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arxiv: 1609.03009 · v1 · pith:XYIKFTMLnew · submitted 2016-09-10 · 🧮 math-ph · cond-mat.stat-mech· hep-th· math.MP· nlin.SI

Hermite-Halphen-Bloch solution of two-gap Lam\'e equation

classification 🧮 math-ph cond-mat.stat-mechhep-thmath.MPnlin.SI
keywords equationsolutiontwo-gapbandcalculateclosedconstructdispersion
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We construct the Hermite--Halphen--Bloch solution for the two-gap ($n=2$) Lam\'e equation of Jacobian form and give closed formulae to calculate the energy band dispersion relation.

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