Loops of Energy Bands for Bloch Waves in Optical Lattices

DOI10.1111/J.1467-9590.2011.00536.XzbMath1251.35166OpenAlexW1602719259WikidataQ60033809 ScholiaQ60033809MaRDI QIDQ2896008

Matt Coles, Dmitry E. Pelinovsky

Publication date: 13 July 2012

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2011.00536.x

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Bifurcations in context of PDEs (35B32) PDEs in connection with statistical mechanics (35Q82)

Related Items (1)

Bifurcation of nonlinear Bloch waves from the spectrum in the Gross-Pitaevskii equation

Cites Work

• Unnamed Item
• Periodic nonlinear Schrödinger equation with application to photonic crystals
• Applied functional analysis. Main principles and their applications
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Count of eigenvalues in the generalized eigenvalue problem
• Inertia law for spectral stability of solitary waves in coupled nonlinear Schrödinger equations

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