Электронный каталог

Статья

Silenko, A.J.
Foldy-Wouthuysen Transformation and Structured States of a Graphene Electron in External Fields and Free (2+1)-space : [Abstract] / A.J.Silenko // Физика элементарных частиц и атомного ядра. Письма. – 2023. – Т.20, №5. – P.1283. – URL: http://www1.jinr.ru/Pepan_letters/panl_2023_5/31_Silenko_ann.pdf.

The relativistic Foldy–Wouthuysen transformation is used for an advanced description of a free and interacting planar graphene electron. The exact Foldy–Wouthuysen Hamiltonian of a graphene electron in a uniform and a nonuniform magnetic field is derived. The exact energy spectrum agreeing with experimental data and exact Foldy–Wouthuysen wave eigenfunctions are obtained. These eigenfunctions describe structured states in (2 + 1)-space. It is proven that the Hermite– Gauss beams exist even in the free space. In the structured Hermite–Gauss states, graphene electrons acquire nonzero effective masses dependent on a quantum number and move with group velocities which are less than the Fermi velocity.



ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 325.7 - Фуллерены (Сn). Атомные кластеры