An example of a quantum exponential process (Q1180712)
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scientific article; zbMATH DE number 29533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An example of a quantum exponential process |
scientific article; zbMATH DE number 29533 |
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An example of a quantum exponential process (English)
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27 June 1992
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In their classic paper [Commun. Math. Phys. 93, 301-323 (1984; Zbl 0546.60058)] \textit{R. L. Hudson} and \textit{K. R. Parthasarathy} showed that the Fock space based on the Heisenberg-Weyl algebra hosts Brownian motion and Poisson processes. In this paper it is shown how a quantum exponential process can be constructed on the Fock space based on the finite-difference algebra, defined by \textit{P. Feinsilver} [Monatsh. Math. 104, 89-108 (1987; Zbl 0627.39003)].
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Heisenberg-Weyl algebra
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quantum exponential process
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Fock space
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finite- difference algebra
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