Abstract
In this chapter, we will examine a number of theorems about operators H which follow from the Mourre estimate, an estimate which says that a commutator [H, iA] is positive in some sense. The ideas in this chapter can be traced back to Putnam [289], Kato [191] and Lavine [225] for theorems on the absence of singular spectrum, and to Weidmann [367] and Kalf [189] for theorems on absence of positive eigenvalues.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Magnetic Fields. In: Schrödinger Operators. Theoretical,Mathematical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77522-5_6
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DOI: https://doi.org/10.1007/978-3-540-77522-5_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16758-7
Online ISBN: 978-3-540-77522-5
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