On the embedded eigenvalue of relativistic Schrodinger operator

Itaru Sasaki
(Shinshu University)
Mat/Fys-seminar
Onsdag, 6 december, 2017, at 15:15-16:00, in Aud. D1 (1531-113)
Abstrakt:
The Schrodinger operator do not have positive eigenvalues if the potential 
decays fast. But slowly decaying potentials can make a positive 
eigenvalue. In 1929, von Neumann and Wigner constructed a concrete 
example for which a potential can make a positive energy eigenvalue.
Their constructed potential decays as sin(2x)/|x|.

   In this talk we construct von Neumann-Wigner type potentials for the 
massive relativistic Schrodinger operators for which an embedded 
eigenvalue exists. We also discuss the non-relativistic limit and show 
that our constructed potentials converge to the classical  Neumann-
Wigner's potential.
Kontaktperson: Jacob Schach Møller