Stochastic integral representations of second quantization operators.

DOI10.1016/S0022-1236(03)00168-XzbMath1044.81077OpenAlexW2048213191MaRDI QIDQ1428455

Yan Pautrat

Publication date: 29 March 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(03)00168-x

zbMATH Keywords

second quantizationFock spacesquantum probabilityquantum stochastic integralsdifferential second quantization

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Stochastic integrals (60H05) Linear operators on function spaces (general) (47B38)

Cites Work

• Stochastic integral representation of bounded quantum martingales in Fock space
• Quantum probability for probabilists
• An algebra of non-commutative bounded semimartingales: Square and angle quantum brackets
• From Pauli matrices to quantum Itô formula
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