Quantum Poisson processes and dilations of dynamical semigroups |
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| Authors: | Alberto Frigerio Hans Maassen |
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| Institution: | (1) Dipartimento di Matematica e Informatica, Universita di Udine, Via Zanon 6, I-33100 Udine, Italy;(2) Mathematisch Instituut, Katholieke Universiteit Nijmegen, Toernooiveld, NL-6525 ED Nijmegen, The Netherlands |
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| Abstract: | Summary The notion of a quantum Poisson process over a quantum measure space is introduced. This process is used to construct new quantum Markov processes on the matrix algebraM
n
with stationary faithful state  . If ( ,  ) is the quantum measure space in question ( a von Neumann algebra and a faithful normal weight), then the semigroupe
tL
of transition operators on (M
n
, ) has generator whereu is an arbitrary unitary element of the centraliser of (M
n
 , ).Supported by the Netherlands Organization for Scientific Research NWO |
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| Keywords: | |
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