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An example of a quantum exponential process

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Abstract

In [3],R. L. Hudson andK. R. Parthasarathy showed that the Fock space based on the Heisenberg—Weyl algebra hosts Brownian motion and Poisson processes. In this paper we construct a quantum exponential process acting on the Fock space based on the finite-difference algebra ofP. J. Feinsilver ([2]).

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References

  1. Boukas, A.: Quantum Stochastic Analysis: A Non-Brownian Case. Ph. D. dissertation. Southern Illinois University, U.S.A. (1988).

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  2. Feinsilver, P. J.: Discrete analogues of the Heisenberg—Weyl algebra. Mh. Math.104, 89–108 (1987).

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  3. Hudson, R. L., Parthasarathy, K. R.: Quantum Ito's formula and stochastic evolutions. Comm. Math. Physics93, 301–323 (1984).

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  4. Yosida, K.: Functional Analysis. Berlin-Heidelberg-New York: Springer. 1980.

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  1. Department of Mathematics, American College of Greece, 6, Gravias Str. Aghia Paraskevi, GR-15342, Athens, Greece

    Andreas Boukas

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  1. Andreas Boukas
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Boukas, A. An example of a quantum exponential process. Monatshefte für Mathematik 112, 209–215 (1991). https://doi.org/10.1007/BF01297339

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  • DOI: https://doi.org/10.1007/BF01297339

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