Representation of Lie superalgebras and generalized boson-fermion equivalence in quantum stochastic calculus

DOI10.1007/BF02885673zbMath0882.60097OpenAlexW1984946849MaRDI QIDQ1360567

Robin L. Hudson, Timothy M. W. Eyre

Publication date: 2 March 1998

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

Full work available at URL: https://doi.org/10.1007/bf02885673

zbMATH Keywords

quantum stochastic calculusstochastic integralboson-fermion equivalence schemecreation and annihilation fields

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25) Superalgebras (17A70) Stochastic analysis (60H99)

Cites Work

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• Tensor algebras over Hilbert spaces. II
• Quantum Ito's formula and stochastic evolutions
• Unification of Fermion and Boson stochastic calculus
• Existence of quantum diffusions
• The theory of Lie superalgebras. An introduction
• The Segal-Bargmann ``coherent state transform for compact Lie groups
• Casimir chaos in a boson Fock space
• On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms
• Chaotic Expansion of Elements of the Universal Enveloping Algebra of a Lie Algebra Associated with a Quantum Stochastic Calculus
• Chaos map for the universal enveloping algebra ofU(N)

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