Spacetime path formalism: localized states

Details Spacetime path formalism: localized states Spacetime path formalism: localized states

2005-09-25

arxiv.org/abs/quant-ph/0509182v3

Physics

Quantum Physics

This paper has been withdrawn by the author. The content of this paper has been incorporated into v3 and later of arXiv:quant-

Scientific paper

This note is an addendum to quant-ph/0507115. In that paper, I present a formalism for relativistic quantum mechanics in which the spacetime paths of particles are considered fundamental, reproducing the standard results of the traditional formulation of relativistic quantum mechanics and quantum field theory. Now, it is well known that there are issues with the ability to localize the position of particles in the usual formulation of relativistic quantum mechanics. The present note shows how, in the spacetime path formalism, the natural representation of on-shell 3-momentum states is effectively a Foldy-Wouthuysen transformation of the traditional representation, addressing the localization issues of position states and, further, providing a straightforward non-relativistic limit.

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