Absolute continuity of the spectrum of a periodic dirac operator

2000 ◽  
Vol 36 (2) ◽  
pp. 262-271 ◽  
Author(s):  
L. I. Danilov
Keyword(s):  
Dirac Operator ◽  
Absolute Continuity ◽  
Continuity Of The Spectrum ◽  
Periodic Dirac Operator

scholarly journals Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide

2020 ◽  
Vol 61 (1) ◽  
pp. 013503
Author(s):  
Ph. Briet ◽  
J. Dittrich ◽  
D. Krejčiřík
Keyword(s):  
Absolute Continuity ◽  
Continuity Of The Spectrum

scholarly journals Decay rates at infinity for solutions to periodic Schrödinger equations

2019 ◽  
Vol 150 (3) ◽  
pp. 1113-1126
Author(s):  
Daniel M. Elton
Keyword(s):  
Half Space ◽  
Absolute Continuity ◽  
Evolution Equations ◽  
Schrödinger Operators ◽  
Decay Rates ◽  
Schrodinger Equations ◽  
Schrodinger Operators ◽  
Schrödinger Equations ◽  
The Absolute ◽  
Continuity Of The Spectrum

AbstractWe consider the equation Δu = Vu in the half-space ${\open R}_ + ^d $, d ⩾ 2 where V has certain periodicity properties. In particular, we show that such equations cannot have non-trivial superexponentially decaying solutions. As an application this leads to a new proof for the absolute continuity of the spectrum of particular periodic Schrödinger operators. The equation Δu = Vu is studied as part of a broader class of elliptic evolution equations.

Sign in / Sign up

Export Citation Format

Share Document