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On quantum stochastic differential equations with unbounded coefficients
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  • Published: December 1990

On quantum stochastic differential equations with unbounded coefficients

  • Franco Fagnola1 

Probability Theory and Related Fields volume 86, pages 501–516 (1990)Cite this article

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Summary

We prove an existence, uniqueness and unitarity theorem for quantum stochastic differential equations with unbounded coefficients which satisfy an analyticity condition on a common dense invariant domain. This result, applied to the quantum harmonic oscillator, gives a rigorous meaning to a large class of stochastic differential equations that have been considered formally in quantum probability.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Trento, I-38050, Povo (TN), Italy

    Franco Fagnola

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  1. Franco Fagnola
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Fagnola, F. On quantum stochastic differential equations with unbounded coefficients. Probab. Th. Rel. Fields 86, 501–516 (1990). https://doi.org/10.1007/BF01198172

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  • Issue Date: December 1990

  • DOI: https://doi.org/10.1007/BF01198172

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Keywords

  • Differential Equation
  • Stochastic Process
  • Probability Theory
  • Large Class
  • Harmonic Oscillator
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