dorsal/arxiv
View SchemaBohmian Mechanics with Discrete Operators
| Authors | R. A. Hyman, Shane A. Caldwell, Edward Dalton |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401008 |
| URL | https://arxiv.org/abs/quant-ph/0401008 |
Abstract
A deterministic Bohmian mechanics for operators with continuous and discrete spectra is presented. Randomness enters only through initial conditions. Operators with discrete spectra are incorporated into Bohmian mechanics by associating with each operator a continuous variable in which a finite range of the continuous variable correspond to the same discrete eigenvalue. In this way Bohmian mechanics can handle the creation and annihilation of particles. Examples are given and generalizations are discussed.
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"abstract": "A deterministic Bohmian mechanics for operators with continuous and discrete\nspectra is presented. Randomness enters only through initial conditions.\nOperators with discrete spectra are incorporated into Bohmian mechanics by\nassociating with each operator a continuous variable in which a finite range of\nthe continuous variable correspond to the same discrete eigenvalue. In this way\nBohmian mechanics can handle the creation and annihilation of particles.\nExamples are given and generalizations are discussed.",
"arxiv_id": "quant-ph/0401008",
"authors": [
"R. A. Hyman",
"Shane A. Caldwell",
"Edward Dalton"
],
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"title": "Bohmian Mechanics with Discrete Operators",
"url": "https://arxiv.org/abs/quant-ph/0401008"
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