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math-ph2005★ 2 cited
Quasi-Periodic Solutions of Heun's Equation
Avinash Khare, Uday Sukhatme
By exploiting a recently developed connection between Heun's differential equation and the generalized associated Lamé equation, we not only recover the well known periodic solutio…
math-ph2005★ 16 cited
PT-Invariant Periodic Potentials with a Finite Number of Band Gaps
Avinash Khare, Uday Sukhatme
We obtain the band edge eigenstates and the mid-band states for the complex, PT-invariant generalized associated Lamé potentials $V^{PT}(x)=-a(a+1)m \sn^2(y,m)-b(b+1)m {\sn^2 (y+K(…