Asymptotic Spectral Measures, Quantum Mechanics, and E-theory
Operator Algebras
2009-11-07 v3 Mathematical Physics
K-Theory and Homology
math.MP
Quantum Algebra
Quantum Physics
Abstract
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.
Cite
@article{arxiv.math/0107091,
title = {Asymptotic Spectral Measures, Quantum Mechanics, and E-theory},
author = {Diane Martinez and Jody Trout},
journal= {arXiv preprint arXiv:math/0107091},
year = {2009}
}
Comments
For journal version, see http://link.springer.de/link/service/journals/00220/bibs/2226001/22260041.htm