It is proved that small periodic singular perturbation of a cylindrical waveguide surface may open a gap in the essential spectrum of the Dirichlet problem for the Laplace operator. If the perturbation period is long and the caverns in the cylinder are small, the gap certainly opens.
Band Gap of the Spectrum in Periodically Curved Quantum Waveguides
โ Scribed by Kazushi Yoshitomi
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 567 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
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