7–12 Sept 2014
St. Petersburg
Europe/Moscow timezone

Solutions to QCD ’t Hooft Equation in terms of Airy functions

9 Sept 2014, 18:50
1h 30m
Levinson Lounge

Levinson Lounge

Poster Poster Session Poster Session

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)

Presentation materials