On the generators of quantum dynamical semigroups

Communications in Mathematical Physics volume 48, pages119–130(1976)Cite this article

Abstract

The notion of a quantum dynamical semigroup is defined using the concept of a completely positive map. An explicit form of a bounded generator of such a semigroup onB(ℋ) is derived. This is a quantum analogue of the Lévy-Khinchin formula. As a result the general form of a large class of Markovian quantum-mechanical master equations is obtained.

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  1. Department of Theoretical Physics, Royal Institute of Technology, S-100 44, Stockholm 70, Sweden

    G. Lindblad

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  1. G. Lindblad
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Communicated by H. Araki

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Lindblad, G. On the generators of quantum dynamical semigroups. Commun.Math. Phys. 48, 119–130 (1976). https://doi.org/10.1007/BF01608499

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Keywords

  • Neural Network
  • Statistical Physic
  • Complex System
  • Nonlinear Dynamics
  • Explicit Form