Lamé polynomials, hyperelliptic reductions and Lamé band structure

DOI10.1098/rsta.2007.2063zbMath1153.37425arXivmath-ph/0309005OpenAlexW3122550644WikidataQ51911879 ScholiaQ51911879MaRDI QIDQ5503951

Robert S. Maier

Publication date: 21 January 2009

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0309005

zbMATH Keywords

Lamé polynomialLamé equationdispersion relationband structureHermite-Krichever ansatzhyperelliptic reduction

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Mittag-Leffler functions and generalizations (33E12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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Cites Work

• Quasi–periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type
• V.—The Periodic Lamé Functions
• VII—Further Investigations into the Periodic Lamé Functions

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