In physics, the supersymmetric WKB (SWKB) approximation[1] is an extension of the WKB approximation that uses principles from supersymmetric quantum mechanics to provide estimations on energy eigenvalues in quantum-mechanical systems.
The SWKB approximation for unbroken supersymmetry, to first order in
First, it is known that, by construction, the ground state energy will be exactly estimated.
This is an improvement over the standard WKB approximation, which often has weaknesses at lower energies.
Another property is that a class of potentials known as shape invariant potentials have their energy spectra estimated exactly by this first-order condition.
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