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Consider the 1D time-independent Schrodinger equation
ħ² ď²
2m dr²
with the potential
where to is a parameter.
(a) Show that
V(x) =
+V(x)] = Ev
v
is a solution of the Schrodinger equation.
ħ²
mx²
sech²
1 = A sech
x
xo
(₁)

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