Non-Conservative Minimal Quantum Dynamical Semigroups

Details Non-Conservative Minimal Quantum Dynamical Semigroups Non-Conservative Minimal Quantum Dynamical Semigroups

2001-12-17

arxiv.org/abs/math-ph/0112036v1

Physics

Mathematical Physics

22 pages

Scientific paper

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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