dorsal/arxiv
View SchemaSpacetime path formalism: localized states
| Authors | Ed Seidewitz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509182 |
| URL | https://arxiv.org/abs/quant-ph/0509182 |
Abstract
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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"abstract": "This note is an addendum to quant-ph/0507115. In that paper, I present a\nformalism for relativistic quantum mechanics in which the spacetime paths of\nparticles are considered fundamental, reproducing the standard results of the\ntraditional formulation of relativistic quantum mechanics and quantum field\ntheory. Now, it is well known that there are issues with the ability to\nlocalize the position of particles in the usual formulation of relativistic\nquantum mechanics. The present note shows how, in the spacetime path formalism,\nthe natural representation of on-shell 3-momentum states is effectively a\nFoldy-Wouthuysen transformation of the traditional representation, addressing\nthe localization issues of position states and, further, providing a\nstraightforward non-relativistic limit.",
"arxiv_id": "quant-ph/0509182",
"authors": [
"Ed Seidewitz"
],
"categories": [
"quant-ph"
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"title": "Spacetime path formalism: localized states",
"url": "https://arxiv.org/abs/quant-ph/0509182"
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