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On a class of operators of the second quantization

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Abstract

Images of operators of quantum stochastic calculus are studied for a functional realization of the Fock space. We prove that the images of the second quantizations of non-self-adjoint operatorsA of a special form are infinite-dimensional differential operators of the same type as for self-adjointA.

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Authors and Affiliations

  1. Kiev University, Kiev

    A. B. Kaminskii & G. F. Us

Authors
  1. A. B. Kaminskii
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  2. G. F. Us
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 5, pp. 629–634, May, 1995.

This research was partially supported by the Ukrainian State Committee on Science and Technology.

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Kaminskii, A.B., Us, G.F. On a class of operators of the second quantization. Ukr Math J 47, 727–732 (1995). https://doi.org/10.1007/BF01059046

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  • DOI: https://doi.org/10.1007/BF01059046

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