Geometric quantization for the mechanics on spheres

DOI10.2748/tmj/1178229398zbMath0489.58014OpenAlexW2074174422MaRDI QIDQ1166812

Kiyotaka Ii

Publication date: 1981

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229398

zbMATH Keywords

polarizationgeometric quantizationphase space of the energy free particle of unit massunit sphere with the usual symplectic structure

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Applications of quantum theory to specific physical systems (81V99) Geometric quantization (53D50)

Related Items

Invariant Kähler structures on the cotangent bundles of compact symmetric spaces

Cites Work

• Lectures on geometric quantization
• On the multiplicities of the spectrum for quasi-classical mechanics on spheres
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Regularization of kepler's problem and the averaging method on a manifold
• Quantization and unitary representations
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles
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