dorsal/arxiv
View SchemaRelativistic free-motion time-of-arrival
| Authors | Zhi-Yong Wang, Cai-Dong Xiong |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701116 |
| URL | https://arxiv.org/abs/quant-ph/0701116 |
| DOI | 10.1088/1751-8113/40/8/014 |
| Journal | J.Phys.A40:1897-1905,2007 |
Abstract
Relativistic free-motion time-of-arrival theory for massive spin-1/2 particles is systematically developed. Contrary to the nonrelativistic time-of-arrival operator studied thoroughly in previous literatures, the relativistic time-of-arrival operator possesses self-adjoint extensions because of the particle-antiparticle symmetry. The nonrelativistic limit of our theory is in agreement with the nonrelativistic time-of-arrival theory. By comparing the time-of-arrival operator with the Hamiltonian operator of a free Dirac particle, one can show a duality between position space and momentum space.
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"abstract": "Relativistic free-motion time-of-arrival theory for massive spin-1/2\nparticles is systematically developed. Contrary to the nonrelativistic\ntime-of-arrival operator studied thoroughly in previous literatures, the\nrelativistic time-of-arrival operator possesses self-adjoint extensions because\nof the particle-antiparticle symmetry. The nonrelativistic limit of our theory\nis in agreement with the nonrelativistic time-of-arrival theory. By comparing\nthe time-of-arrival operator with the Hamiltonian operator of a free Dirac\nparticle, one can show a duality between position space and momentum space.",
"arxiv_id": "quant-ph/0701116",
"authors": [
"Zhi-Yong Wang",
"Cai-Dong Xiong"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/8/014",
"journal_ref": "J.Phys.A40:1897-1905,2007",
"title": "Relativistic free-motion time-of-arrival",
"url": "https://arxiv.org/abs/quant-ph/0701116"
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