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Dynamical time versus system's time in quantum mechanics |
| Duv san Arsenovića), Nikola Burića)†, Dragomir Davidovićb), and Slobodan Prvanovića) |
a Institute of Physics, University of Belgrade, P.O. Box 68, 11000 Belgrade, Serbia;
b Vinca Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia |
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Abstract 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's time operator, i.e., for the free one-dimensional particle, is obtained.
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Received: 12 September 2011
Revised: 21 March 2012
Accepted manuscript online:
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PACS:
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03.65.Ca
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(Formalism)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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03.65.Xp
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(Tunneling, traversal time, quantum Zeno dynamics)
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| Fund: Project supported by the Ministry of Science and Education of the Republic of Serbia (Grant Nos. 171017, 171028, and 171006). |
Corresponding Authors:
Nikola Burić
E-mail: buric@ipb.ac.rs
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Cite this article:
Duv san Arsenović, Nikola Burić, Dragomir Davidović, and Slobodan Prvanović Dynamical time versus system's time in quantum mechanics 2012 Chin. Phys. B 21 070302
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