Towards Time - Dynamics for Bosonic Systems in Quantum Statistical Mechanics

Shuhov, A. G. and Suhov, Yu. M. and Teslenko, A. V. (1989) Towards Time - Dynamics for Bosonic Systems in Quantum Statistical Mechanics. (Preprint)

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Abstract

Consider a one-dimensional lattice boson system with the Hamiltonian in a finite box Λ, H_Λ = K_Λ + U_Λ. Here K_Λ is the kinetic energy and U_Λ is the potential energy corresponding to a finite-range pair interaction. For a class of states T of the infinite system, we prove the existence of the limit T_t(A) = lim_(Λ→Z) T(e^(itH_Λ)*Ae^(-itH_Λ)) for any t ϵ R^4 and any local observable A. Thereby a family {T_t, t ϵ R^4} of locally normal states is determined which describes the time-evolution of the initial state T.

Item Type:	Article
Uncontrolled Keywords:	one—dimensional lattice boson system, diagonal state, time—evolution, path integrals
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:17
Last Modified:	17 Dec 2022 15:33
URI:	https://dair.dias.ie/id/eprint/790

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