Group-theoretical foundations of classical and quantum mechanics. I. Observables associated with Lie algebras

1977 ◽  
Vol 18 (8) ◽  
pp. 1577 ◽  
Author(s):  
L. Martinez Alonso
Keyword(s):  
Quantum Mechanics ◽  
Lie Algebras ◽  
Theoretical Foundations ◽  
Classical And Quantum Mechanics

scholarly journals Lie Algebra as a Unifying Concept in Modern Physics

1977 ◽  
Vol 20 (4) ◽  
pp. 429-441
Author(s):  
Edwin Ihrig
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Lie Groups ◽  
Lie Algebras ◽  
Quantum Physics ◽  
Essential Role ◽  
Holonomy Group ◽  
Classical Physics ◽  
Modern Physics ◽  
Classical And Quantum Mechanics

AbstractLie algebras, in the form of algebras of observables, play an essential role in the formulation of classical and quantum mechanics. We discuss whether lie groups play a similar role in general relativity through the holonomy group. We also explore what interrelations these ideas provide between classical physics, relativity and quantum physics.

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