Quantum stochastic differential equations driven by free noises and dilations of Markovian semigroups

zbMath0803.60053MaRDI QIDQ1332505

Maria Elvira Mancino

Publication date: 3 January 1995

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1994__91__199_0

zbMATH Keywords

Markovian semigroupsgauge fieldsannihilationquantum stochastic calculusquantum stochastic differential equationsboson Fock spacecreationunitary cocyclesunitary dilationsfree noise fields

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25)

Cites Work

• A new example of `independence' and `white noise'
• Stochastic integration on the Cuntz algebra \({\mathcal O}_ \infty\)
• A representation free quantum stochastic calculus
• On the quantum Feynman-Kac formula
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