Time in relativistic and nonrelativistic quantum mechanics
Quantum Physics
2014-11-18 v2 High Energy Physics - Theory
Abstract
The kinematic time operator can be naturally defined in relativistic and nonrelativistic quantum mechanics (QM) by treating time on an equal footing with space. The spacetime-position operator acts in the Hilbert space of functions of space and time. Dynamics, however, makes eigenstates of the time operator unphysical. This poses a problem for the standard interpretation of QM and reinforces the role of alternative interpretations such as the Bohmian one. The Bohmian interpretation, despite of being nonlocal in accordance with the Bell theorem, is shown to be relativistic covariant.
Cite
@article{arxiv.0811.1905,
title = {Time in relativistic and nonrelativistic quantum mechanics},
author = {H. Nikolic},
journal= {arXiv preprint arXiv:0811.1905},
year = {2014}
}
Comments
8 pages, slightly revised, new references, accepted for publication in Int. J. Quantum Inf