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Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons
| Title: | Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | quantum mechanics | | harmonic oscillators | | bosons | | interactions | | absolute zero temperature | | temperature dependence | | hilbert space | | fock representation | | hamiltonians | | functions |
| Issue Date: | Jun-1989 |
| Publisher: | American Institute of Physics |
| Journal Title: | Journal of Mathematical Physics |
| Volume: | 30 |
| Issue: | 6 |
| Start Page: | 1277 |
| End Page: | 1288 |
| Publisher DOI: | 10.1063/1.528304 |
| Abstract: | 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: | http://www.aip.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/13678 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 新井 朝雄
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