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2011 Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mehanics on Lie Groups and Methods of Group Algebras
Jan J. Slawianowski, Vasyl Kovalchuk, Agnieszka Martens, Barbara Golubowska, Ewa E. Rozko
J. Geom. Symmetry Phys. 22: 67-94 (2011). DOI: 10.7546/jgsp-22-2011-67-94

Abstract

In Part I of this series we presented the general ideas of applying group-algebraic methods for describing quantum systems. The treatment was there very “ascetic” in that only the structure of a locally compact topological group was used. Below we explicitly make use of the Lie group structure. Basing on differential geometry enables one to introduce explicitly representation of important physical quantities and formulate the general ideas of quasiclassical representation and classical analogy.

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Jan J. Slawianowski. Vasyl Kovalchuk. Agnieszka Martens. Barbara Golubowska. Ewa E. Rozko. "Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mehanics on Lie Groups and Methods of Group Algebras." J. Geom. Symmetry Phys. 22 67 - 94, 2011. https://doi.org/10.7546/jgsp-22-2011-67-94

Information

Published: 2011
First available in Project Euclid: 25 May 2017

zbMATH: 1239.81048
MathSciNet: MR2827535
Digital Object Identifier: 10.7546/jgsp-22-2011-67-94

Rights: Copyright © 2011 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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