We present a resolution of the Klein paradox within the framework of one-particle relativistic quantum mechanics. Not only reflection becomes total but the vacuum remains neutral as well. This is accomplished by replacing the physical pair production process with virtual negative energy ‘incidence’ within the barrier in a similar manner to what is done with virtual sources in optics and image charges in electrostatics.

arXiv:0907.5588Physica ScriptaJan 14, 201113 citations

Klein's Paradox and Its Resolution

Alex Hansen, F. Ravndal

Klein's paradox is resolved in simple diagrammatic terms arising from considerations of its analogue in classical relativistic mechanics. The same results are also obtained directly from standard operator methods of quantum field theory.

Physica ScriptaJun 1, 1981145 citations