Bosonic analog of the Klein paradox

Authors

R E. Wagner, Illinois State University
M R. Ware, Illinois State University
Q Su, Illinois St
Rainer Grobe, Illinois State University

Document Type

Article

Publication Date

2-2010

Keywords

DIRAC-EQUATION, WAVE-PACKET, VACUUM, MOTION, FIELDS, Optics, Physics

Abstract

The standard Klein paradox describes how an incoming electron scatters off a supercritical electrostatic barrier that is so strong that it can generate electron- positron pairs. This fermionic system has been widely discussed in textbooks to illustrate some of the discrepancies between quantum mechanical and quantum field theoretical descriptions for the pair creation process. We compare the fermionic dynamics with that of the corresponding bosonic system. We point out that the direct counterpart of the Pauli exclusion principle (the central mechanism to resolve the fermionic Klein paradox) is stimulated emission, which leads to the resolution of the analogous bosonic paradox.

Comments

Originally published in Physical Review A by the American Physical Society.

Recommended Citation

Wagner, R E.; Ware, M R.; Su, Q; and Grobe, Rainer, "Bosonic analog of the Klein paradox" (2010). Faculty publications – Physics. 22.
https://ir.library.illinoisstate.edu/fpphys/22