Quasi-Periodic Solutions of Heun's Equation
classification
🧮 math-ph
hep-thmath.MPquant-ph
keywords
equationsolutionsheunquasi-periodicassociatedclassconnectiondegenerate
read the original abstract
By exploiting a recently developed connection between Heun's differential equation and the generalized associated Lam\'e equation, we not only recover the well known periodic solutions, but also obtain a large class of new, quasi-periodic solutions of Heun's equation. Each of the quasi-periodic solutions is doubly degenerate.
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