Abstract
We study the generalizations of the well-known Lieb-Thirring inequality for the magnetic Schrödinger operator with a nonconstant magnetic field. We use stochastic methods to prove estimates on the moments of the negative eigenvalues.
Work supported by the NSF grant PHY90-19433 A02, by the Alfred Sloan Foundation dissertation Fellowship and by the Erwin Schrödinger Institute for Mathematical Physics in Vienna.
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Erdős, L. (1995). Magnetic Lieb-Thirring Inequalities and Stochastic Oscillatory Integrals. In: Demuth, M., Schulze, BW. (eds) Partial Differential Operators and Mathematical Physics. Operator Theory Advances and Applications, vol 78. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9092-2_13
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DOI: https://doi.org/10.1007/978-3-0348-9092-2_13
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