|
Departamento de Gravitación y Teoría de CamposSeminarios 2010 |
|
Instituto de Ciencias Nucleares, UNAM |
Jueves 11 de Febrero, a las 17:30 hrs en el Auditorio Principal del ICN
Marcos Garcia (ICN)
Solvability of the H3 integrable model
The H3 integrable system is a non-relativistic quantum system defined in three-dimensional space. It is shown that this model is exactly solvable, the energies can be found explicitly and that any eigenfunction has a factorizable form: the ground state eigenfunction multiplied on a polynomial in some variables. The model possesses a hidden algebra which is an infinite dimensional Lie algebra having finite-dimensional irreducible representations. |