Functional Techniques in Classical Mechanics

Details Functional Techniques in Classical Mechanics Functional Techniques in Classical Mechanics

2001-07-10

arxiv.org/abs/quant-ph/0107060v1

Nucl.Phys.Proc.Suppl. 104 (2001) 243

Physics

Quantum Physics

Contribution to the conference: "Quantum Gravity and Spectral Geometry", Naples, 1-8 july 2001

Scientific paper

10.1016/S0920-5632(01)01624-3

In 1931 Koopman and von Neumann extended previous work of Liouville and provided an operatorial version of Classical Mechanics (CM). In this talk we will review a path-integral formulation of this operatorial version of CM. In particular we will study the geometrical nature of the many auxiliary variables present and of the unexpected universal symmetries generated by the functional technique.

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