The non-linear and quadratic quantization programs

DOI10.1007/978-3-031-06170-7_1OpenAlexW4312918061MaRDI QIDQ2106434

Andreas Boukas, Luigi Accardi, Yun Gang Lu, Alexander E. Teretenkov

Publication date: 14 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-06170-7_1

zbMATH Keywords

symplectic Lie algebranon-linear quantizationquadratic quantizationquantum decomposition of a classical random field

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Quantum theory (81-XX)

Related Items (1)

Fermions from classical probability and statistics defined by stochastic independence

Cites Work

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• The Weil representation, Maslov index and theta series
• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
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• ON THE QUADRATIC HEISENBERG GROUP
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Harmonic Analysis in Phase Space. (AM-122)
• Jacobi sequences of powers of random variables
• Irreversible quantum evolution with quadratic generator: Review
• Theory of Groups and Symmetries
• Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation
• Lie Groups, Lie Algebras, and Representations
• Fourier transform of random variables associated with the multi-dimensional Heisenberg Lie algebra
• Hamiltonian square roots of skew-Hamiltonian matrices revisited
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