W poniedziałek 22 maja o godzinie 11.00 w sali 3/8 w budynku 34 odbędzie się seminarium Katedry Zastosowań Matematyki, na którym dr hab. Maciej Janowicz wygłosi wykład pt. „Lie and non-Lie, exact and approximate, symmetries of Schroedinger equations in the second-quantization representation”.

Abstract

Symmetries of various types are one of the most import_ant tools in the analysis of properties and solutions of partial differential equations, including those relevant in theoretical physics. In the talk, some important classes of symmetries will be identified. The procedure of second quantization of physical systems will be described, and properties of the Schroedinger equations in the representation of second quantization will be elucidated. Finally, simple types of the Schroedinger equations which admit non-trivial symmetries will be identified and exact solutions will be found.