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

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タイトル: Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons
著者: Arai, Asao 著作を一覧する
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年 6月
出版者: American Institute of Physics
誌名: Journal of Mathematical Physics
巻: 30
号: 6
開始ページ: 1277
終了ページ: 1288
出版社 DOI: 10.1063/1.528304
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.
Rights: Copyright © 1989 American Institute of Physics
Relation (URI): http://www.aip.org/
資料タイプ: article
URI: http://hdl.handle.net/2115/13678
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 新井 朝雄

 

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