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Supersymmetry, polynomial Heisenberg algebras and Painlevé equations


por el

Dr. David Fernández

CINVESTAV, Instituto Politécnico Nacional

Resumen:
In this talk it will be discussed a technique to generate solutions to Painlevé IV and V equations by applying supersymmetric quantum mechanics to the harmonic and radial oscillators respectively. The key point is to find Schrödinger Hamiltonians having third and fourth-order differential ladder operators respectively. The solutions we are looking for turn out to be expressed in terms of the extremal states of the system, i.e., the eigenstates of the Hamiltonian which are also annihilated by the corresponding annihilation operator.

Miércoles 21 de mayo, 2014
18:00 hrs.
Salón 203, Edificio Anexo, IIMAS

Informes: coloquiomym@gmail.com, o al 5622-3564.