Publication
Journal of Physics A: Mathematical and General
Paper

Construction of quantum systems with soluble ground-state properties

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Abstract

The authors propose a transformation of the Langevin equation into an eigenvalue problem as a method to construct systems with soluble ground-state properties. As examples, they discuss quantum systems resulting from the Toda and sine-Gordon chains evolving according to the Langevin equation. Some ground-state properties are then evaluated with methods originally devised to calculate the partition function of one-dimensional classical systems. They also present numerical results for the two-phonon bound-state frequency and its coupling constant dependence by simulating a generalised quantum sine-Gordon system.

Date

01 Jan 1999

Publication

Journal of Physics A: Mathematical and General

Authors

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