Confined quantum momentum time of arrival

Authors

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

Abstract

In this letter, we introduce for the first time the confined momentum time of arrival operator for the harmonic oscillator. We derive the classical momentum time of arrival, quantize it, and examine the symmetry satisfied by the kernel, eigenfunctions and eigenvalues. Using quadrature we evaluate the eigenvalue problem, and investigate the eigenfunctions as they evolve in time in coordinate space, and show that the variance of the associated probability densities are minimum in the neighborhood ofthe shifted momentum time of arrival eigenvalues.

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Published

2007-10-01

Issue

Vol. 1 No. 1: October 2007

Section

Brief Communications