A New Topological Perspective on Quantization in Physics

Authors

Hooman Rahimizadeh, Loyola Marymount UniversityFollow
Stan Sholar
Michael Berg, Loyola Marymount UniversityFollow

Document Type

Article

Publication Date

2012

Abstract

We propose a new characterization of classical quantization in physics in terms of sheaf cohomology on the site of spacetime as a smooth 4-manifold. The perspective of sheaf cohomology is motivated by a presentation of the Aharonov-Bohm effect in terms of the integration of differential forms.

Digital Commons @ LMU & LLS Citation

Rahimizadeh, H., S. Sholar and M. Berg, 2012: A New Topological Perspective on Quantization in Physics. Communications in Mathematics and Applications., 3(2), 129-146.