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Large Quantum mechanics in curved space and quantization of polynomial Hamiltonians

D. A. Kalinin
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Abstract

The quantization of a single particle without spin in an appropriate curved space-time is considered. The Hamilton formalism on reduced space for a particle in a curved space-time is constructed and the main aspects of quantization scheme are developed. These investigations are applied to quantization of the particle Hamiltonian in an appropriate curved space-time. As an example the energy eigenvalues in Einstein universe are calculated. In the last sections o the paper approximation for small values of momenta of the results previously obtained is considered as well as quantization of polynomial Hamiltonians of general type is discussed.

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D. A. Kalinin. 1997-08-11. Large Quantum mechanics in curved space and quantization of polynomial Hamiltonians. https://arxiv.org/abs/gr-qc/9708021

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