A new expansion of the Heisenberg equation of motion with projection operator

Tomoi Koide, Masahiro Maruyama

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We derive a new expansion of the Heisenberg equation of motion based on the projection operator method proposed by Shibata, Hashitsume and Shingū. In their projection operator method, a certain restriction is imposed on the initial state. As a result, one cannot prepare arbitrary initial states, for example a coherent state, to calculate the time development of quantum systems. In this paper, we generalize the projection operator method by relaxing this restriction. We explain our method in the case of a Hamiltonian both with and without explicit time dependence. Furthermore, we apply it to an exactly solvable model called the damped harmonic oscillator model and confirm the validity of our method.

Original languageEnglish
Pages (from-to)575-594
Number of pages20
JournalProgress of Theoretical Physics
Volume104
Issue number3
DOIs
Publication statusPublished - 2000 Sep

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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