Kleinov paradox

Klein ovšem postuloval tezi, že pokud by jeho rychlost byla dostatečně vysoká, ani libovolně silné stěny by elektronu v úniku nezabránily. Jinak řečeno, při hodně vysoké rychlosti by elektrony procházely stěnami, jako by tam žádné nebyly. Soudilo se, že tyto podmínky jsou možné jen např.

In nonrelativistic quantum mechanics, electron tunneling into a barrier is observe with exponential damping. Therefore there are no paradoxal values of the energy.

The new solution of the Dirac equation with a step potential is obtained. Not only reflection becomes total but the vacuum remains neutral as well. This is accomplished by replacing the pair production process with virtual negative energy incidence within . Its explanation in terms of electron–positron production is reassessed.

It is shown that a potential well or barrier in the Dirac equation can produce positron or electron emission spontaneously if the potential is strong enough. Street Gangs and Youth Groups in the U. Europe Malcolm Klein , Hans- Jürgen Kerner, Cheryl Maxson, E.

In addition, they report thatrisk seeking wasa . In graphene: The electronic structure of graphene …velocity. Thus, graphene provides a bridge between materials science and some areas of fundamental physics, . Regarding the question of how a fifth dimension could be accommodated in a universe apparently limited . The phenomenon is discussed in many contexts in particle, nuclear and astro-physics but direct tests of the Klein . Optimization of spatially localized electric fields for electron-positron pair creation S. Time- and space-resolved selective multipair creation. Magnonic analog of relativistic Zitterbewegung in an . Alex Hansen and Finn Ravndal. Institute of Physics, University of Oslo, Oslo Norway.

Particle penetration through a square potential barrier is studied with the Dirac equation and relativistic tunnelling occurs in an overcritical potential. However, the relativistic correction to mesoscopic conduction, the Landauer formula, is negligible . Underlying physics the same for Klein -Gordon equation, but paradox not so visible. Both the Klein -Gordon and the Dirac equation are no.

McKellar BH, Stephenson GJ Jr.

This paper studies the transport properties of charge carriers through graphene superlattices consisting of monolayer or bilayer graphene on the basis of the transfer-matrix method. Klein paradox and the Dirac-Kronig-Penney model.