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Some Properties of Eigenfunctions of the Schrödinger Operator in a Magnetic Field

✍ Scribed by M. B. Gubaidullin; Kh. Kh. Murtazin

Book ID
110290710
Publisher
SP MAIK Nauka/Interperiodica
Year
2001
Tongue
English
Weight
141 KB
Volume
126
Category
Article
ISSN
0040-5779

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📜 SIMILAR VOLUMES

Eigenfunctions and Hardy inequalities fo
Eigenfunctions and Hardy inequalities for a magnetic Schrödinger operator in ℝ2
✍ Bénédicte Alziary; Jacqueline Fleckinger-Pellé; Peter Takáč 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 349 KB

## Abstract The zero set {__z__∈ℝ^2^:ψ(__z__)=0} of an eigenfunction ψ of the Schrödinger operator ℒ︁~__V__~=(i∇+**A**)^2^+__V__ on __L__^2^(ℝ^2^) with an Aharonov–Bohm‐type magnetic potential is investigated. It is shown that, for the first eigenvalue λ~1~ (the ground state energy), the following