Dynamical time versus system time in quantum mechanics  

Dynamical time versus system time in quantum mechanics

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作  者:Duan Arsenovi Nikola Buri Dragomir Davidovi Slobodan Prvanovi 

机构地区:[1]Institute of Physics, University of Belgrade [2]Vinca Institute of Nuclear Sciences

出  处:《Chinese Physics B》2012年第7期101-107,共7页中国物理B(英文版)

基  金:Project supported by the Ministry of Science and Education of the Republic of Serbia (Grant Nos. 171017, 171028, and 171006)

摘  要:Properties of an operator representing the dynamical time in the extended parameterization invariant formulation of quantum mechanics are studied. It is shown that this time operator is given by a positive operator measure analogously to the quantities that are known to represent various measurable time operators. The relation between the dynamical time of the extended formulation and the best known example of the system time operator, i.e., for the free one- dimensional particle, is obtained.Properties of an operator representing the dynamical time in the extended parameterization invariant formulation of quantum mechanics are studied. It is shown that this time operator is given by a positive operator measure analogously to the quantities that are known to represent various measurable time operators. The relation between the dynamical time of the extended formulation and the best known example of the system time operator, i.e., for the free one- dimensional particle, is obtained.

关 键 词:time operators extended state space positive operator valued measure 

分 类 号:O413.1[理学—理论物理] O175.1[理学—物理]

 

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