Dirac operator on the sphere with attached wires**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), and the President Foundation of the Russian Federation (Grant No. MK-5001.2015.1).

E.n Grishanov ,D A Eremin ,Dmitry Ivanov ,I Yu Popov

doi:10.1088/1674-1056/25/4/047303

Dirac operator on the sphere with attached wires**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), and the President Foundation of the Russian Federation (Grant No. MK-5001.2015.1).

E.n Grishanov , D A Eremin + Show 2 more

https://doi.org/10.1088/1674-1056/25/4/047303

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Journal: Chinese Physics B	Publication Date: Feb 20, 2016
Citations: 5	License type: iop-standard

Affiliation: National Research Mordovia State University, ITMO University

#Fano Resonances #Resonant Character + Show 8 more

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Abstract

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.

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