A comparison of the quantizations and supraquantization of the time of arrival for anharmonic oscillator potential

  • John Jaykel Ponte Magadan National Institute of Physics, University of the Philippines Diliman
  • Marc Arvie Talavera National Institute of Physics, University of the Philippines Diliman
  • Eric Alvarez Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

Time of arrival (TOA) operators for anharmonic oscillator potential are obtained using Weyl, simple-symmetric, Born-Jordan quantization and supraquantization. The quantized TOA operators are compared to determine which is closest to the supraquantized TOA operator. The Wigner transform of the simple symmetric and Born-Jordan quantized diverge while the Weyl-quantized and the supraquantized vanish as the initial point, q, approaches the arrival point, implying that Weyl out of the three is the quantization that gives a TOA operator closest to the supraquantized TOA operator.

Published
2019-05-23
How to Cite
[1]
J. J. Magadan, M. A. Talavera, and E. Galapon. A comparison of the quantizations and supraquantization of the time of arrival for anharmonic oscillator potential, Proceedings of the Samahang Pisika ng Pilipinas 37, SPP-2019-2G-02 (2019). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2019-2G-02.
Section
Theoretical and Mathematical Physics