UNIQUENESS OF INTEGRANDS IN QUANTUM STOCHASTIC INTEGRAL

DOI10.1142/S0219025706002561zbMath1107.60319MaRDI QIDQ3421838

Un Cig Ji, Kalayan B. Sinha

Publication date: 8 February 2007

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

Fock spacegeneralized operatorquantum martingale

Mathematics Subject Classification ID

White noise theory (60H40) Quantum stochastic calculus (81S25) Distributions on infinite-dimensional spaces (46F25)

Related Items (2)

Annihilation-derivative, creation-derivative and representation of quantum martingales ⋮ Quantum stochastic integral representations of Fock space operators

Cites Work

• Quantum Ito's formula and stochastic evolutions
• A non-commutative martingale representation theorem for non-Fock quantum Brownian motion
• Fermion martingales
• Stochastic integral representation of bounded quantum martingales in Fock space
• An analytic characterization of symbols of operators on white noise functionals
• White noise calculus and Fock space
• An algebra of non-commutative bounded semimartingales: Square and angle quantum brackets
• Stochastic integral representation theorem for quantum semimartingales.
• Generalized quantum stochastic processes on Fock space
• QUANTUM STOCHASTIC ANALYSIS VIA WHITE NOISE OPERATORS IN WEIGHTED FOCK SPACE
• INTEGRAL REPRESENTATION OF QUANTUM MARTINGALES

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