dorsal/arxiv
View SchemaAsymptotic channels and gauge transformations of the time-dependent Dirac equation for extremely relativistic heavy-ion collisions
| Authors | J. C. Wells, B. Segev, J. Eichler |
|---|---|
| Categories | |
| ArXiv ID | physics/9808046 |
| URL | https://arxiv.org/abs/physics/9808046 |
| DOI | 10.1103/PhysRevA.59.346 |
Abstract
We discuss the two-center, time-dependent Dirac equation describing the dynamics of an electron during a peripheral, relativistic heavy-ion collision at extreme energies. We derive a factored form, which is exact in the high-energy limit, for the asymptotic channel solutions of the Dirac equation, and elucidate their close connection with gauge transformations which transform the dynamics into a representation in which the interaction between the electron and a distant ion is of short range. We describe the implications of this relationship for solving the time-dependent Dirac equation for extremely relativistic collisions.
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"abstract": "We discuss the two-center, time-dependent Dirac equation describing the\ndynamics of an electron during a peripheral, relativistic heavy-ion collision\nat extreme energies. We derive a factored form, which is exact in the\nhigh-energy limit, for the asymptotic channel solutions of the Dirac equation,\nand elucidate their close connection with gauge transformations which transform\nthe dynamics into a representation in which the interaction between the\nelectron and a distant ion is of short range. We describe the implications of\nthis relationship for solving the time-dependent Dirac equation for extremely\nrelativistic collisions.",
"arxiv_id": "physics/9808046",
"authors": [
"J. C. Wells",
"B. Segev",
"J. Eichler"
],
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"physics.atom-ph",
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],
"doi": "10.1103/PhysRevA.59.346",
"title": "Asymptotic channels and gauge transformations of the time-dependent Dirac equation for extremely relativistic heavy-ion collisions",
"url": "https://arxiv.org/abs/physics/9808046"
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