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

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	American 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

@article{04c2820da0344228a18ee141b8ee9025,

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",

note = "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.",

year = "2012",

language = "American English",

volume = "3",

pages = "129--146",

journal = "Communications in Mathematics and Applications",

number = "2",

}

TY - JOUR

T1 - A New Topological Perspective on Quantization in Physics

AU - Rahimizadeh, Hooman

AU - Sholar, Stan

AU - Berg, Michael

N1 - 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.

PY - 2012

Y1 - 2012

N2 - 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.

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

M3 - Article

VL - 3

SP - 129

EP - 146

JO - Communications in Mathematics and Applications

JF - Communications in Mathematics and Applications

IS - 2

ER -