ULTRACOHERENCE AND CANONICAL TRANSFORMATIONS

DOI10.1142/S0219025706002469zbMath1099.70015arXivmath-ph/0410049MaRDI QIDQ5493870

J. Kupsch, Subhashish Banerjee

Publication date: 16 October 2006

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/0410049

zbMATH Keywords

symplectic groupbosonic Fock space

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Coherent states (81R30) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (1)

Canonical transformations for fermions in superanalysis

Cites Work

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• Asymptotic decoherence in infinite-dimensional quantum systems with quadratic Hamiltonians
• Ultracoherence in Bose algebras
• Tempered distributions in infinitely many dimensions. III: Linear transformations of field operators
• Remarks on boson commutation rules
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• Hilbert norms for graded algebras
• Applications of canonical transformations
• Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
• Bogolyubov transformations in Wiener-Segal-Fock space

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