Dirac operator on the sphere with attached wires  

作　　者：E N Grishanov D A Eremin D A Ivanov I Yu Popov 

机构地区：[1]Ogarev Mordovia State University Bolshevistskaya Str. 68, Saransk, Russia [2]ITMO University, Kroverkskiy pr. 49, St. Petersburg, 197101, Russia

出　　处：《Chinese Physics B》2016年第4期335-338,共4页中国物理B（英文版）

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)

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.

关 键 词：Dirac operator NANOSTRUCTURE TUNNELLING solvable model 

分 类 号：TB383.1[一般工业技术—材料科学与工程]