METHOD OF FORMAL POWER SERIES IN QUANTUM STOCHASTIC CALCULUS

DOI10.1142/S0219025700000303zbMath0968.60101OpenAlexW1978630605MaRDI QIDQ4522397

Sylvia Pulmannová, K. R. Parthasarathy, Robin L. Hudson

Publication date: 2 September 2001

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

Full work available at URL: https://doi.org/10.1142/s0219025700000303

zbMATH Keywords

Hochschild cohomologystochastic differential equationspower seriesflowsquantum stochastic calculus

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25)

Related Items (2)

Infinite-dimensional Lie algebras, representations, Hermitian duality and the operators of stochastic calculus ⋮ Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Existence of quantum diffusions
• Bialgebra actions, twists, and universal deformation formulas
• Quantum methods in field theories with singular higher derivative Lagrangians
• A new form and a ⋆-algebraic structure of quantum stochastic integrals in Fock space
• Chaotic Expansion of Elements of the Universal Enveloping Algebra of a Lie Algebra Associated with a Quantum Stochastic Calculus
• Perturbations of Quantum Diffusions

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