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Semiclassical Approximation for Periodic Potentials
U. P. Sukhatme, M. N. Sergeenko
We derive the semiclassical WKB quantization condition for obtaining the energy band edges of periodic potentials. The derivation is based on an approach which is much simpler than…
New Solvable and Quasi Exactly Solvable Periodic Potentials
Avinash Khare, Uday Sukhatme
Using the formalism of supersymmetric quantum mechanics, we obtain a large number of new analytically solvable one-dimensional periodic potentials and study their properties. More…
Coordinate Realizations of Deformed Lie Algebras with Three Generators
R. Dutt, A. Gangopadhyaya, C. Rasinariu +1
Differential realizations in coordinate space for deformed Lie algebras with three generators are obtained using bosonic creation and annihilation operators satisfying Heisenberg c…
Comment on "Self-Isospectral Periodic Potentials and Supersymmetric Quantum Mechanics"
Uday Sukhatme, Avinash Khare
We show that the formalism of supersymmetric quantum mechanics applied to the solvable elliptic function potentials produces new exactly solvable one-di…