A one-particle time of arrival operator for a free relativistic spin-0 charged particle in (1+1) dimensions
Issue Date
2-2015
Abstract
We construct a one-particle TOA operator T canonically conjugate with the Hamiltonian describing a free, charged, spin-0, relativistic particle in one spatial dimension and show that it is maximally symmetric. We solve for its eigenfunctions and show that they form a complete and non-orthogonal set. Plotting the time evolution of their corresponding probability densities, it implies that the eigenfunctions become more localized at the origin at the time equal to their eigenvalues. That is, a particle being described by an eigenfunction of T is in a state of definite arrival time at the origin and at the corresponding eigenvalue. We also calculate the TOA probability distribution of a particle in some initial state.
Source or Periodical Title
Annals of Physics
ISSN
0003-4916
Volume
353
Page
83-106
Document Type
Article
Physical Description
figs, graphs
Language
English
Subject
Klein-Gordon particle, Quantum arrival time, Spin-0
Recommended Citation
Bunao, J., Galapon, E.A. (2015). A one-particle time of arrival operator for a free relativistic spin-0 charged particle in (1+1) dimensions. Annals of Physics, 353, 83-106. https://doi.org/10.1016/j.aop.2014.11.003.
Identifier
https://doi.org/10.1016/j.aop.2014.11.003.
Digital Copy
yes