S-Essential Spectra

2015 ◽  
pp. 309-326
Author(s):  
Aref Jeribi
Keyword(s):  
Essential Spectra

Essential Spectra of One-Dimensional Dirac Operators

2012 ◽  
Vol 74 (1) ◽  
pp. 7-24 ◽  
Author(s):  
Jiangang Qi ◽  
Shaozhu Chen
Keyword(s):  
Dirac Operators ◽  
Essential Spectra ◽  
One Dimensional

A characterization of some subsets of S-essential spectra of a multivalued linear operator

2014 ◽  
Vol 135 (2) ◽  
pp. 171-186 ◽  
Author(s):  
Teresa Álvarez ◽  
Aymen Ammar ◽  
Aref Jeribi
Keyword(s):  
Linear Operator ◽  
Essential Spectra ◽  
Multivalued Linear Operator

scholarly journals Dirichlet and Neumann eigenvalues for half-plane magnetic Hamiltonians

2014 ◽  
Vol 26 (02) ◽  
pp. 1450003 ◽  
Author(s):  
Vincent Bruneau ◽  
Pablo Miranda ◽  
Georgi Raikov
Keyword(s):  
Magnetic Field ◽  
Asymptotic Behavior ◽  
Half Plane ◽  
Compact Support ◽  
Constant Magnetic Field ◽  
Scalar Potential ◽  
Neumann Boundary ◽  
Essential Spectra ◽  
Neumann Eigenvalues ◽  
Effective Hamiltonians

Let H0,D (respectively, H0,N) be the Schrödinger operator in constant magnetic field on the half-plane with Dirichlet (respectively, Neumann) boundary conditions, and let Hℓ := H0,ℓ - V, ℓ = D, N, where the scalar potential V is non-negative, bounded, does not vanish identically, and decays at infinity. We compare the distribution of the eigenvalues of HD and HN below the respective infima of the essential spectra. To this end, we construct effective Hamiltonians which govern the asymptotic behavior of the discrete spectrum of Hℓ near inf σ ess (Hℓ) = inf σ(H0,ℓ), ℓ = D, N. Applying these Hamiltonians, we show that σ disc (HD) is infinite even if V has a compact support, while σ disc (HN) could be finite or infinite depending on the decay rate of V.

scholarly journals Quasi-compact operator, pseudo-essential spectra and some perturbation results

2017 ◽  
Vol 28 (3) ◽  
pp. 670-679 ◽  
Author(s):  
Salma Charfi ◽  
Sassia Rahali
Keyword(s):  
Compact Operator ◽  
Essential Spectra

Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices

2017 ◽  
Vol 98 (1-2) ◽  
pp. 458-482 ◽  
Author(s):  
Víctor Barrera-Figueroa ◽  
Vladimir S. Rabinovich ◽  
Miguel Maldonado Rosas
Keyword(s):  
Quantum Graphs ◽  
Essential Spectra
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