Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields.
In: Transactions of the American Mathematical Society, Jg. 348 (1996-11-01), Heft 11, S. 4465-4488
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Zugriff:
We consider the Schrödinger operator with magnetic field, \begin{equation*}H=(\frac{1}{i}\nabla -{\overset {\rightharpoonup }{a}}(x))^{2}+V(x) \text{ in } \mathbb{R}^{n}. \end{equation*} Assuming that $V\ge 0$ and $|\text{curl} \overset {\rightharpoonup }{a}|+V+1$ is locally in certain reverse Hölder class, we study the eigenvalue asymptotics and exponential decay of eigenfunctions. [ABSTRACT FROM AUTHOR]
Titel: |
Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields.
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Autor/in / Beteiligte Person: | Shen, Zhongwei |
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Zeitschrift: | Transactions of the American Mathematical Society, Jg. 348 (1996-11-01), Heft 11, S. 4465-4488 |
Veröffentlichung: | 1996 |
Medientyp: | academicJournal |
ISSN: | 0002-9947 (print) |
DOI: | 10.1090/S0002-9947-96-01709-6 |
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