Dirac operator on the sphere with attached wires

作者:Grishanov E N; Eremin D A; Ivanov D A; Popov I Yu*
来源:Chinese Physics B, 2016, 25(4): 339-342.
DOI:10.1088/1674-1056/25/4/047303

摘要

An explicitly solvable model for tunnelling of relativistic spinless particles through a sphere is suggested. The model operator is constructed by an operator extensions theory method from the orthogonal sum of the Dirac operators on a semiaxis and on the sphere. The transmission coefficient is obtained. The dependence of the transmission coefficient on the particle energy has a resonant character. One observes pairs of the Breit-Wigner and the Fano resonances. It correlates with the corresponding results for a non-relativistic particle.

  • 出版日期2016-4