منابع مشابه
Klein Paradox in Bosons
We show analytically that the Zitterbewegung and Klein Paradox, such well known aspects of the Dirac Equation are not found in the case of Bosons. We use the Kemmer-Duffin-Harish Chandra formalism with β matrices to arrive at our results.
متن کاملHistory and Physics of The Klein Paradox
The early papers by Klein, Sauter and Hund which investigate scattering off a high step potential in the context of the Dirac equation are discussed to derive the ’paradox’ first obtained by Klein. The explanation of this effect in terms of electron-positron production is reassessed. It is shown that a potential well or barrier in the Dirac equation can become supercritical and emit positrons o...
متن کاملBosonic analog of the Klein paradox
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 fer...
متن کاملBarrier Paradox in the Klein Zone
We study the solutions for a one-dimensional electrostatic potential in the Dirac equation when the incoming wave packet exhibits the Klein paradox (pair production). With a barrier potential we demonstrate the existence of multiple reflections (and transmissions). The antiparticle solutions which are necessarily localized within the barrier region create new pairs with each reflection at the p...
متن کاملQuantum interference and Klein tunnelling in graphene heterojunctions
The observation of quantum conductance oscillations in mesoscopic systems has traditionally required the confinement of the carriers to a phase space of reduced dimensionality1–4. Although electron optics such as lensing5 and focusing6 have been demonstrated experimentally, building a collimated electron interferometer in two unconfined dimensions has remained a challenge owing to the difficult...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1999
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x99000312