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Meaning of the perturbation theory for a class of multiple‐well anharmonic oscillators
Author(s) -
Graffi S.
Publication year - 1982
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.560210116
Subject(s) - anharmonicity , eigenvalues and eigenvectors , perturbation (astronomy) , mathematical physics , hamiltonian (control theory) , perturbation theory (quantum mechanics) , mathematics , quantum mechanics , physics , mathematical optimization
It is proved that the Borel sum of the Rayleigh‐Schrödinger perturbation expansion eigenvalue of the triple well anharmonic oscillators p 2 + x 2 − 2 g 2 n x 2 n +2 + g 4 n x 4 n +2 , g > 0, n = 2.3,… is a complex eigenvalue of a different problem. Its relation with the eigenvalues of the original Hamiltonian is discussed.