English

Topologies and Measurable Structures on the Projective Hilbert Space

Mathematical Physics 2007-08-10 v1 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.0708.1208,
  title  = {Topologies and Measurable Structures on the Projective Hilbert Space},
  author = {Werner Stulpe},
  journal= {arXiv preprint arXiv:0708.1208},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-06-21T09:06:01.844Z