dorsal/arxiv
View SchemaOn Einstein Causality and Time Asymmetry in Quantum Physics
| Authors | S. Wickramasekara, A. Bohm |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302056 |
| URL | https://arxiv.org/abs/quant-ph/0302056 |
| DOI | 10.1088/0305-4470/35/47/105 |
| Journal | J. Phys. A: Math. Gen. 35 (2002) L715 |
Abstract
A theorem of Hegerfeldt shows that if the spectrum of the Hamiltonian is bounded from below, then the propagation speed of certain probabilities does not have an upper bound. We prove a theorem analogous to Hegerfeldt's that appertains to asymmetric time evolutions given by a semigroup of operators. As an application, we consider a characterization of relativistic quasistable states by irreducible representations of the causal Poincare semigroup and study the implications of the new theorem for this special case.
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"abstract": "A theorem of Hegerfeldt shows that if the spectrum of the Hamiltonian is\nbounded from below, then the propagation speed of certain probabilities does\nnot have an upper bound. We prove a theorem analogous to Hegerfeldt\u0027s that\nappertains to asymmetric time evolutions given by a semigroup of operators. As\nan application, we consider a characterization of relativistic quasistable\nstates by irreducible representations of the causal Poincare semigroup and\nstudy the implications of the new theorem for this special case.",
"arxiv_id": "quant-ph/0302056",
"authors": [
"S. Wickramasekara",
"A. Bohm"
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"quant-ph"
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"doi": "10.1088/0305-4470/35/47/105",
"journal_ref": "J. Phys. A: Math. Gen. 35 (2002) L715",
"title": "On Einstein Causality and Time Asymmetry in Quantum Physics",
"url": "https://arxiv.org/abs/quant-ph/0302056"
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