- 00-212 Marius Mantoiu, Mihai Pascu
- Perturbations of magnetic Schrodinger operators
May 6, 00
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Abstract. We study 3-dimentional magnetic Schrodinger operators. We assume that the magnetic field B = B0 + B' where B0 is a very general field having constant direction. The perturbation B' and the electric potential V will be small in a certain sense in the direction B0, but in the orthogonal plane they may even grow for certain fields B0. Commutator methods are used to derive spectral properties of the Hamiltonian.