- 03-404 Dariusz Chruscinski
- Quantum Mechanics of Damped Systems II. Damping and
Parabolic Potential Barrier.
Sep 5, 03
(auto. generated ps),
of related papers
Abstract. We investigate the resonant states for the parabolic potential
barrier known also as inverted or reversed oscillator. They
correspond to the poles of meromorphic continuation of the
resolvent operator to the complex energy plane. As a byproduct we
establish an interesting relation between parabolic cylinder
functions (representing energy eigenfunctions of our system) and a
class of Gel'fand distributions used in our recent paper.