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On Moments of Negative Eigenvalues for the Pauli Operator

โœ Scribed by Zhongwei Shen


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
232 KB
Volume
151
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES


On Moments of Negative Eigenvalues for t
โœ Zhongwei Shen ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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>3ร‚2 and b p (x) is the L p average of |B| over certain cube

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โœ A.A Balinsky; W.D Evans ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 150 KB