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Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. (English) Zbl 1077.81060

Author’s summary: We determine the structure of the *-endomorphisms of the RSWN algebra, induced by linear maps in the 1-particle Hilbert algebra, introduce the RSWN analogue of the free evolutions and find the explicit form of the KMS states associated with some of them.

MSC:

81S25 Quantum stochastic calculus
46N50 Applications of functional analysis in quantum physics
60H40 White noise theory
82B10 Quantum equilibrium statistical mechanics (general)
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References:

[1] DOI: 10.1007/s002200200647 · Zbl 1006.60064 · doi:10.1007/s002200200647
[2] DOI: 10.1007/978-3-0348-8641-3 · doi:10.1007/978-3-0348-8641-3
[3] Meyer P.-A., Lecture Notes in Math. 1538, in: Quantum Probability for Probabilitists (1995) · doi:10.1007/BFb0084701
[4] Connes A., Ann. Sci. Ecole Norm. Sup. 6 pp 133– · Zbl 0274.46050 · doi:10.24033/asens.1247
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