Spectral analysis of photonic crystals made of thin rods

Author:

Holzmann Markus1,Lotoreichik Vladimir2

Affiliation:

1. Institut für Angewandte Mathematik, Technische Universität Graz, Steyrergasse 30, A 8010 Graz, Austria. E-mail: holzmann@math.tugraz.at

2. Department of Theoretical Physics, Nuclear Physics Institute, Czech Academy of Sciences, 250 68, Řež near Prague, Czechia. E-mail: lotoreichik@ujf.cas.cz

Publisher

IOS Press

Subject

General Mathematics

Reference46 articles.

1. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, Vol. 55, U.S. Government Printing Office, Washington, D.C., 1964, for sale by the Superintendent of Documents.

2. Point interactions in two dimensions: Basic properties, approximations and applications to solid state physics;Albeverio;J. Reine Angew. Math.,1987

3. S. Albeverio, F. Gesztesy, R. Høegh-Krohn and H. Holden, Solvable Models in Quantum Mechanics, 2nd edn, AMS Chelsea Publishing, Providence, RI, 2005, with an Appendix by Pavel Exner.

4. On point interactions in one dimension;Albeverio;J. Operator Theory,1984

5. H. Ammari, H. Kang and H. Lee, Layer Potential Techniques in Spectral Analysis, Mathematical Surveys and Monographs, Vol. 153, American Mathematical Society, Providence, RI, 2009.

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