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Spectral properties of the Schrödinger operator with a potential having a slow falloff

✍ Scribed by D. R. Yafaev

Publisher
Springer US
Year
1983
Tongue
English
Weight
562 KB
Volume
16
Category
Article
ISSN
0016-2663

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✍ S.Z. Levendorskii 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 279 KB

The two-dimensional Schrodinger operator H a for a spin particle is consid-¨2 ered. The magnetic field b generated by a does not grow in some directions and stabilizes to a positively homogeneous function. It is shown that the spectrum ˜Ž Ž .. Ž Ž .. Ä 4 H a consists of H a and 0 , the latter being