Showing papers by "Zoltan Bajnok published in 1999"
TL;DR: In this paper, the reduced SL(2)-WZW quantum mechanics were analyzed within the framework of geometric quantization and the spectrum of the Hamiltonian was determined, and it was found, that in contrast to previous approaches, there is a unique, physically preferred quantization of the system.
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.
3 citations
TL;DR: In this article, the reduced SL(2,R) WZW quantum mechanics is analyzed in the framework of geometric quantization and the spectrum of the Hamiltonian is determined, and it is found, contrary to the previous approaches, there is a unique, physically preferred quantisation of the system.
Abstract: The reduced SL(2,R) WZW quantum mechanics is analysed in the framework of geometric quantization. The spectrum of the Hamiltonian is determined, and it is found, that contrary to the previous approaches, there is a unique, physically preferred quantisation of the system.
2 citations
TL;DR: In this paper, it was shown that the commutation relations of W-algebras can be recovered from the singular vectors of their simplest nontrivial, completely degenerate highest weight representation.
Abstract: It is shown that the commutation relations of W-algebras can be recovered from the singular vectors of their simplest nontrivial, completely degenerate highest weight representation.
2 citations
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TL;DR: In this article, it was shown that the commutation relations of W-algebras can be recovered from the singular vectors of their simplest nontrivial, completely degenerate highest weight representation.
Abstract: It is shown that the commutation relations of W-algebras can be recovered from the singular vectors of their simplest nontrivial, completely degenerate highest weight representation.
1 citations