Klein paradox for bosons, wave packets and negative tunnelling times

Autor: de la Cal, X. Gutiérrez, Alkhateeb, M., Pons, M., Matzkin, A., Sokolovski, D.
Rok vydání: 2021
Předmět:
Zdroj: Scientific Reports, 10:19225 (2020) Sci. Rep. (2020) 10:19225
Druh dokumentu: Working Paper
DOI: 10.1038/s41598-020-76065-7
Popis: We analyse a little known aspect of the Klein paradox. A Klein-Gordon boson appears to be able to cross a supercritical rectangular barrier without being reflected, while spending there a negative amount of time. The transmission mechanism is demonstrably acausal, yet an attempt to construct the corresponding causal solution of the Klein-Gordon equation fails. We relate the causal solution to a divergent multiple-reflections series, and show that the problem is remedied for a smooth barrier, where pair production at the energy equal to a half of the barrier's height is enhanced yet remains finite.
Databáze: arXiv