A New Topological Perspective on Quantization in Physics

Authors

  • Hooman Rahimizadeh Department of Mathematics, Loyola Marymount University, Los Angeles, CA 90045
  • Stan Sholar Department of Mathematics, Loyola Marymount University, Los Angeles, CA 90045
  • Michael Berg Department of Mathematics, Loyola Marymount University, Los Angeles, CA 90045

DOI:

https://doi.org/10.26713/cma.v3i2.151

Keywords:

Quantization, de Rham cohomology, Sheaf cohomology

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.
601 295

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Issue

Vol. 3 No. 2 (2012)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Rahimizadeh, H., Sholar, S., & Berg, M. (2012). A New Topological Perspective on Quantization in Physics. Communications in Mathematics and Applications, 3(2), 129-146. https://doi.org/10.26713/cma.v3i2.151