Advanced search
Publication Cover
Waves in Random Media Volume 14, 2004 - Issue 2
Journal homepage
28
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Analysis of the dispersion equation for the Schrödinger operator on periodic metric graphs

V L Oleinik Laboratory of Quantum Networks, VA Fock Institute of Physics, St Petersburg State University, Ulianovskaya 1, Petrodvorets, St Petersburg, 198504, Russia
,
B S Pavlov Laboratory of Quantum Networks, VA Fock Institute of Physics, St Petersburg State University, Ulianovskaya 1, Petrodvorets, St Petersburg, 198504, Russia; Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand
&
N V Sibirev Department of Physics, St Petersburg State University, Ulianovskaya 1, Petrodvorets, St Petersburg, 198504, Russia
Pages 157-183 | Received 09 Sep 2003, Published online: 19 Aug 2006

Citations (8)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

M.S. Dorofeev & A.V. Shanin. (2009) Estimation of number of modes in periodic graphs. Waves in Random and Complex Media 19:3, pages 556-565.
Read now

Articles from other publishers (7)

Víctor Barrera-Figueroa & Vladimir S Rabinovich. (2017) Effective numerical method of spectral analysis of quantum graphs. Journal of Physics A: Mathematical and Theoretical 50:21, pages 215207.
Crossref
B. S. Pavlov. (2008) Krein formula with compensated singularities for the ND-mapping and the generalized Kirchhoff condition at the Neumann Schrödinger junction. Russian Journal of Mathematical Physics 15:3, pages 364-388.
Crossref
Anna B. Mikhailova, Boris S. Pavlov & Lev V. Prokhorov. (2007) Intermediate Hamiltonian via Glazman's splitting and analytic perturbation for meromorphic matrix‐functions. Mathematische Nachrichten 280:12, pages 1376-1416.
Crossref
Peter Kuchment & Olaf Post. (2007) On the Spectra of Carbon Nano-Structures. Communications in Mathematical Physics 275:3, pages 805-826.
Crossref
J M Harrison, P Kuchment, A Sobolev & B Winn. (2007) On occurrence of spectral edges for periodic operators inside the Brillouin zone. Journal of Physics A: Mathematical and Theoretical 40:27, pages 7597-7618.
Crossref
Anna B. Mikhailova, Boris Pavlov & Victor I. Ryzhii. 2007. Operator Theory, Analysis and Mathematical Physics. Operator Theory, Analysis and Mathematical Physics 77 103 .
Konstantin Pankrashkin. (2005) Reducible boundary conditions in coupled channels. Journal of Physics A: Mathematical and General 38:41, pages 8979-8992.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.