On the Embedded Eigenvalues and Dense Point Spectrum of the Stark-Like Hamiltonians

1997 ◽  
Vol 183 (1) ◽  
pp. 185-200 ◽  
Author(s):  
Sergei N. Naboko ◽  
Alexander B. Pushnitski
Keyword(s):  
Point Spectrum ◽  
Dense Point ◽  
Embedded Eigenvalues

Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential

1996 ◽  
Vol 126 (5) ◽  
pp. 1087-1096 ◽  
Author(s):  
Karl Michael Schmidt
Keyword(s):  
Dirac Operator ◽  
Essential Spectrum ◽  
Electrostatic Potential ◽  
Simple Proof ◽  
Point Spectrum ◽  
Electrostatic Potentials ◽  
One Dimensional ◽  
Decay Behaviour ◽  
Dense Point ◽  
The One

For the one-dimensional Dirac operator, examples of electrostatic potentials with decay behaviour arbitrarily close to Coulomb decay are constructed for which the operator has a prescribed set of eigenvalues dense in the whole or part of its essential spectrum. A simple proof that the essential spectrum of one-dimensional Dirac operators with electrostatic potentials is never empty is given in the appendix.

On the stability of dense point spectrum for self‐adjoint operators

1986 ◽  
Vol 27 (1) ◽  
pp. 71-75 ◽  
Author(s):  
Lawrence E. Thomas ◽  
C. Eugene Wayne
Keyword(s):  
Point Spectrum ◽  
Dense Point ◽  
The Stability ◽  
Adjoint Operators

scholarly journals Perturbation of an eigenvalue from a dense point spectrum: an example

1997 ◽  
Vol 30 (20) ◽  
pp. 7167-7185 ◽  
Author(s):  
P Duclos ◽  
P Stovicek ◽  
M Vittot
Keyword(s):  
Point Spectrum ◽  
Dense Point
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