Geometric Aspects of the Quantization of a Rigid Body

DOI10.1007/978-3-642-00873-3_13zbMath1183.81091OpenAlexW292604173WikidataQ57555709 ScholiaQ57555709MaRDI QIDQ3401700

Marco Modugno, Carlos Prieto, Raffaele Vitolo

Publication date: 1 February 2010

Published in: Differential Equations - Geometry, Symmetries and Integrability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00873-3_13

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Motion of the gyroscope (70E05)

Related Items (2)

On the geometry of the energy operator in quantum mechanics ⋮ The geometry of real reducible polarizations in quantum mechanics

Cites Work

• Geometric quantization and quantum mechanics
• On the BKS pairing for Kähler quantizations of the cotangent bundle of a Lie group
• Symmetries in covariant classical mechanics
• Classification of infinitesimal symmetries in covariant classical mechanics
• Gradient vector fields on cosymplectic manifolds
• Covariant Schr dinger operator
• On the Groenewold–Van Hove problem for R2n
• A covariant approach to the quantization of a rigid body
• HERMITIAN VECTOR FIELDS AND SPECIAL PHASE FUNCTIONS
• Quantization and spectral geometry of a rigid body in a magnetic monopole field
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