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Studies of Coupled Anharmonic Oscillator Problem Using Coherent States and Path Integral Approaches
Author(s) -
Bose S. K.,
Tripathy D. N.
Publication year - 1983
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190310302
Subject(s) - anharmonicity , path integral formulation , coherent states , physics , representation (politics) , path (computing) , quantum mechanics , quantum , classical mechanics , computer science , politics , political science , law , programming language
The present review is devoted to the study of the problem of coupled anharmonic oscillators. A perturbative solution is obtained for the system of an undamped and the damped coupled anharmonic oscillators in the coherent state representation. The solution does not contain the vicious secular terms and shows, explicitly, the anharmonic effects of a coupled system. In order to derive the perturbative solution of a damped coupled system a new frame of time, called quasi time τ, has been exploited. The large quantum number behaviour of coupled anharmonic oscillators has been derived using the path integral method.