Time operator in quantum mechanics

Wang Zhi-Yong; Xiong Cai-Dong

doi:10.7498/aps.56.3070

Abstract
There have been great theoretical and practical interests in investigating time problem in quantum mechanics. Because time enters quantum mechanics as a parameter rather than a dynamical operator, people have to consider how to construct a time operator and calculate average time whenever they are faced with a time problem related to a physical process. In this paper we present a general investigation on time operator and average time.

Keywords:
time operator /

average time /

self-adjointness /

energy shift
Authors and contacts
Wang Zhi-Yong,

Xiong Cai-Dong

1.
电子科技大学物理电子学院，成都 610054
References

Cited By

[1]	Chen Ruo-Fan. Time-evolving matrix product operator method and its applications in open quantum system. Acta Physica Sinica, 2023, 72(12): 120201. doi: 10.7498/aps.72.20222267
[2]	Wang Yue-E, Wu Bao-Wei, Wang Rui. Asynchronous stabilization of switched systems: Adjacent mode-dependent average dwell time. Acta Physica Sinica, 2015, 64(5): 050201. doi: 10.7498/aps.64.050201
[3]	Li Bei, Jin Yan-Fei. The mean first-passage time for piecewise nonlinear system driven by colored correlated additive and multiplicative colored noises. Acta Physica Sinica, 2013, 62(15): 150503. doi: 10.7498/aps.62.150503
[4]	Wang Kang-Kang, Liu Xian-Bin, Yang Jian-Hua. The mean extinction time and stability for a metapopulation system driven by colored cross-correlated noises. Acta Physica Sinica, 2013, 62(10): 100502. doi: 10.7498/aps.62.100502
[5]	Liu Ya-Chun. A new method for monitoring the average residence time of atmospheric particulate matter. Acta Physica Sinica, 2013, 62(9): 092301. doi: 10.7498/aps.62.092301
[6]	Xing Chang-Ming, Liu Fang-Ai, Xu Ru-Zhi. Exact solution for mean trapping time of random walk on a scale-free Koch network. Acta Physica Sinica, 2012, 61(20): 200503. doi: 10.7498/aps.61.200503
[7]	Zhou Jun, Yuan Hao, Song Jun. The time evolution of relative density operator in phase diffusion channels. Acta Physica Sinica, 2012, 61(3): 030302. doi: 10.7498/aps.61.030302
[8]	He Cheng-Di, Xu Wei, Yue Xiao-Le. The mean first-passage time in a mono-stable system driven by uncorrelated noises. Acta Physica Sinica, 2010, 59(8): 5276-5280. doi: 10.7498/aps.59.5276
[9]	Yang Jian-Hua, Liu Xian-Bin. The mean first-passage time for a cancer development system driven by colored cross-correlated noises. Acta Physica Sinica, 2010, 59(6): 3727-3732. doi: 10.7498/aps.59.3727
[10]	Wang Bing, Yan Shao-Ping, Wu Xiu-Qing. Effects of cross correlated noises on the mean first-passage time of optical bistable system. Acta Physica Sinica, 2009, 58(8): 5191-5195. doi: 10.7498/aps.58.5191
[11]	Wang Bing, Wu Xiu-Qing, Shao Ji-Hong. The mean first-passage time for an asymmetric bistable system driven by two colored noises. Acta Physica Sinica, 2009, 58(3): 1391-1395. doi: 10.7498/aps.58.1391
[12]	Wang Can-Jun, Wei Qun, Zheng Bao-Bing, Mei Dong-Cheng. Transient properties of a tumor cell growth system driven by color Gaussian noises: Mean first-passage time. Acta Physica Sinica, 2008, 57(3): 1375-1380. doi: 10.7498/aps.57.1375
[13]	Zhang Na-Min, Xu Wei, Wang Chao-Qing. The mean first-passage time for an asymmetric bistable system driven by multiplicative colored and additive white noise with a correlated noise. Acta Physica Sinica, 2007, 56(9): 5083-5087. doi: 10.7498/aps.56.5083
[14]	Ning Li-Juan, Xu Wei, Yang Xiao-Li. The mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise with colored correlations. Acta Physica Sinica, 2007, 56(1): 25-29. doi: 10.7498/aps.56.25
[15]	Jin Yan-Fei, Xu Wei, Ma Shao-Juan, Li Wei. The mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise. Acta Physica Sinica, 2005, 54(8): 3480-3485. doi: 10.7498/aps.54.3480
[16]	Xia Heng-Chao, Zhan Yong-Qi. Classification of chaotic time series data based on the average length of close orbits. Acta Physica Sinica, 2004, 53(5): 1299-1304. doi: 10.7498/aps.53.1299
[17]	TAN WEI-HAN, LIU JUAN. PHASE OPERATOR AND PHASE STATES FOR FINITE ENERGY SYSTEM. Acta Physica Sinica, 1997, 46(12): 2348-2358. doi: 10.7498/aps.46.2348
[18]	LAI YUN-ZHONG, LIANG JIU-QING. TIME EVOLUTION OF A QUANTUM SYSTEM WITH HAMILTONIAN CONSISTING OF TIME-DEPENDENT LINEAR COMBINATION OF SU(l, 1)AND SU(2) GENERATORS AND THE HERMITIAN INVARIANT OPERATOR. Acta Physica Sinica, 1996, 45(5): 738-746. doi: 10.7498/aps.45.738
[19]	XIANG TIAN-XIANG, SUN SHENG, GONG SHUN-SHENG, WANG JIA-MIN. TIME RESOLVED STUDIES OF STATE TO STATE VIBRATIONAL ENERGY TRANSFER (Ⅰ)——SELF-COLLISION PROCESSES OF IDIONE MOLECULES. Acta Physica Sinica, 1990, 39(10): 1547-1554. doi: 10.7498/aps.39.1547
[20]	LIU AI-ZHUO, PEI FENG-KUI. PRODUCT OPERATOR FORMALISM FOR SPIN SYSTEMS WITH MAGNETIC EQUIVALENCE. Acta Physica Sinica, 1988, 37(7): 1072-1082. doi: 10.7498/aps.37.1072

Catalog

Vol. 56, Issue 6 - 2007-03-20

Metrics

Abstract views: 11640
PDF Downloads: 2220
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Time operator in quantum mechanics

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Time operator in quantum mechanics

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About