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The cylindrical δ-potential and the Dirac equation

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Publication:3145888

DOI10.1088/1751-8113/45/46/465303zbMATH Open1258.81030arXiv1112.6402OpenAlexW2153114545MaRDI QIDQ3145888

Author name not available (Why is that?)

Publication date: 17 December 2012

Published in: (Search for Journal in Brave)

Abstract: In this article we discuss the Dirac equation in the presence of an attractive cylindrical delta-shell potential V( ho)=-adelta( ho- ho_0), where ho is the radial coordinate and a>0. We present a detailed discussion on the boundary conditions the wave function has to satisfy when crossing the support of the potential, proceeding then to explore the dependence of the ground state on the parameter a, analyzing the occurrence of supercritical effects. We also apply the Foldy-Wouthuysen transformation, discussing the non-relativistic limit of this problem.


Full work available at URL: https://arxiv.org/abs/1112.6402




Mathematics Subject Classification ID

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