Algebraic theory of product integrals in quantum stochastic calculus

DOI10.1063/1.533387zbMath0987.81045OpenAlexW2050805107MaRDI QIDQ2738092

Sylvia Pulmannová, Robin L. Hudson

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533387

zbMATH Keywords

quantum Yang-Baxter equationuniversal enveloping algebraFock spacefinite iterated additive stochastic integralsformal power series in \(h\)quantum Itô product formula

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum stochastic calculus (81S25) Stochastic integrals (60H05)

Related Items (1)

Double product integrals and Enriquez quantization of Lie bialgebras I: The quasitriangular identities

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae
• A survey of product-integration with a view toward application in survival analysis
• 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
• Exponential formulae in quantum stochastic calculus

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