On the essential spectrum of Dirac operators with spherically symmetric potentials

1993 ◽  
Vol 297 (1) ◽  
pp. 117-131 ◽  
Author(s):  
Karl Michael Schmidt
Keyword(s):  
Essential Spectrum ◽  
Dirac Operators ◽  
Spherically Symmetric

On the essential spectrum of Schr�dinger operators with spherically symmetric potentials

1987 ◽  
Vol 277 (2) ◽  
pp. 197-208 ◽  
Author(s):  
Rainer Hempel ◽  
Andreas M. Hinz ◽  
Hubert Kalf
Keyword(s):  
Essential Spectrum ◽  
Spherically Symmetric

Essential Spectrum and Exponential Decay Estimates of Solutions of Elliptic Systems of Partial Differential Equations. Applications to Schrödinger and Dirac Operators

2008 ◽  
Vol 15 (2) ◽  
pp. 333-351
Author(s):  
Vladimir S. Rabinovich ◽  
Steffen Roch
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Essential Spectrum ◽  
Exponential Decay ◽  
Elliptic Systems ◽  
Dirac Operators ◽  
Decay Estimates ◽  
Partial Differential ◽  
Limit Operators ◽  
Estimates Of Solutions

Abstract The main aim of the paper is to study relations between the location of the essential spectrum and exponential decay estimates of the eigenfunctions of systems of elliptic partial differential equations. To solve this problem, we apply the limit operators method. Applications are given to the problem of exponential decay behavior of eigenfunctions of Schrödinger and Dirac operators.

Some essentially self-adjoint Dirac operators with spherically symmetric potentials

1973 ◽  
Vol 14 (1) ◽  
pp. 63-75 ◽  
Author(s):  
K. E. Gustafson ◽  
P. A. Rejto
Keyword(s):  
Dirac Operators ◽  
Spherically Symmetric
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