Quantization of an affinely-rigid body with constraints.

DOI10.1016/S0034-4877(03)80022-8zbMath1049.81039MaRDI QIDQ595936

Agnieszka Martens

Publication date: 6 August 2004

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

zbMATH Keywords

Weyl groupSommerfeld polynomial methoddilatations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Motion of a rigid body with a fixed point (70E17)

Related Items

Test rigid bodies in Riemannian spaces and their quantization, Classical dynamics of fullerenes, Affine symmetry in mechanics of collective and internal modes II: Quantum models, Affine symmetry in mechanics of collective and internal modes. I: Classical models

Cites Work

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• Geometric quantization and quantum mechanics
• Dynamics of holonomically constrained affinely-rigid body.
• The Mechanics of the Homogeneously‐Deformable Body. Dynamical Models with High Symmetries
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles