Published September 2011
| Published + Submitted
Journal Article
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Eigenvalue bounds for Schrödinger operators with a homogeneous magnetic field
- Creators
-
Frank, Rupert L.
- Olofsson, Rikard
Abstract
We prove Lieb-Thirring inequalities for Schrödinger operators with a homogeneous magnetic field in two and three space dimensions. The inequalities bound sums of eigenvalues by a semi-classical approximation which depends on the strength of the magnetic field, and hence quantifies the diamagnetic behavior of the system. For a harmonic oscillator in a homogenous magnetic field, we obtain the sharp constants in the inequalities.
Additional Information
© 2011 The Author(s). This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 13 January 2011; Revised: 10 May 2011; Accepted: 10 May 2011. Published online: 9 June 2011. R. Olofsson acknowledges support through the Swedish Research Council.Attached Files
Published - art_3A10.1007_2Fs11005-011-0499-4.pdf
Submitted - 1102.0329.pdf
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Additional details
- Eprint ID
- 77082
- Resolver ID
- CaltechAUTHORS:20170501-072120225
- Swedish Research Council
- Created
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2017-05-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field