High order perturbation theory for Nonlinear Anderson Model |
| סוג | Non linear Physics |
| מרצה: | Gal Fleishon |
| שיוך: | Technion |
| תאריך: | 16.10.2013 |
| שעה: | 15:30 |
| מיקום: | Lidow Nathan Rosen (300) |
| הערה: | MSc Seminar. Supervisor Professor Shmuel Fishman |
| תקציר: | The perturbation expansion for the Nonlinear Shrödinger Equation with a random potential that was developed in earlier works by some of us is extended to higher orders. As the order is increased a solution that is valid for longer time can be found. In particular it is found that Anderson localization persists in the fifth and sixth orders for times when perturbation theory is valid. There are indications that for the sixth order perturbation theory may not be valid. |