The Large Time Behaviour in Quantum Field Theory and Quantum Chaos

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dc.creatorAref'eva, I. Ya.
dc.creatorVolovich, I. V.
dc.date1999-10-26
dc.date.accessioned2026-07-07T06:17:06Z
dc.date.available2026-07-07T06:17:06Z
dc.descriptionAn exact general formula for the matrix elements of the evolution operator in quantum theory is established. The formul ("ABC-formula") 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 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.
dc.description15 pages, latex
dc.identifierhttps://arxiv.org/abs/quant-ph/9910109
dc.identifierhttp://arxiv.org/abs/quant-ph/9910109
dc.identifierCanadian Math.Soc.Conf.Proc. 29 (2000) 15-27
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94288
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.titleThe Large Time Behaviour in Quantum Field Theory and Quantum Chaos
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