Start SHO-. Superpotential:
W = x-a / Potential: V_{-} = (x-a)^{2}-1

Start SHO+. Superpotential:
W = x-a / Potential: V_{+} = (x-a)^{2}+1

Start AnHO-.
Superpotential: W = x^{2}-a / Potential: V_{-} =
(x^2-a)^{2}-2x

Start AnHO+.
Superpotential: W = x^{2}-a / Potential: V_{+ }=
(x^2-a)^{2}+2x

Start Sin-. Superpotential:
W = a*Sin(x) / Potential: V_{-} = a*Cos(x)+a^{2}*Sin^{2}(x)

Start Sin+. Superpotential:
W = a*Sin(x) / Potential: V_{+} = -a*Cos(x)+a^{2}*Sin^{2}(x)

From the superpotential, W, SUSY quantum potentials (V_{-} and
V_{+}) and
groundstate wavefunctions (- and +) are calculated. A plot of the potential and
wavefunction is shown for both the (-) and (+) solutions as a function of the arbitrary
parameter a. Note the lack of sensitivity to this parameter: SUSY remains good/bad
(meaning the wavefunction is either normalizable or it is not) for a wide range of
values[Dunne et.al.]. Also note that only one (good SUSY) or neither (bad SUSY) of the
pair of potentials has a normalizable wavefunction in the first two pairings. However in
the last pairing SUSY is good for both cases which is a property of periodic potentials.

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Page created by Dr. Mario Belloni with thanks to Dr. Gerald Dunne at the University of Connecticut for his suggestions regarding these Physlets.