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On the Eigenvalues of the Electrostatic Integral Operator, II.

โœ Scribed by J.F. Ahner


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
214 KB
Volume
181
Category
Article
ISSN
0022-247X

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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