Asymptotic Spectral Measures, Quantum Mechanics, and E-theory

Details Asymptotic Spectral Measures, Quantum Mechanics, and E-theory Asymptotic Spectral Measures, Quantum Mechanics, and E-theory

2001-07-12

arxiv.org/abs/math/0107091v3

Communications in Mathematical Physics, 226 (2002) 41-60

Mathematics

Operator Algebras

For journal version, see http://link.springer.de/link/service/journals/00220/bibs/2226001/22260041.htm

Scientific paper

10.1007/s002200200595

We study the relationship between POV-measures in quantum theory and asymptotic morphisms in the operator algebra E-theory of Connes-Higson. This is done by introducing the theory of "asymptotic" PV-measures and their integral correspondence with positive asymptotic morphisms on locally compact spaces. Examples and applications involving various aspects of quantum physics, including quantum noise models, semiclassical limits, strong deformation quantizations, and pure half-spin particles, are also discussed.

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