Asymptotic behaviour for a weakly damped schrödinger equation in dimension two
✍ Scribed by Mostafa Abounouh
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 468 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The spectrum of the two-dimensional Schrodinger equation for polynomial oscillators bounded by infinitely high potentials, where the eigenvalue problem is defined on a w . finite interval r g 0, L , is variationally studied. The wave function is expanded into a Fourier᎐Bessel series, and matrix elem
We study the unique bound state which (-d2/dx2) + hV and -A + XV (in two dimensions) have when A is small and V is suitable. Our main results give necessary and sufficient conditions for there to be a bound state when h is small and we prove analyticity (resp. nonanalyticity) of the energy eigenvalu