Geometrization of Quantum Mechanics

Details Geometrization of Quantum Mechanics Geometrization of Quantum Mechanics

2007-01-19

arxiv.org/abs/math-ph/0701053v2

Theor.Math.Phys.152:894-903,2007

Physics

Mathematical Physics

16 pages. To appear in Theor. Math. Phys. Some typos corrected. Definition 2 in page 5 rewritten

Scientific paper

10.1007/s11232-007-0075-3

We show that it is possible to represent various descriptions of Quantum Mechanics in geometrical terms. In particular we start with the space of observables and use the momentum map associated with the unitary group to provide an unified geometrical description for the different pictures of Quantum Mechanics. This construction provides an alternative to the usual GNS construction for pure states.

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