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On the lindblad equation with unbounded time-dependent coefficients

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Abstract

We prove newa priori estimates for the resolvent of a minimal quantum dynamical semigroup. These estimates simplify well-known conditions sufficient for conservativity and impose continuity conditions on the time-dependent operator coefficients ensuring the existence of conservative solutions of the Markov evolution equations.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Moscow, USSR

    A. M. Chebotarev

  2. Depto. de Matemáticas, UAM-I, Av. Michoacán y la Purísima (México), México

    J. C. Garcia & R. B. Quezada

Authors
  1. A. M. Chebotarev
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  2. J. C. Garcia
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  3. R. B. Quezada
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Additional information

Translated fromMatematicheskie Zametki, Vol. 61, No. 1, pp. 125–140, January, 1997.

Translated by A. M. Chebotarev

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Chebotarev, A.M., Garcia, J.C. & Quezada, R.B. On the lindblad equation with unbounded time-dependent coefficients. Math Notes 61, 105–117 (1997). https://doi.org/10.1007/BF02355012

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  • DOI: https://doi.org/10.1007/BF02355012

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