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A remark on the Lifshitz tail for Schrödinger operator with random magnetic field

✍ Scribed by Shu Nakamura


Publisher
Indian Academy of Sciences
Year
2002
Tongue
English
Weight
120 KB
Volume
112
Category
Article
ISSN
0253-4142

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Lower Bounds for the Spectra of Schrödin
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An explicit representation of lower bounds for the spectra of Schrödinger operators with magnetic fields on \(\sigma\)-compact Riemannian manifolds is given, using the positivity of the Pauli Hamiltonian. This representation is applied to show some asymptotic properties of a stochastic oscillatory i