics , chemistry , quantum electrodynamics , biochemistry , repressor , transcription factor , gene , spectral line
The first few terms of the perturbation expansions for the function and the energy shift of a degenerate state of an arbitrary quantum mechanical system are obtained using the adiabatic formula. It is shown how the expansion for the secular operator may be obtained from the expansion for the function. The results are used to calculate energies of the ground and some excited states and multiplet splittings of some beryllium‐like ions.