Bihamiltonian quantum systems and Weyl quantization.

DOI10.1016/S0034-4877(01)80074-4zbMath1040.81048WikidataQ127247392 ScholiaQ127247392MaRDI QIDQ696325

Franco Ventriglia, A. Simoni, Giuseppe Marmo

Publication date: 12 September 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantizationCCR representations

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (6)

ALTERNATIVE HAMILTONIAN DESCRIPTIONS AND STATISTICAL MECHANICS ⋮ ALTERNATIVE HAMILTONIAN DESCRIPTIONS FOR QUANTUM SYSTEMS AND NON-HERMITIAN OPERATORS WITH REAL SPECTRUM ⋮ ALTERNATIVE LINEAR STRUCTURES FOR CLASSICAL AND QUANTUM SYSTEMS ⋮ ALTERNATIVE ALGEBRAIC STRUCTURES FROM BI-HAMILTONIAN QUANTUM SYSTEMS ⋮ QUANTUM SYSTEMS AND ALTERNATIVE UNITARY DESCRIPTIONS ⋮ Remarks on alternative Hermitian structures for composite quantum systems

Cites Work

• The inverse problem in the calculus of variations and the geometry of the tangent bundle
• Canonical quantization
• ALTERNATIVE HAMILTONIAN DESCRIPTION FOR QUANTUM SYSTEMS
• A GENERALIZATION OF THE JORDAN-SCHWINGER MAP: THE CLASSICAL VERSION AND ITS q DEFORMATION
• Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
• Unnamed Item

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