Boundary Conditions in Jackiw-Rebbi Model

Author: Ann Nikoleishvili
Keywords: Dirac equation, Jackiw-Rebbi model, BenDaniel-Duke Boundary Condition
Annotation:

By researching new materials, discussing characteristics of solutions of the low-dimensional Dirac equation has become a subject of great interest. In particular, research of polyacetylene is connected with soliton and Dirac fields interactions. This is the famous Jackiw-Rebbi problem. In this work we have discussed importance of boundary conditions of interactions of Dirac and kink fields. BenDaniel-Duke Boundary Condition is famous in Heterostructure Physics. It gives localized zero mode solution with Gordon decomposition of Dirac current.