A Schrödinger operator with confining potential having quadratic growth
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913842083135488 |
|---|---|
| author | Alessi, Chiara Brasco, Lorenzo Miranda Jr, Michele |
| author_facet | Alessi, Chiara Brasco, Lorenzo Miranda Jr, Michele |
| contents | We study the spectral properties of a Schrödinger operator, in presence of a confining potential given by the distance squared from a fixed compact potential well. We prove continuity estimates on both the eigenvalues and the eigenstates, lower bounds on the ground state energy, regularity and integrability properties of eigenstates. We also get explicit decay estimates at infinity, by means of elementary nonlinear methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11113 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Schrödinger operator with confining potential having quadratic growth Alessi, Chiara Brasco, Lorenzo Miranda Jr, Michele Analysis of PDEs Spectral Theory We study the spectral properties of a Schrödinger operator, in presence of a confining potential given by the distance squared from a fixed compact potential well. We prove continuity estimates on both the eigenvalues and the eigenstates, lower bounds on the ground state energy, regularity and integrability properties of eigenstates. We also get explicit decay estimates at infinity, by means of elementary nonlinear methods. |
| title | A Schrödinger operator with confining potential having quadratic growth |
| topic | Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2505.11113 |