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29 March 2024
 
  » arxiv » quant-ph/9910109

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The Large Time Behaviour in Quantum Field Theory and Quantum Chaos
I.Ya. Aref’eva ; I.V. Volovich ;
Date 26 Oct 1999
Journal Canadian Math.Soc.Conf.Proc. 29 (2000) 15-27
Subject Quantum Physics; Statistical Mechanics; Mathematical Physics | quant-ph cond-mat.stat-mech hep-ph math-ph math.MP
AbstractAn exact general formula for the matrix elements of the evolution operator in quantum theory is established. The formul ("ABC-formula") has the form =exp(At+B+C(t)). The constants A and B and the decreasing function C(t) are computed in perturbation theory. The ABC-formula 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 Weisskopf-Wigner 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.
Source arXiv, quant-ph/9910109
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