Some exact results in quantum mechanics
Instituut voor Theoretische Fysica, Universiteit Utrecht
Mon, Oct. 09th 2006, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
I outline two main themes that will be discussed.
(1) I present some eigenfunctions for some quantum systems in a closed form. The classical systems corresponding to these systems are numerically found to be chaotic. The underlying reasoning is brought out by illustrating connections between some one-dimensional exactly solvable models involving many particles, and, billiards.
(2) Comment will also be made on exactly solvable models in quantum mechanics when parity and time-reversal symmetries are broken. For these systems, random matrix studies point at different form for level repulsion.