Algebras of distributions suitable for phase‐space quantum mechanics. II. Topologies on the Moyal algebra

1988 ◽  
Vol 29 (4) ◽  
pp. 880-887 ◽  
Author(s):  
Joseph C. Várilly ◽  
José M. Gracia‐Bondía
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Moyal Algebra

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.

Quantum mechanics in phase space II.

1977 ◽  
Vol 87 (1) ◽  
pp. 132-144 ◽  
Author(s):  
J.G. Krüger ◽  
A. Poffyn
Keyword(s):  
Quantum Mechanics ◽  
Phase Space
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