scholarly journals Periodic Dirac operator with dislocation

2021 ◽  
Vol 296 ◽  
pp. 369-411
Author(s):  
Evgeny Korotyaev ◽  
Dmitrii Mokeev
Keyword(s):  
Dirac Operator ◽  
Periodic Dirac Operator

On the spectrum of the periodic Dirac operator

1981 ◽  
Vol 89 (1-2) ◽  
pp. 55-62 ◽  
Author(s):  
B. J. Harris
Keyword(s):  
Dirac Operator ◽  
Spectral Gap ◽  
Dirac Operators ◽  
Finite Multiplicity ◽  
Infinite Multiplicity ◽  
Periodic Dirac Operator

SynopsisIn an earlier paper we considered periodic Dirac operators and obtained criteria for them to be self-adjoint and for their spectra to be devoid of eigenvalues of finite multiplicity. The question of the existence of eigenvalues of infinite multiplicity was left open. In this article we obtain further criteria for self-adjointness and show that under these conditions periodic Dirac operators do not possess eigenvalues of infinite multiplicity. We also obtain a spectral gap result.

scholarly journals Extended supersymmetries and the Dirac operator

2005 ◽  
Vol 315 (2) ◽  
pp. 467-487 ◽  
Author(s):  
A. Kirchberg ◽  
J.D. Länge ◽  
A. Wipf
Keyword(s):  
Dirac Operator
Sign in / Sign up

Export Citation Format

Share Document