Foundations of Physics

, Volume 44, Issue 9, pp 953–959

A Complete Proof of the Confinement Limit of One-Dimensional Dirac Particles

Article

DOI: 10.1007/s10701-014-9821-1

Cite this article as:
Cheng, JY. Found Phys (2014) 44: 953. doi:10.1007/s10701-014-9821-1

Abstract

The validity of the confinement limit obtain by Unanyan et al. (Phys Rev A 79:044101, 2009) is extended by including non-symmetric vector and scalar potentials. It shows that the confinement limit of one-dimensional Dirac particles in vector and scalar potentials is \(\lambda _C/\sqrt{2}\), with \(\lambda _C\) being the Compton wavelength.

Keywords

Dirac equation Heisenberg uncertainty relation Confinement limit Compton wavelength 

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.School of Physics and Optoelectronic EngineeringGuangdong University of TechnologyGuangzhou China

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