Knowledge Management System of Institute of Theoretical Physics, CAS
Yakup, R; Dulat, S; Li, K; Hekim, M; Li, K (reprint author), Hangzhou Normal Univ, Dept Phys, Hangzhou 310036, Zhejiang, Peoples R China. | |
The Harmonic Oscillator Influenced by Gravitational Wave in Noncommutative Quantum Phase Space | |
Source Publication | INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
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Language | 英语 |
Keyword | Squeezed States Gauge-theory Mechanics Detector Interferometer Search Brane |
Abstract | Dynamical property of harmonic oscillator affected by linearized gravitational wave (LGW) is studied in a particular case of both position and momentum operators which are noncommutative to each other. By using the generalized Bopp's shift, we, at first, derived the Hamiltonian in the noncommutative phase space (NPS) and, then, calculated the time evolution of coordinate and momentum operators in the Heisenberg representation. Tiny vibration of flat Minkowski space and effect of NPS let the Hamiltonian of harmonic oscillator, moving in the plain, get new extra terms from it's original and noncommutative space partner. At the end, for simplicity, we take the general form of the LGW into gravitational plain wave, obtain the explicit expression of coordinate and momentum operators. |
2014 | |
ISSN | 0020-7748 |
Volume | 53Issue:4Pages:1404-1414 |
Subject Area | Physics |
DOI | 10.1007/s10773-013-1937-0 |
Indexed By | SCI |
Funding Organization | National Natural Science Foundation of China [11165014, 11175053] ; National Natural Science Foundation of China [11165014, 11175053] ; National Natural Science Foundation of China [11165014, 11175053] ; National Natural Science Foundation of China [11165014, 11175053] |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/15459 |
Collection | SCI期刊论文 |
Corresponding Author | Li, K (reprint author), Hangzhou Normal Univ, Dept Phys, Hangzhou 310036, Zhejiang, Peoples R China. |
Recommended Citation GB/T 7714 | Yakup, R,Dulat, S,Li, K,et al. The Harmonic Oscillator Influenced by Gravitational Wave in Noncommutative Quantum Phase Space[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,2014,53(4):1404-1414. |
APA | Yakup, R,Dulat, S,Li, K,Hekim, M,&Li, K .(2014).The Harmonic Oscillator Influenced by Gravitational Wave in Noncommutative Quantum Phase Space.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,53(4),1404-1414. |
MLA | Yakup, R,et al."The Harmonic Oscillator Influenced by Gravitational Wave in Noncommutative Quantum Phase Space".INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 53.4(2014):1404-1414. |
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