Topologies and Measurable Structures on the Projective Hilbert Space

Details Topologies and Measurable Structures on the Projective Hilbert Space Topologies and Measurable Structures on the Projective Hilbert Space

2007-08-09

arxiv.org/abs/0708.1208v1

Physics

Mathematical Physics

11 pages

Scientific paper

A systematic review of the various topologies that can be defined on the
projective Hilbert space P(H), i.e., on the set of the pure quantum states, is
presented. It is shown that P(H) carries a natural topology as well as a
natural measurable structure.

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