L<sup><em>p</em></sup>-analysis of one-dimensional repulsive Hamiltonian with a class of perturbations
The spectrum of one-dimensional repulsive Hamiltonian with a class of perturbations $H_p=-\frac{d^2}{dx^2}-x^2+V(x)$ in $L^p(\R)$ ($1< p<\infty$) is explicitly given. It is also proved that the domain of $H_p$ is embedded into weighted $L^q$-spaces for some $q>p$. Additionally,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2018-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/10.3934/Math.2018.1.21/fulltext.html |