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A new simple class of superpotentials in SUSY Quantum Mechanics
In this work we introduce the class of quantum mechanics superpotentials
and study in details the cases and 1. The
superpotential is shown to lead to the known problem of two
supersymmetrically related Dirac delta potentials (well and barrier). The
case result in the potentials . For we
present the exact ground state solution and study the excited states by a
variational technic. Starting from the ground state of and using
logarithmic perturbation theory we study the ground states of and also
of and compare the result got by this new way with other results
for this state in the literature.Comment: 18 page