Scattering on periodic metric graphs
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Publication:5149205
DOI10.1142/S0129055X20500245WikidataQ126300028 ScholiaQ126300028MaRDI QIDQ5149205
Natalia Saburova, Evgeny L. Korotyaev
Publication date: 8 February 2021
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.06441
scatteringSchrödinger operatorsFredholm determinantdirect integralmetric Laplacianperiodic metric graph
Spectrum, resolvent (47A10) Scattering theory of linear operators (47A40) Infinite graphs (05C63) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (6)
Spectra of graphenes with variant edges ⋮ Trace formulas for time periodic complex Hamiltonians on lattice ⋮ Trace formulas for Schrödinger operators on a lattice ⋮ Spectral estimates for Schrödinger operators on periodic discrete graphs ⋮ Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph ⋮ Eigenvalues of periodic difference operators on lattice octants
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