Titlebook: Mathematical Results in Quantum Mechanics; International Confer M. Demuth,P. Exner,V. Zagrebnov Book 1994 Springer Basel AG 1994 Generator.

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978-3-0348-9673-3Springer Basel AG 1994

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Mathematical Results in Quantum Mechanics978-3-0348-8545-4Series ISSN 0255-0156 Series E-ISSN 2296-4878

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Operator Theory: Advances and Applicationshttp://image.papertrans.cn/m/image/626574.jpg

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https://doi.org/10.1007/978-3-0348-8545-4Generator; STATISTICA; operator theory; quantum mechanics; quantum physics; statistical physics

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Schrödinger Operators with Strong Local Magnetic Perturbations: Existence of Eigenvalues in Gaps of In the present note, we show that perturbations by strong magnetic fields of compact support may produce eigenvalues inside a spectral gap of a (periodic) Schrödinger operator. Here we will discuss the following situation:

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Stark ladders and perturbation theoryWe consider the Bloch problems with a finite number of open gaps and we prove, for any external weak enough electric field, the existence of a finite number of Stark ladders, given by complex translation, decoupled band approximation and regular perturbation theory.

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