Eigenvalue asymptotics. 3D case

2019 ◽  
pp. 569-631
Author(s):  
Victor Ivrii
Keyword(s):  
Eigenvalue Asymptotics

Eigenvalue asymptotics for Dirac–Bessel operators

2016 ◽  
Vol 57 (6) ◽  
pp. 063507 ◽  
Author(s):  
Rostyslav O. Hryniv ◽  
Yaroslav V. Mykytyuk
Keyword(s):  
Eigenvalue Asymptotics ◽  
Bessel Operators

scholarly journals Dirac operators with Lorentz scalar shell interactions

2018 ◽  
Vol 30 (05) ◽  
pp. 1850013 ◽  
Author(s):  
Markus Holzmann ◽  
Thomas Ourmières-Bonafos ◽  
Konstantin Pankrashkin
Keyword(s):  
Dirac Operator ◽  
Spectral Properties ◽  
Smooth Surface ◽  
Three Dimensional ◽  
The Self ◽  
Eigenvalue Asymptotics ◽  
Yang Mills ◽  
Lorentz Scalar ◽  
Definition Of ◽  
The Individual

This paper deals with the massive three-dimensional Dirac operator coupled with a Lorentz scalar shell interaction supported on a compact smooth surface. The rigorous definition of the operator involves suitable transmission conditions along the surface. After showing the self-adjointness of the resulting operator, we switch to the investigation of its spectral properties, in particular, to the existence and non-existence of eigenvalues. In the case of an attractive coupling, we study the eigenvalue asymptotics as the mass becomes large and show that the behavior of the individual eigenvalues and their total number are governed by an effective Schrödinger operator on the boundary with an external Yang–Mills potential and a curvature-induced potential.

The Riemann Zeros and Eigenvalue Asymptotics

SIAM Review ◽  
1999 ◽  
Vol 41 (2) ◽  
pp. 236-266 ◽  
Author(s):  
M. V. Berry ◽  
J. P. Keating
Keyword(s):  
Eigenvalue Asymptotics

scholarly journals Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators

2008 ◽  
Vol 342 (1) ◽  
pp. 177-243 ◽  
Author(s):  
Mildred Hager ◽  
Johannes Sjöstrand
Keyword(s):  
Eigenvalue Asymptotics ◽  
Selfadjoint Operators
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