Comparison of a noncausal with a causal relativistic wave-packet evolution

Ageu N. de Castro and Arthur Jabs

Physica A: Statistical Mechanics and its Applications, 1991, vol. 178, issue 3, 577-586

Abstract: In order to study causality violation in more detail we contrast the Klein-Gordon wave packet of Rosenstein and Usher [Phys. Rev. D 36 (1987) 2381] with the Dirac wave packet of Bakke and Wergeland [Physica 69 (1973) 5]. Both packets are initially localized with exponentially bounded tails but just outside the condition of the general Hegerfeldt theorem for causality violation. It turns out that the wave packet of Bakke and Wergeland exhibits all the features investigated by Rosenstein and Usher, except that it never violates relativistic causality. Thus none of those features, in particular the back- and forerunners emerging from the light cone, can be held responsible for causality violation, and the Ruijsenaars integral is not necessarily a measure of the amount of causality violation.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:178:y:1991:i:3:p:577-586

DOI: 10.1016/0378-4371(91)90039-F

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