QUANTUM INVARIANCE GROUPS OF PARTICLE ALGEBRAS

2007 ◽  
pp. 13-16 ◽  
Author(s):  
M. Arik
Keyword(s):  
Invariance Groups

Invariance Groups in Classical and Quantum Mechanics

1973 ◽  
Vol 28 (3-4) ◽  
pp. 538-540 ◽  
Author(s):  
D. J. Simms
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Energy Levels ◽  
Classical Mechanics ◽  
Symmetry Groups ◽  
Casimir Invariants ◽  
Classical Phase Space ◽  
Invariance Groups ◽  
Classical And Quantum Mechanics

AbstractThis is a report on some new relations and analogies between classical mechanics and quantum mechanics which arise out of the work of Kostant and Souriau. Topics treated are i) the role of symmetry groups; ii) the notion of elementary system and the role of Casimir invariants; iii) energy levels; iv) quantisation in terms of geometric data on the classical phase space. Some applications are described.

On the new invariance groups of the dirac and Kemmer-Duffin-Petiau equations

1977 ◽  
Vol 19 (9) ◽  
pp. 347-352 ◽  
Author(s):  
V. I. Fushchich ◽  
A. G. Nikitin
Keyword(s):  
Invariance Groups
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