XXXVIII Workshop on Geometric Methods in Physics | 30.06-6.07.2019 |
VIII School on Geometry and Physics | 24-28.06.2019 |
Home |
First Announcement
Second Announcement |
Travel and local information |
Participants of Workshop Participants of School |
Registration | Photos | Proceedings | Previous Workshops |
Oscar Rosas-OrtizParity-time symmetry in supersymmetric quantum mechanics: An interplay between Riccati, Ermakov and Schrodinger equationsNonlinear Riccati and Ermakov equations are combined to pair the energy spectrum of two different quantum systems via the supersymmetric approach. One of the systems is assumed Hermitian, exactly solvable, with discrete energies in its spectrum. The other system is characterized by a complex-valued potential that inherits all the energies of the former one and includes an additional real eigenvalue in its spectrum. The balanced gain and loss profile of such potential gives rise to (but it is not restricted to) parity-time symmetry in the supersymmetric quantum systems so constructed. |
Event sponsored by: | |||||
University of Bialystok |