LOCAL EXPONENTS AND INFINITESIMAL GENERATORS OF CANONICAL TRANSFORMATIONS ON BOSON FOCK SPACES

DOI10.1142/S0219025704001761zbMath1077.81062arXivmath-ph/0309044MaRDI QIDQ4652885

Keiichi Ito, Fumio Hiroshima

Publication date: 28 February 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0309044

zbMATH Keywords

symplectic groupswhite noise analysisprojective unitary representationsinfinite dimensional rotation grouplocal exponentsLinear canonical transformations (Bogoliubov transformations)normal-ordered quadratic expressions

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25)

Related Items (2)

Bogoliubov Hamiltonians and one-parameter groups of Bogoliubov transformations ⋮ Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives

Cites Work

• On fermionic gauge groups, current algebras and Kac-Moody algebras
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• On quasifree states of the canonical commutation relations. I
• On quasifree states of the canonical commutation relations. II
• On unitary ray representations of continuous groups
• Cocycles for boson and fermion Bogoliubov transformations
• The phase of the scattering matrix
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