On Schrödinger equation with square and inverse-square potentials
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913957335269376 |
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| author | Ishida, Atsuhide Kawamoto, Masaki |
| author_facet | Ishida, Atsuhide Kawamoto, Masaki |
| contents | In this paper, we study the linear and nonlinear Schrödinger equations with a time-decaying harmonic oscillator and inverse-square potential. This model retains a form of scale invariance, and using this property, we demonstrate the asymptotic completeness of wave operators and Strichartz estimates for linear propagators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04756 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Schrödinger equation with square and inverse-square potentials Ishida, Atsuhide Kawamoto, Masaki Analysis of PDEs In this paper, we study the linear and nonlinear Schrödinger equations with a time-decaying harmonic oscillator and inverse-square potential. This model retains a form of scale invariance, and using this property, we demonstrate the asymptotic completeness of wave operators and Strichartz estimates for linear propagators. |
| title | On Schrödinger equation with square and inverse-square potentials |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.04756 |