Asymptotics of the Eigenvalues and Eigenfunctions of a Thin Square Dirichlet Lattice with a Curved Ligament

Author:

Nazarov S. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference27 articles.

1. P. A. Kuchment, “Floquet theory for partial differential equations,” Uspekhi Mat. Nauk 37 (4 (226)), 3–52 (1982) [Russian Math. Surveys 37 (4), 1–60 (1982)].

2. M. M. Skriganov, “Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators,” in Trudy Mat. Inst. Steklova (MIAN, Moscow, 1985), Vol. 171, pp. 3–122 [Proc. Steklov Inst. Math. 171, 1–121 (1987)].

3. Oper. Theory Adv. Appl.;P Kuchment,1993

4. S. A. Nazarov, “The spectra of rectangular lattices of quantum waveguides,” Izv. Ross. Akad. Nauk Ser. Mat. 81 (1), 31–92 (2017) [Izv. Math. 81 (1), 29–90 (2017)].

5. R. L. Shult, D. G. Ravenhall, and H. D. Wyld, “Quantum bound states in a classically unbound system of crossed wires,” Phys. Rev. B 39, 5476–5479 (1989).

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