dorsal/arxiv
View SchemaIs the concept of quantum probability consistent with Lorentz covariance?
| Authors | Y. S. Kim, Marilyn E. Noz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301155 |
| URL | https://arxiv.org/abs/quant-ph/0301155 |
Abstract
Lorentz-covariant harmonic oscillator wave functions are constructed from the Lorentz-invariant oscillator differential equation of Feynman, Kislinger, and Ravndal for a two-body bound state. The wave functions are not invariant but covariant. As the differential equation contains the time-separation variable, the wave functions contain the same time-separation variable which does not exist in Schr\"odinger wave functions. This time-separation variable can be shown to belong to Feynman's rest of the universe, and can thus be eliminated from the density matrix. The covariant probability interpretation is given. This oscillator formalism explains Feynman's decoherence mechanism which is exhibited in Feynman's parton picture.
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"abstract": "Lorentz-covariant harmonic oscillator wave functions are constructed from the\nLorentz-invariant oscillator differential equation of Feynman, Kislinger, and\nRavndal for a two-body bound state. The wave functions are not invariant but\ncovariant. As the differential equation contains the time-separation variable,\nthe wave functions contain the same time-separation variable which does not\nexist in Schr\\\"odinger wave functions. This time-separation variable can be\nshown to belong to Feynman\u0027s rest of the universe, and can thus be eliminated\nfrom the density matrix. The covariant probability interpretation is given.\nThis oscillator formalism explains Feynman\u0027s decoherence mechanism which is\nexhibited in Feynman\u0027s parton picture.",
"arxiv_id": "quant-ph/0301155",
"authors": [
"Y. S. Kim",
"Marilyn E. Noz"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-ph",
"hep-th",
"nucl-th"
],
"title": "Is the concept of quantum probability consistent with Lorentz covariance?",
"url": "https://arxiv.org/abs/quant-ph/0301155"
},
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