Journal of Geometry and Symmetry in Physics
- J. Geom. Symmetry Phys.
- Volume 22 (2011), 67-94.
Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mehanics on Lie Groups and Methods of Group Algebras
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.
J. Geom. Symmetry Phys., Volume 22 (2011), 67-94.
First available in Project Euclid: 25 May 2017
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Slawianowski, Jan J.; Kovalchuk, Vasyl; Martens, Agnieszka; Golubowska, Barbara; Rozko, Ewa E. Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mehanics on Lie Groups and Methods of Group Algebras. J. Geom. Symmetry Phys. 22 (2011), 67--94. doi:10.7546/jgsp-22-2011-67-94. https://projecteuclid.org/euclid.jgsp/1495677811