Completeness theorem for the system of eigenfunctions of the complex Schr\'odinger operator $\mathscr{L}_c=-d^2/dx^2+cx^\alpha$
| Autor: | Tumanov, Sergey |
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| Jazyk: | ruština |
| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The completeness of the system of eigenfunctions of the complex Schr\"odinger operator $\mathscr{L}_c=-d^2/dx^2+cx^\alpha$ on the semi-axis with Dirichlet boundary conditions is proved for $\alpha\in(0,2)$ and $|\arg c|<2\pi\alpha/(\alpha+2)+\Delta t(\alpha)$ with some $\Delta t(\alpha)>0$. Comment: v1 in Russian, v2 in English |
| Databáze: | arXiv |
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