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Eigenvalues and Eigenspaces of Quantum Dynamical Systems and Their Tensor Products

✍ Scribed by Andrzej Łuczak

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
248 KB
Volume
221
Category
Article
ISSN
0022-247X

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✦ Synopsis

The paper deals with spectral properties of abelian dynamical semigroups on von Neumann algebras. The notions of an eigenvalue and eigenspace for such semigroups are defined, generalizing those known for the classical case, and the existence of normal projections on the eigenspaces is proved. A more detailed study of properties of these projections is performed. Also spectral properties of tensor products of completely positive dynamical semigroups are investigated.

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