A New Topological Perspective on Quantization in Physics

Hooman Rahimizadeh, Stan Sholar, Michael Berg

Research output: Contribution to journalArticlepeer-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 languageAmerican English
Pages (from-to)129-146
JournalCommunications in Mathematics and Applications
Volume3
Issue number2
StatePublished - 2012

Keywords

  • Quantization; de Rham cohomology; Sheaf cohomology

Disciplines

  • Physics

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