Obstruction to quantization and Liouvillian "Quantization"

Authors

Anthony Villanueva ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We introduce the notion of a local time of arrival T^h_x' (q, p), which motivates a series expansion for an operator 𝒯 satisfying [ℋ,𝒯] = iħ, regardless of the obstruction to quantization. The corresponding operator 𝒯 for the harmonic and quartic oscillators are obtained and consequently shown to be the quantum time of arrival operator for each case.

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Issue

2007: Proceedings of the 25th Samahang Pisika ng Pilipinas Physics Congress

Physics: Key to understanding nature
Liknayan: Susi sa pagtuklas ng kalikasan
24-26 October 2007, University of the Philippines Los Baños, Laguna

Article ID

SPP-2007-PA-36

Section

Poster Session PA

Published

2007-10-24

How to Cite

[1]

A Villanueva and EA Galapon, Obstruction to quantization and Liouvillian "Quantization", Proceedings of the Samahang Pisika ng Pilipinas 25, SPP-2007-PA-36 (2007). URL: https://proceedings.spp-online.org/article/view/SPP-2007-PA-36.