On quantum waveguide with shrinking potential - Mathematical PhysicsReport as inadecuate




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Abstract: We consider the spectrum of a Schroedinger operator in a multi-dimensionalcylinder perturbed by a shrinking potential. We study the phenomenon of a neweigenvalue emerging from the threshold of the essential spectrum and give thesufficient conditions for such eigenvalues to emerge. If such eigenvaluesexist, we construct their asymptotic expansions.



Author: A. Bikmetov, R. Gadyl'shin

Source: https://arxiv.org/







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