Probability in quantum mechanics

By using a fluid theory which is an alternative to quantum theory but from which the latter can be deduced exactly, the long-standing problem of how quantum mechanics is related to stochastic processes is studied. It can be seen how the Schrödinger probability density has a relationship to time spen...

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Main Author: J. G. Gilson
Format: Article
Language:English
Published: Wiley 1982-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171282000179
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author J. G. Gilson
author_facet J. G. Gilson
author_sort J. G. Gilson
collection DOAJ
description By using a fluid theory which is an alternative to quantum theory but from which the latter can be deduced exactly, the long-standing problem of how quantum mechanics is related to stochastic processes is studied. It can be seen how the Schrödinger probability density has a relationship to time spent on small sections of an orbit, just as the probability density has in some classical contexts.
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1687-0425
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publishDate 1982-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-1c84635fa74e43828370072413d080942025-08-20T02:01:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015118319410.1155/S0161171282000179Probability in quantum mechanicsJ. G. Gilson0Department of Applied Mathematics, Queen Mary College, London E1 4NS, UKBy using a fluid theory which is an alternative to quantum theory but from which the latter can be deduced exactly, the long-standing problem of how quantum mechanics is related to stochastic processes is studied. It can be seen how the Schrödinger probability density has a relationship to time spent on small sections of an orbit, just as the probability density has in some classical contexts.http://dx.doi.org/10.1155/S0161171282000179quantum theorySchrödinger equationprobability densityfluid theorystochastic process.
spellingShingle J. G. Gilson
Probability in quantum mechanics
International Journal of Mathematics and Mathematical Sciences
quantum theory
Schrödinger equation
probability density
fluid theory
stochastic process.
title Probability in quantum mechanics
title_full Probability in quantum mechanics
title_fullStr Probability in quantum mechanics
title_full_unstemmed Probability in quantum mechanics
title_short Probability in quantum mechanics
title_sort probability in quantum mechanics
topic quantum theory
Schrödinger equation
probability density
fluid theory
stochastic process.
url http://dx.doi.org/10.1155/S0161171282000179
work_keys_str_mv AT jggilson probabilityinquantummechanics