Spacetime path formalism: localized states
msra(2005)
摘要
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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关键词
relativistic quantum mechanics,quantum field theory,quantum physics
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