The role of conjugacy in the dynamics of the CTOA operator

Authors

Joseph Raphael R. Bunao ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

This paper investigates the role of conjugacy between the Confined Time of Arrival (CTOA) operators and their Hamiltonians with respect to the dynamics of the CTOA eigenfunctions using the anharmonic oscillator as a test case. It is found that the role of conjugacy is to ensure sharper localization of the time evolved CTOA eigenfunction at its corresponding eigenvalue.

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Issue

2009: Proceedings of the 27th Samahang Pisika ng Pilipinas Physics Congress

Scouting the grand vista: From curiosity-driven research to real world application

28-30 October 2009, Development Academy of the Philippines Convention Center, Tagaytay City

Article ID

SPP-2009-PA-09

Section

Poster Session PA

Published

2009-10-28

How to Cite

[1]

JRR Bunao and EA Galapon, The role of conjugacy in the dynamics of the CTOA operator, Proceedings of the Samahang Pisika ng Pilipinas 27, SPP-2009-PA-09 (2009). URL: https://proceedings.spp-online.org/article/view/SPP-2009-PA-09.