Majorana fermion wavefunctions in carbon nanotubes and carbynes

Abstract

Electron properties of semiconducting zigzag carbon nanotubes (CNTs) can be described by two uncoupled Dirac equations of dimension (1+1) for the particle with nonzero mass. The solutions of these equations are two charge-neutral Majorana fields. An analogous equation is obtained for the carbon chains. We use the approach, wherein wavefunction of charged particle is represented as the production of a rapidly oscillating exponent and the slowly varying function amplitude depending on the longitudinal coordinate.

The Educational Role of the Qazaq Newspaper (1913 – 1918)

“…The Qazaq played a vital role in reviving the Kazakh national identity. It was the first sociopolitical print outlet, one of the deepest and strongest roots of contemporary Kazakh journalism (Sadykov & Serdali, 2017), written in the Kazakh language. Topics guided its mission to help the establishment of an autonomous and democratic state as 1) Kazakhs were the sole owners of the land, 2) the Kazakh state utilized all-natural renewable and non-renewable resources for the wellbeing of the Kazakh people, 3) the Kazakh production and service economy was an independent and self-sufficient, 4) promoting the Kazakh language and religion, and 5) reforming Kazakhstan's educational system (The Qazaq, 1916).…”

“…According to them, The Qazaq was the most significant vehicle to promote national liberation from Tsarist Russia's political oppression and economic dependence ideas. Sadykov and Serdali (2017) studied the development of the print press in the late 19 th and early 20 th centuries. Their findings show that the press in Kazakhstan during that period was under substantial censorship.…”

“…Another attempt to change the national mindset and self-definition was naming the Kazakh people as Kyrgyz-Kaisak or Kaisak. As a result of the Tsarist colonial policy, which continued till 1925, the Kazakhs' lifestyle, ethnic name, language, religion, and culture almost disappeared (Sadykov & Serdali, 2017). This colonial policy resulted in disturbances and uprisings, particularly among Kazakh elites.…”

Terahertz radiation generation process in the medium based on the array of the elongated nanoparticles

“…It is also discussed how generation of radiation by Cherenkov mechanism is possible [37]. In addition it is claimed that equations obtained for electrons in armchair graphene nanoribbons can be reduced to the Majorana equation [38].…”