A New Topological Perspective on Quantization in Physics

Hooman Rahimizadeh; Stan Sholar; Michael Berg

A New Topological Perspective on Quantization in Physics

Hooman Rahimizadeh, Stan Sholar, Michael Berg

Mathematics, Statistics and Data Science

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	129-146
Journal	Communications in Mathematics and Applications
Volume	3
Issue number	2
State	Published - 2012

Keywords

Quantization; de Rham cohomology; Sheaf cohomology

Disciplines

Physics

Access to Document

https://digitalcommons.lmu.edu/math_fac/48

Cite this

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title = "A New Topological Perspective on Quantization in Physics",

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.",

keywords = "Quantization; de Rham cohomology; Sheaf cohomology",

author = "Hooman Rahimizadeh and Stan Sholar and Michael Berg",

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AB - 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.

KW - Quantization; de Rham cohomology; Sheaf cohomology

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EP - 146

JO - Communications in Mathematics and Applications

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