Tuesday, March 13, 2012

1108.0300 (Wei He)

Combinatorial approach to Mathieu and Lamé equations    [PDF]

Wei He
Based on some recent progress on a relation between four dimensional super Yang-Mills gauge theory and quantum integrable system, we give a combinatorial method to derive the asymptotic expansions for eigenvalues of the Mathieu and Lam\'{e} equations. The WKB method is also used to extend the expansions in one asymptotic region to other asymptotic regions.
View original: http://arxiv.org/abs/1108.0300

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