On Bohr-Sommerfeld-Heisenberg Quantization
Richard Cushman, Jedrzej Sniatycki
TL;DR
This paper develops a geometric quantization framework based on Bohr-Sommerfeld-Heisenberg principles for integrable Hamiltonian systems, providing theoretical insights and illustrative examples.
Contribution
It introduces a novel geometric quantization approach combining Bohr-Sommerfeld and Heisenberg methods for integrable systems.
Findings
Established a unified quantization scheme for integrable systems.
Provided explicit examples demonstrating the theory.
Enhanced understanding of geometric quantization techniques.
Abstract
This paper presents the theory of Bohr-Sommerfeld-Heisenberg quantization of a completely integrable Hamiltonian system in the context of geometric quantization. The theory is illustrated with several examples.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Advanced Topics in Algebra