Eigenvalues asymptotics for Stark operators
We give the eigenvalues asymptotics for the Stark operator of the form $\displaystyle-\Delta+Fx$, $F>0$ on $\displaystyle\mathrm{L}^2([0,d])$. This is given in the case when $F$ is small enough or sufficiently large. We impose various boundary conditions. The proof is based on the asymptotics o...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EJAAM
2019-07-01
|
| Series: | E-Journal of Analysis and Applied Mathematics |
| Subjects: | |
| Online Access: | https://ejaam.org/articles/2019/10.2478-ejaam-2019-0001.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We give the eigenvalues asymptotics for the Stark operator of the form $\displaystyle-\Delta+Fx$, $F>0$ on $\displaystyle\mathrm{L}^2([0,d])$. This is given in the case when $F$ is small enough or sufficiently large. We impose various boundary conditions. The proof is based on the asymptotics of the specialized Airy functions. |
|---|---|
| ISSN: | 2544-9990 |