In this paper we consider embedded eigenvalues of a Schroedinger 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 calculatedfor weakly twisted waveguides and the influence of the twist on resonances in a concrete model is discussed in detail.

Resonances in twisted quantum waveguides / Kovarik, H; Sacchetti, Andrea. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - STAMPA. - 40:29(2007), pp. 8371-8384. [10.1088/1751-8113/40/29/012]

Resonances in twisted quantum waveguides

SACCHETTI, Andrea
2007

Abstract

In this paper we consider embedded eigenvalues of a Schroedinger 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 calculatedfor weakly twisted waveguides and the influence of the twist on resonances in a concrete model is discussed in detail.
2007
40
29
8371
8384
Resonances in twisted quantum waveguides / Kovarik, H; Sacchetti, Andrea. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - STAMPA. - 40:29(2007), pp. 8371-8384. [10.1088/1751-8113/40/29/012]
Kovarik, H; Sacchetti, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/585695
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