dorsal/arxiv
View SchemaThe Importance of Boundary Conditions in Quantum Mechanics
| Authors | R. de la Madrid |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302184 |
| URL | https://arxiv.org/abs/quant-ph/0302184 |
| DOI | 10.1007/3-540-44874-8_17 |
| Journal | Lect.Notes Phys. 622 (2003) 327-339 |
Abstract
We discuss the role of boundary conditions in determining the physical content of the solutions of the Schrodinger equation. We study the standing-wave, the ``in,'' the ``out,'' and the purely outgoing boundary conditions. As well, we rephrase Feynman's $+i \epsilon$ prescription as a time-asymmetric, causal boundary condition, and discuss the connection of Feynman's $+i \epsilon$ prescription with the arrow of time of Quantum Electrodynamics. A parallel of this arrow of time with that of Classical Electrodynamics is made. We conclude that in general, the time evolution of a closed quantum system has indeed an arrow of time built into the propagators.
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"abstract": "We discuss the role of boundary conditions in determining the physical\ncontent of the solutions of the Schrodinger equation. We study the\nstanding-wave, the ``in,\u0027\u0027 the ``out,\u0027\u0027 and the purely outgoing boundary\nconditions. As well, we rephrase Feynman\u0027s $+i \\epsilon$ prescription as a\ntime-asymmetric, causal boundary condition, and discuss the connection of\nFeynman\u0027s $+i \\epsilon$ prescription with the arrow of time of Quantum\nElectrodynamics. A parallel of this arrow of time with that of Classical\nElectrodynamics is made. We conclude that in general, the time evolution of a\nclosed quantum system has indeed an arrow of time built into the propagators.",
"arxiv_id": "quant-ph/0302184",
"authors": [
"R. de la Madrid"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1007/3-540-44874-8_17",
"journal_ref": "Lect.Notes Phys. 622 (2003) 327-339",
"title": "The Importance of Boundary Conditions in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0302184"
},
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