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On canonical perturbation theory in classical mechanics
Author(s) -
Fernández Francisco M.
Publication year - 2001
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.10066
Subject(s) - anharmonicity , perturbation (astronomy) , poincaré–lindstedt method , perturbation theory (quantum mechanics) , classical mechanics , physics , canonical coordinates , mathematical physics , quantum mechanics , mathematics , statistical physics , phase space
We develop canonical perturbation theory for classical mechanics by means of the Lie method in a simple way that does not require the use of complex variables to solve the perturbation equations. In order to illustrate the approach we apply it to anharmonic oscillators. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001