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Non-Conservative Minimal Quantum Dynamical Semigroups

Mathematical Physics 2007-05-23 v1 math.MP Probability

Abstract

We give necessary and sufficient conditions for non-conservativity of a class of minimal quantum dynamical semigroups (qds). We extend some well known criteria for conservativity of minimal qds and show interesting relations of the conservativity problem with the von Neumann theory of the defect indices of a symmetric closed operator.

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Cite

@article{arxiv.math-ph/0112036,
  title  = {Non-Conservative Minimal Quantum Dynamical Semigroups},
  author = {R. Quezada},
  journal= {arXiv preprint arXiv:math-ph/0112036},
  year   = {2007}
}

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22 pages