Instantaneous Spreading and Einstein Causality in Quantum Theory

Details Instantaneous Spreading and Einstein Causality in Quantum Theory Instantaneous Spreading and Einstein Causality in Quantum Theory

1998-09-11

arxiv.org/abs/quant-ph/9809030v1

Annalen Phys.7:716-725,1998

Physics

Quantum Physics

Talk given at the workshop Superluminal (?) Velocities, Cologne, June 6-10, 1998. To appear in Annalen der Physik

Scientific paper

10.1002/(SICI)1521-3889(199812)7

In nonrelativistic quantum mechanics the wave-function of a free particle which initially is in a finite volume immediately spreads to infinity. In a nonrelativistic theory this is of no concern, but we show that the same instantaneous spreading can occur in relativistic quantum theory and that transition probabilities in widely separated systems may instantaneously become nonzero. We discuss how this affects Einstein causality.

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