Work

Resonances in twisted quantum waveguides

Year: 2007

Type: article

Abstract: In this paper we consider embedded eigenvalues of a Schrödinger Hamiltonian in a waveguide induced by a symmetric perturbation. It is shown that these eigenvalues become unstable and turn into resonances after twisting of the waveguide. The perturbative expansion of the resonance width is calculated for weakly twisted waveguides and the influence of the twist on resonances in a concrete model is discussed in detail.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8113/40/29/012

Authors: Hynek Kovařík, Andrea Sacchetti

Institutions: University of Stuttgart, University of Modena and Reggio Emilia

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Ministero dell’Istruzione, dell’Università e della Ricerca

OpenAlex ID: W2172285733

FWCI: 0.876

Cites: 17

Cited by: 14

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