Generalized Uncertainty Principle and Klein Paradox

Details Generalized Uncertainty Principle and Klein Paradox Generalized Uncertainty Principle and Klein Paradox

2012-02-09

arxiv.org/abs/1202.1962v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 8 pages, 4 figures

Scientific paper

We have studied the Klein paradox in presence of a new generalized uncertainty principle. We define a new momentum operator and derive the modified dispersion relation for a Dirac particle. Apart from the forbidden band within the range $+/- m$, m being the mass of the particle,we find the existence of additional forbidden bands which cause the allowed energy bands to be localised within finite energy range. This band structure forbids a Dirac particle from penetrating a potential barrier of sufficient height which is estimated to be of the order of Planck energy ($E_P$). This is also true for a massless particle. It reflects from the wall of a sufficiently high (~$E_P$) potential like a massive particle does in nonrelativistic quantum mechanics. We propose this to be a signature of the existence of a minimum length and a maximum energy.

Affiliated with

Also associated with

No associations

Rating

Generalized Uncertainty Principle and Klein Paradox does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Uncertainty Principle and Klein Paradox, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Uncertainty Principle and Klein Paradox will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156753