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A note on quantization of a free particle in the Zoll manifold

✍ Scribed by Ruishi Kuwabara

Publisher
Springer
Year
1985
Tongue
English
Weight
199 KB
Volume
9
Category
Article
ISSN
0377-9017

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✦ Synopsis

This note studies the spectrum of the quantum Hamiltonian operator corresponding to the classical Hamiltonian of a free particle in the Zoll manifold, and clarifies the effect of the zero-th order term defined from the curvature of the configuration space. It is shown that the zero-th order term R/6 (R: scalar curvature) has a special meaning in view of the energy spectrum.

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