Factorization of complex canonical transformations

DOI10.1063/1.532064zbMath0903.70014OpenAlexW1981293145MaRDI QIDQ4352190

B. Bruhn

Publication date: 11 January 1999

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

Full work available at URL: https://doi.org/10.1063/1.532064

zbMATH Keywords

entropyobservablePoisson bracketactionsLie seriesstate functionsLie operatorcomplex-valued generating functioncyclic group \(C(4)\)finite-dimensional complex phase space

Mathematics Subject Classification ID

Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

• The algebra of the classical Hamiltonian mechanics as the closure of two finite-dimensional algebras
• Generators for nonlinear canonical transformations
• Lie series and invariant functions for analytic symplectic maps
• Statistical origin of classical mechanics and quantum mechanics
• Quantization scheme based on the extension of phase space
• Entropy of ideal quantum gases as a Lie function
• Complex Coordinates and Quantum Mechanics
• Properties of Higher-Order Commutator Products and the Baker-Hausdorff Formula