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On the Moments of the Negative Eigenvalues of Elliptic Operators

✍ Scribed by Kazuya Tachizawa


Publisher
SP Birkhäuser Verlag Boston
Year
2002
Tongue
English
Weight
113 KB
Volume
8
Category
Article
ISSN
1069-5869

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On Moments of Negative Eigenvalues for t
✍ Zhongwei Shen 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 471 KB

This paper concerns the three-dimensional Pauli operator P=(\_ } (p&A(x))) 2 +V(x) with a nonhomogeneous magnetic field B=curl A. The following Lieb Thirring type inequality for the moment of negative eigenvalues is established as where p>3Â2 and b p (x) is the L p average of |B| over certain cube