Speaker
Roman Zubov
(Saint Petersburg State University)
Description
We consider numerical solutions to ’t Hooft equation. We find that the spectrum of eigenvalues coincide with that of Airy differential equation. Physically it corresponds to one dimensional Schrödinger equation for a particle in a triangular potential well. We use Fourier transform of ’t Hooft eigenfunctions to get to the coordinate space. The squared eigenfunctions in this space turn out to be nothing else than the square of Airy function.
Author
Roman Zubov
(Saint Petersburg State University)
Co-author
Evgeni Prokhvatilov
(Saint Petersburg State University)