The Large Time Behaviour in Quantum Field Theory and Quantum Chaos
Abstract
An exact general formula for the matrix elements of the evolution operator in quantum theory is established. The formul ("ABCformula") has the form <U(t)>=exp(At+B+C(t)). The constants A and B and the decreasing function C(t) are computed in perturbation theory. The ABCformula is valid for a general class of Hamiltonians used in statistical physics and quantum field theory. The formula includes the higher order corrections to the well known WeisskopfWigner approximation and to the stochastic (van Hove) limit which are widely used in considerations of problems of radiation, decay, quantum decoherence, derivation of master and kinetic equations etc. The function C(t) admits an interpretation as an analogue of the autocorrelation function describing quantum chaos for the quantum baker's map.
 Publication:

arXiv eprints
 Pub Date:
 October 1999
 arXiv:
 arXiv:quantph/9910109
 Bibcode:
 1999quant.ph.10109A
 Keywords:

 Quantum Physics;
 Statistical Mechanics;
 Mathematical Physics
 EPrint:
 15 pages, latex