On the transient and recurrent parts of a quantum Markov semigroup

• Autorzy: Veronica Umanità
• Języki publikacji: EN

Abstrakty

EN

We define the transient and recurrent parts of a quantum Markov semigroup 𝓣 on a von Neumann algebra 𝓐 and we show that, when 𝓐 is σ-finite, we can write 𝓣 as the sum of such semigroups. Moreover, if 𝓣 is the countable direct sum of irreducible semigroups each with a unique faithful normal invariant state ρₙ, we find conditions under which any normal invariant state is a convex combination of ρₙ's.

Kategorie tematyczne

• 82C10: Quantum dynamics and nonequilibrium statistical mechanics (general)
• 46L55: Noncommutative dynamical systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 73
• Numer: 1
• Strony: 415-428

Daty

wydano

2006

Twórcy

autor

Veronica Umanità

• Dipartimento di Matematica "F. Brioschi", Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133, Milano, Italy

Identyfikatory

DOI

10.4064/bc73-0-33