English

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

Mathematical Physics 2016-09-13 v1 Statistical Mechanics High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

Abstract

We construct the Hermite--Halphen--Bloch solution for the two-gap (n=2n=2) Lam\'e equation of Jacobian form and give closed formulae to calculate the energy band dispersion relation.

Cite

@article{arxiv.1609.03009,
  title  = {Hermite-Halphen-Bloch solution of two-gap Lam\'e equation},
  author = {Jun-ichiro Kishine and A. S. Ovchinnikov},
  journal= {arXiv preprint arXiv:1609.03009},
  year   = {2016}
}

Comments

8 pages, 5 figures

R2 v1 2026-06-22T15:45:37.300Z