Quantum Mechanics of Damped Systems II. Damping and Parabolic Potential Barrier
Chruscinski, Dariusz
arXiv, 0307047 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-07-23
Classification:  Mathematical Physics,  Quantum Physics,  46E10,  46F05,  46N50,  47A10 
@article{0307047,
     author = {Chruscinski, Dariusz},
     title = {Quantum Mechanics of Damped Systems II. Damping and Parabolic Potential
  Barrier},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307047}
}

Chruscinski, Dariusz. Quantum Mechanics of Damped Systems II. Damping and Parabolic Potential
  Barrier. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307047/