Physics – Quantum Physics
Scientific paper
2010-05-23
Prog. Theor. Phys. 126 (2011), 567-575
Physics
Quantum Physics
9 pages
Scientific paper
10.1143/PTP.126.567
The self adjoint operator of time in non-relativistic quantum mechanics is found within the approach where the ordinary Hamiltonian is not taken to be conjugate to time. The operator version of the reexpressed Liouville equation with the total Hamiltonian, consisting of the part that is a conventional function of coordinate and momentum and the part that is conjugate to time, is considered. The von Neumann equation with quantized time is found and discussed from the point of view of exact time measurement.
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