resolvent kernels
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scholarly journals Resonances in the two-center Coulomb systems

2016 ◽  
Vol 28 (07) ◽  
pp. 1650016 ◽  
Author(s):  
Marcello Seri ◽  
Andreas Knauf ◽  
Mirko Degli Esposti ◽  
Thierry Jecko
Keyword(s):  
Perturbation Theory ◽  
Numerical Methods ◽  
Schrödinger Operator ◽  
Coulomb Systems ◽  
Two Dimensions ◽  
Riemann Sheet ◽  
Schrodinger Operator ◽  
Complex Eigenvalues ◽  
Generalized Complex ◽  
Resolvent Kernels

We investigate the existence of resonances for two-center Coulomb systems with arbitrary charges in two dimensions, defining them in terms of generalized complex eigenvalues of a non-selfadjoint deformation of the two-center Schrödinger operator. We construct the resolvent kernels of the operators and prove that they can be extended analytically to the second Riemann sheet. The resonances are then analyzed by means of perturbation theory and numerical methods.

scholarly journals Overdetermined partial resolvent kernels for finite networks

2016 ◽  
Vol 435 (1) ◽  
pp. 96-111 ◽  
Author(s):  
C. Araúz ◽  
A. Carmona ◽  
A.M. Encinas
Keyword(s):  
Resolvent Kernels

Analyticity properties and estimates of resolvent kernels near thresholds

2000 ◽  
Vol 25 (9-10) ◽  
pp. 1753-1770 ◽  
Author(s):  
M Ben-Artzi ◽  
Y Dermenjian ◽  
J.C Guillot
Keyword(s):  
Resolvent Kernels
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