TITLE:
Creation of Bielectron of Dirac Cone: The Tachyon Solution in Magnetic Field
AUTHORS:
Lyubov E. Lokot
KEYWORDS:
Bielectron, Dirac Cone, Tachyon, Magnetic Field, Graphene
JOURNAL NAME:
Journal of Materials Science and Chemical Engineering,
Vol.3 No.8,
August
20,
2015
ABSTRACT: Schrödinger equation for pair of two massless Dirac particles when magnetic field is applied in
Landau gauge is solved exactly. In this case, the separation of center of mass and relative motion is
obtained. Landau quantization ε = ±B/l for pair of two Majorana fermions coupled via a Coulomb
potential from massless chiral Dirac equation in cylindric coordinate is found. The root ambiguity
in energy spectrum leads into Landau quantization for bielectron, when the states in which
the one simultaneously exists are allowed. The tachyon solution with imaginary energy in Cooper
problem (ε 2