Reduction and geometric samplings

A construction is created that makes it possible to geometrically quantize a reduced Hamiltonian system using the procedure of geometric quantization realized for a Hamiltonian system with symmetries (i.e., to find the discrete spectrum and the corresponding eigenfunctions, if these have been found...

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Bibliographic Details
Date:1992
Main Authors: Mikityuk , I. V., Prikarpatsky , A. K., Микитюк , І. В., Прикарпатський , А. К.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8172
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal