New computational methodologies in time dependent quantum mechanics
Kierownik projektu: Juan Carlos Del Valle Rosales
Data otwarcia: 2022-11-10
During the lifetime of the project, we will be interested in PDEs describing the evolution of the hydrogen atom subjected to a time dependent electric field and in Dirac equations.
A hydrogen atom immersed in a time dependent electric field brings numerical difficulties thanks to a singularity at origin of coordinates and posible effects of resonances. On the other hand, Dirac equations are chalenging (numerically) because the Pauli matrices give a richer structure to the PDEs involved when magnetic and electric potential are considered.
The main goal of this project is to introduce new numerical methodologies specified for the equations of interest.