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Title: Klein paradox with spin-resolved electrons and positrons

Abstract

Using numerical solutions to relativistic quantum field theory with space-time resolution, we illustrate how an incoming electron wave packet with a definite spin scatters off a supercritical potential step. We show that the production rate is reduced of only those electrons that have the same spin as the incoming electron is reduced. This spin-resolved result further clarifies the importance of the Pauli-exclusion principle for the Klein paradox.

Authors:
; ;  [1]
  1. Intense Laser Physics Theory Unit and Department of Physics, Illinois State University, Normal, Illinois 61790-4560 (United States)
Publication Date:
OSTI Identifier:
20786382
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.72.064103; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ELECTRONS; NUMERICAL SOLUTION; PAULI PRINCIPLE; POSITRONS; POTENTIALS; QUANTUM FIELD THEORY; RELATIVISTIC RANGE; RELATIVITY THEORY; SPACE-TIME; SPIN; WAVE PACKETS

Citation Formats

Krekora, P., Su, Q., and Grobe, R. Klein paradox with spin-resolved electrons and positrons. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Krekora, P., Su, Q., & Grobe, R. Klein paradox with spin-resolved electrons and positrons. United States. doi:10.1103/PHYSREVA.72.0.
Krekora, P., Su, Q., and Grobe, R. Thu . "Klein paradox with spin-resolved electrons and positrons". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786382,
title = {Klein paradox with spin-resolved electrons and positrons},
author = {Krekora, P. and Su, Q. and Grobe, R.},
abstractNote = {Using numerical solutions to relativistic quantum field theory with space-time resolution, we illustrate how an incoming electron wave packet with a definite spin scatters off a supercritical potential step. We show that the production rate is reduced of only those electrons that have the same spin as the incoming electron is reduced. This spin-resolved result further clarifies the importance of the Pauli-exclusion principle for the Klein paradox.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 6,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}
  • The behavior of a beam of spin-zero particles incident on a region of large potential increase is examined. The results arc compared with those obtained from similar computations employing thc Dirac equation. This comparison yields an instructive illustration of the difference between particles and antiparticles in spin zero and spin one-half single-particle theory. (auth)
  • Linear properties of high and low frequency waves are studied in an electron-positron-ion (e-p-i) dense plasma with spin and relativity effects. In a low frequency regime, the magnetohydrodynamic (MHD) waves, namely, the magnetoacoustic and Alfven waves are presented in a magnetized plasma, in which the inertial ions are taken as spinless and non-degenerate, whereas the electrons and positrons are treated quantum mechanically due to their smaller mass. Quantum corrections associated with the spin magnetization and density correlations for electrons and positrons are re-considered and a generalized dispersion relation for the low frequency MHD waves is derived to account for relativisticmore » degeneracy effects. On the basis of angles of propagation, the dispersion relations of different modes are discussed analytically in a degenerate relativistic plasma. Numerical results reveal that electron and positron relativistic degeneracy effects significantly modify the dispersive properties of MHD waves. Our present analysis should be useful for understanding the collective interactions in dense astrophysical compact objects, like, the white dwarfs and in atmosphere of neutron stars.« less