Geometrization of quantum mechanics

By J. Cariñena, J. Clemente-Gallardo, G. Marmo. 2007

213 citations recorded by the source corpus.

We show that various descriptions of quantum mechanics can be represented in geometric terms. In particular, starting with the space of observables and using the momentum map associated with the unitary group, we give a unified geometric description of the different pictures of quantum mechanics. This construction is an alternative to the usual GNS construction for pure states.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a7fd2ba07620f567272076c2a3ffb16abfc69400

How researchers see this paper

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In Algebra and Number Theory

1. Ingemar Bengtsson
2. Karol Zyczkowski

In Applied Mathematics

1. Ingemar Bengtsson
2. Karol Zyczkowski

In Mathematical Physics

1. Ingemar Bengtsson
2. Karol Zyczkowski

Citations in the corpus

• Geometry of Quantum States: Index (2007, background): “6 It appears that this interesting point was first made by Strocchi (1966) [864], and independently by Kibble (1979) [525].”