scholarly journals Bending and flexural phonon scattering: Generalized Dirac equation for an electron moving in curved graphene

2012 ◽  
Vol 407 (12) ◽  
pp. 2002-2008 ◽  
Author(s):  
Richard Kerner ◽  
Gerardo G. Naumis ◽  
Wilfrido A. Gómez-Arias
Keyword(s):  
Dirac Equation ◽  
Phonon Scattering ◽  
Generalized Dirac Equation

scholarly journals Nonstandard Dirac equations for nonstandard spinors

2014 ◽  
Vol 23 (14) ◽  
pp. 1444007 ◽  
Author(s):  
A. G. Nikitin
Keyword(s):  
Dirac Equation ◽  
Mass Term ◽  
Charge Conjugation ◽  
Poincaré Group ◽  
Poincare Group ◽  
Dirac Equations ◽  
Generalized Dirac Equation ◽  
Carrier Space ◽  
New Look

Generalized Dirac equation with operator mass term is presented. Its solutions are nonstandard spinors (NSS) which, like eigenspinoren des Ladungskonjugationsoperators (ELKO), are eigenvectors of the charge conjugation and dual-helicity operators. It is demonstrated that in spite of their noncovariant nature the NSS can serve as a carrier space of a representation of Poincaré group. However, the corresponding boost generators are not manifestly covariant and generate nonlocal momentum dependent transformations, which are presented explicitly. These results can present a new look on group-theoretical grounds of ELKO theories.

scholarly journals Darboux transformations for a generalized Dirac equation in two dimensions

2010 ◽  
Vol 51 (11) ◽  
pp. 113501 ◽  
Author(s):  
Ekaterina Pozdeeva ◽  
Axel Schulze-Halberg
Keyword(s):  
Dirac Equation ◽  
Two Dimensions ◽  
Darboux Transformations ◽  
Generalized Dirac Equation

Generalized Dirac equation and its symmetries

2007 ◽  
Vol 32 (2) ◽  
pp. 302-311 ◽  
Author(s):  
Kourosh Nozari
Keyword(s):  
Dirac Equation ◽  
Generalized Dirac Equation

Green's function of a generalized Dirac equation for constant fields

1980 ◽  
Vol 23 (11) ◽  
pp. 973-976
Author(s):  
P. M. Lavrov ◽  
G. I. Flesher
Keyword(s):  
Dirac Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Generalized Dirac Equation

scholarly journals Higher derivative fermionic field equation in the first-orderformalism

2007 ◽  
Vol 85 (8) ◽  
pp. 887-897 ◽  
Author(s):  
S I Kruglov
Keyword(s):  
Dirac Equation ◽  
Spin Projection ◽  
Electromagnetic Current ◽  
Pure Spin ◽  
Projection Operators ◽  
Third Order ◽  
First Order ◽  
Generalized Dirac Equation ◽  
Electromagnetic Interactions ◽  
Higher Derivative

The generalized Dirac equation of the third order, describing particles with spin 1/2 and three mass states, is analyzed. We obtain the first-order generalized Dirac equation in the 24-dimensional matrix form. The mass and spin projection operators are found that extract solutions of the wave equation corresponding to pure spin states of particles. The density of the electromagnetic current is obtained, and minimal and nonminimal(anomalous) electromagnetic interactions of fermions are considered by introducing three phenomenological parameters. The Hamiltonian form of the first-order equation is obtained.PACS Nos.: 03.65.Pm, 11.10.Ef; 12.10.Kt

Energy levels of the hydrogen atom due to a generalized Dirac equation

1993 ◽  
Vol 23 (7) ◽  
pp. 1025-1048
Author(s):  
Ulrich Bleyer
Keyword(s):  
Hydrogen Atom ◽  
Dirac Equation ◽  
Energy Levels ◽  
Generalized Dirac Equation
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