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Scattering of Acoustic and Electromagnetic Waves by Small Impedance Bodies of Arbitrary Shapes by Alexander G. Ramm

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CHAPTER 10

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QUANTUM-MECHANICAL WAVE SCATTERING BY MANY POTENTIALS WITH SMALL SUPPORT

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10.1 Problem formulation.

In this chapter quantum-mechanical wave scattering by many potentials with small support is studied. The number of the potentials tends to infinity while the characteristic radius a of their supports tends to zero. The limiting medium is described by a refraction coefficient that can be of desired form if the potentials with small support are chosen properly.

Let us assume that a bounded domain Ω ⊂ is filled with a material with a known ...

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