Q-adapted quantum stochastic integrals and differentials in Fock scale

• Autorzy: Viacheslav Belavkin , Matthew Brown
• Języki publikacji: EN

Abstrakty

EN

In this paper we first introduce the Fock-Guichardet formalism for the quantum stochastic (QS) integration, then the four fundamental processes of the dynamics are introduced in the canonical basis as the operator-valued measures, on a space-time σ-field $𝔉_𝕏$, of the QS integration. Then rigorous analysis of the QS integrals is carried out, and continuity of the QS derivative D is proved. Finally, Q-adapted dynamics is discussed, including Bosonic (Q = I), Fermionic (Q = -I), and monotone (Q = O) quantum dynamics. These may be of particular interest to quantum field theory, quantum open systems, and quantum theory of stochastic processes.

Kategorie tematyczne

• 60G99: None of the above, but in this section
• 60H99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 96
• Numer: 1
• Strony: 51-66

Daty

wydano

2011

Twórcy

autor

Viacheslav Belavkin

• School of Mathematical Sciences, University Park, Nottingham, NG7 2RD, UK

autor

Matthew Brown

• School of Mathematical Sciences, University Park, Nottingham, NG7 2RD, UK

Identyfikatory

DOI

10.4064/bc96-0-3