On the Generators of Quantum Dynamical Semigroups

Jan, 1975
34 pages
Published in:
  • Commun.Math.Phys. 48 (1976) 119
Report number:
  • TRITA-TFY-75-1

Citations per year

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Abstract: (Springer)
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.
  • QUANTUM MECHANICS
  • STATISTICAL MECHANICS
  • GROUP THEORY