Zitterbewegung and the Klein paradox for spin‐zero particles

1982 ◽  
Vol 50 (6) ◽  
pp. 545-549 ◽  
Author(s):  
Michael G. Fuda ◽  
Edward Furlani
Keyword(s):  
Klein Paradox

scholarly journals Antiparticle in the Light of Einstein-Podolsky-Rosen Paradox and Klein Paradox

2000 ◽  
Vol 17 (6) ◽  
pp. 393-395 ◽  
Author(s):  
Ni Guang-Jiong ◽  
Guan Hong ◽  
Zhou Wei-Min ◽  
Yan Jun
Keyword(s):  
Klein Paradox ◽  
Einstein Podolsky Rosen

A solvable two-body Dirac equation in one space dimension

1991 ◽  
Vol 69 (7) ◽  
pp. 780-785 ◽  
Author(s):  
F. Dominguez-Adame ◽  
B. Méndez
Keyword(s):  
Wave Function ◽  
Dirac Equation ◽  
Space Dimension ◽  
Translational Motion ◽  
Effective Frequency ◽  
Klein Paradox ◽  
Independent Components ◽  
Dirac Particles ◽  
One Space Dimension

A solvable Hamiltonian for two Dirac particles interacting by instantaneous linear potentials in (1 + 1) dimensions is discussed. The system presents no Klein paradox even if the coupling is rather strong, so particles remain bound. The four independent components of the wave function describing the system resemble the nonrelativistic oscillator eigenfunctions. Although the Hamiltonian is not fully covariant, the effective frequency of the oscillator obeys a typical relativistic Doppler law. In contrast to the nonrelativistic treatment, eigenstates are intrinsically coupled with the overall translational motion of the system.

Klein paradox in a kerr geometry

1975 ◽  
Vol 57 (3) ◽  
pp. 248-252 ◽  
Author(s):  
N. Deruelle ◽  
R. Ruffini
Keyword(s):  
Kerr Geometry ◽  
Klein Paradox

The Klein paradox as a many particle problem

1976 ◽  
Vol 101 (1) ◽  
pp. 289-318 ◽  
Author(s):  
P.J.M. Bongaarts ◽  
S.N.M. Ruijsenaars
Keyword(s):  
Klein Paradox

The Klein paradox and chiral tunnelling

Graphene ◽  
2012 ◽  
pp. 77-102 ◽  
Author(s):  
Mikhail I. Katsnelson
Keyword(s):  
Klein Paradox

scholarly journals Klein paradox for bosons, wave packets and negative tunnelling times

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
X. Gutiérrez de la Cal ◽  
M. Alkhateeb ◽  
M. Pons ◽  
A. Matzkin ◽  
D. Sokolovski
Keyword(s):  
Pair Production ◽  
Gordon Equation ◽  
Wave Packets ◽  
Transmission Mechanism ◽  
Multiple Reflections ◽  
Klein Paradox ◽  
Klein Gordon ◽  
Rectangular Barrier ◽  
Klein Gordon Equation

Abstract We analyse a little known aspect of the Klein paradox. A Klein–Gordon boson appears to be able to cross a supercritical rectangular barrier without being reflected, while spending there a negative amount of time. The transmission mechanism is demonstrably acausal, yet an attempt to construct the corresponding causal solution of the Klein–Gordon equation fails. We relate the causal solution to a divergent multiple-reflections series, and show that the problem is remedied for a smooth barrier, where pair production at the energy equal to a half of the barrier’s height is enhanced yet remains finite.

scholarly journals The Klein paradox: a new treatment

2015 ◽  
Vol 36 (5) ◽  
pp. 055015 ◽  
Author(s):  
E Truebenbacher
Keyword(s):  
Klein Paradox ◽  
New Treatment
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