Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons

Arai, Asao

Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons

Arai, Asao

Journal of Mathematical Physics, 1989, 30(6), 1277-1288

Permalink : https://hdl.handle.net/2115/13678

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論文情報

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アクセス権	open access
URI	https://hdl.handle.net/2115/13678
タイトル	Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons
著者	e-Rad_Researcher 80134807 著者名 Arai, Asao
言語	英語
キーワード	quantum mechanics
	harmonic oscillators
	bosons
	interactions
	absolute zero temperature
	temperature dependence
	hilbert space
	fock representation
	hamiltonians
	functions
発行日	1989-06
出版者	American Institute of Physics
収録物名	Journal of Mathematical Physics
巻(号)	30(6)
ページ	1277-1288
抄録	A class of exactly soluble models of a one-dimensional quantum harmonic oscillator interacting with bosons moving in the d-dimensional space R^d is considered and the long-time behavior of the two-point function of the oscillator at zero temperature and at finite temperatures is analyzed. It is shown that the two-point functions decay with a power-law respectively as the time tends to infinity and that, in the case where the boson is massless, the two-point function at zero temperature decays faster than those at finite temperatures, while, in the case where the boson is massive, they decay with the same order. Further, the dependence of the decay order on d as well as on the infrared behavior of the one-boson energy and the momentum cutoff function in the interaction Hamiltonian is clarified in each case.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Copyright © 1989 American Institute of Physics
PISSN	0022-2488
EISSN	1089-7658
関連情報	URI http://www.aip.org/
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1063/1.528304