Quantization of Poisson brackets of some polynomials using different ordering rules

  • Ramon Jose Cavitana Bagunu Department of Physical Sciences and Mathematics, University of the Philippines Manila
  • Eric Alvarez Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

The Poisson bracket of some classical polynomials were quantized using different ordering rules. Obstructions to quantization were addressed by using the basis operators Tmn from Weyl ordering, Smn from the simplest symmetrization rule, and Bmn from Born-Jordan ordering. Different solutions were then obtained using the respective algebra of these operators.

Published
2019-05-23
How to Cite
[1]
R. J. Bagunu and E. Galapon. Quantization of Poisson brackets of some polynomials using different ordering rules, Proceedings of the Samahang Pisika ng Pilipinas 37, SPP-2019-2G-01 (2019). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2019-2G-01.
Section
Theoretical and Mathematical Physics