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Large orders and summability of eigenvalue perturbation theory: A mathematical overview
Author(s) -
Simon Barry
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.560210103
Subject(s) - anharmonicity , zeeman effect , eigenvalues and eigenvectors , perturbation theory (quantum mechanics) , path integral formulation , perturbation (astronomy) , mathematics , quantum mechanics , physics , statistical physics , mathematical physics , magnetic field , quantum
The study of large orders of perturbation theory in various problems is reviewed: the anharmonic oscillator, the Zeeman and Stark problems, double wells, and the like. Padé and Borel summability and path integral ideas are discussed. The rigorous results on the subject are summarized.