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quant-ph2004★ 29 cited
Periodic Potentials and Supersymmetry
Avinash Khare, Uday Sukhatme
We review the current status of one dimensional periodic potentials and also present several new results. It is shown that using the formalism of supersymmetric quantum mechanics,…
quant-ph2004★ 26 cited
Analytically Solvable PT-Invariant Periodic Potentials
Avinash Khare, Uday Sukhatme
Associated Lamé potentials $V(x)=a(a+1)m\sn^2(x,m)+b(b+1)m{\cn^2 (x,m)}/{\dn^2(x,m)}$ are used to construct complex, PT-invariant, periodic potentials using the anti-isospectral tr…