Time in relativistic and nonrelativistic quantum mechanics

Details Time in relativistic and nonrelativistic quantum mechanics Time in relativistic and nonrelativistic quantum mechanics

2008-11-12

arxiv.org/abs/0811.1905v2

Int. J. Quantum Inf. 7 (2009) 595-602

Physics

Quantum Physics

8 pages, slightly revised, new references, accepted for publication in Int. J. Quantum Inf

Scientific paper

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.

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