Time operator and quantum projection evolution

Journal Article · Thu Mar 15 00:00:00 EDT 2007 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S106377880703012X· OSTI ID:21075918

Gozdz, A

In this paper, we consider time as a dynamical variable. In particular, we present the explicit realization of the time operator within four-dimensional nonrelativistic spacetime. The approach assumes including events as a part of the evolution. The evolution is not driven by the physical time, but it is based on the causally related physical events. The usual Schroedinger unitary evolution can be easily derived as a special case of the three-dimensional projection onto the space of simultaneous events. Also the time-energy uncertainty relation makes clear and mathematically rigorous interpretation.

• OSTI ID: 21075918
• Journal Information: Physics of Atomic Nuclei, Vol. 70, Issue 3; Other Information: DOI: 10.1134/S106377880703012X; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
EVOLUTION
FOUR-DIMENSIONAL CALCULATIONS
MATHEMATICAL SPACE
SCHROEDINGER EQUATION
SPACE-TIME
THREE-DIMENSIONAL CALCULATIONS