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1999•Journal of Physics A Mathematical and GeneralOpen access

Geometric quantization of the global Liouville mechanics

Zoltán Bajnok, Dániel Nógrádi, D. Varga, F. Wágner

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Abstract

The reduced SL (2, ) WZW quantum mechanics is analysed within the framework of geometric quantization. The spectrum of the Hamiltonian is determined, and it is found, that in contrast to previous approaches, there is a unique, physically preferred quantization of the system.

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What this paper is about

The reduced SL (2, ) WZW quantum mechanics is analysed within the framework of geometric quantization. The spectrum of the Hamiltonian is determined, and it is found, that in contrast to previous approaches, there is a unique, physically preferred quantization of the system.

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Available abstract

The reduced SL (2, ) WZW quantum mechanics is analysed within the framework of geometric quantization. The spectrum of the Hamiltonian is determined, and it is found, that in contrast to previous approaches, there is a unique, physically preferred quantization of the system.

Key concepts: Quantization (signal processing), Geometric quantization, Hamiltonian (control theory), First quantization, Canonical quantization, Classical mechanics, Physics, Second quantization

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