KTH/SU Mathematics Colloquium

15 November 2006

Milos Tater, Institute of Physics, Prague

Quantum mechanics with non-selfadjoint Hamiltonians

ABSTRACT Studying Hamiltonians with simple polynomial potentials (Sturm-Liouville differential equation eigenvalue problem), manifestly non-selfadjoint we can reveal salient features that are important for discussion of their role in Quantum Mechanics. It turns out that a class of these operators has a good chance to be incorporated into QM and enlarge thus the mathematical framework of QM.