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 semi- axis 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.
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 semi- axis 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.
基金
Project partially financially supported by the Funds from the Government of the Russian Federation(Grant No.074-U01)
the Funds from the Ministry of Education and Science of the Russian Federation(GOSZADANIE 2014/190)(Grant Nos.14.Z50.31.0031 and 1.754.2014/K)
the President Foundation of the Russian Federation(Grant No.MK-5001.2015.1)
