dorsal/arxiv
View SchemaThe origin of the algebra of quantum operators in the stochastic formulation of quantum mechanics
| Authors | Mark P. Davidson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112099 |
| URL | https://arxiv.org/abs/quant-ph/0112099 |
| Journal | Letters in Mathematical Physics Vol. 3, (1979) pp 367-376 |
Abstract
The origin of the algebra of the non-commuting operators of quantum mechanics is explained in the general Fenyes-Nelson stochastic models in which the diffusion constant is a free parameter. This is achieved by continuing the diffusion constant to imaginary values, a continuation which destroys the physical interpretation, but does not affect experimental predictions. This continuation leads to great mathematical simplification in the stochastic theory, and to an understanding of the entire mathematical formalism of quantum mechanics. It is more than a formal construction because the diffusion parameter is not an observable in these theories.
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"abstract": "The origin of the algebra of the non-commuting operators of quantum mechanics\nis explained in the general Fenyes-Nelson stochastic models in which the\ndiffusion constant is a free parameter. This is achieved by continuing the\ndiffusion constant to imaginary values, a continuation which destroys the\nphysical interpretation, but does not affect experimental predictions. This\ncontinuation leads to great mathematical simplification in the stochastic\ntheory, and to an understanding of the entire mathematical formalism of quantum\nmechanics. It is more than a formal construction because the diffusion\nparameter is not an observable in these theories.",
"arxiv_id": "quant-ph/0112099",
"authors": [
"Mark P. Davidson"
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"journal_ref": "Letters in Mathematical Physics Vol. 3, (1979) pp 367-376",
"title": "The origin of the algebra of quantum operators in the stochastic formulation of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0112099"
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