Large Quantum mechanics in curved space and quantization of polynomial Hamiltonians

Details Large Quantum mechanics in curved space and quantization of polynomial Hamiltonians Large Quantum mechanics in curved space and quantization of polynomial Hamiltonians

1997-08-11

arxiv.org/abs/gr-qc/9708021v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, LaTeX

Scientific paper

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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