Foundations of Physics

, Volume 44, Issue 9, pp 953–959 | Cite as

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

  • Jian-Yuan Cheng


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.


Dirac equation Heisenberg uncertainty relation Confinement limit Compton wavelength 


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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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