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Perturbation theory without wave function for multidimensional systems
Author(s) -
Fernández Francisco M.,
Castro Eduardo A.
Publication year - 1984
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.560260408
Subject(s) - zeeman effect , perturbation (astronomy) , eigenvalues and eigenvectors , perturbation theory (quantum mechanics) , wave function , recursion (computer science) , poincaré–lindstedt method , physics , quantum mechanics , statistical physics , mathematical analysis , mathematics , magnetic field , algorithm
A new method to obtain perturbation corrections to the eigenvalues of multidimensional quantummechanical models is developed. It consists of rearranging the Rayleigh‐Schrodinger perturbation theory so that any coefficient of the perturbation series is obtained from a simple and compact recursion relationship. The Zeeman effect in hydrogen and the hydrogen molecule‐ion are used to illustrate the procedure.