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WKB method of approximation
Would it be legitimate to use the WKB approximation for a particle in a spherically symmetric Gaussian potential?
$$V(r)~=~V_0(1-e^{-r^2/a^2}).$$
I'm not sure when to use which approximation ...
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Question on energies obtained via WKB approximation
Suppose we are given an ODE problem $$ y''(x)+V(x)f(x)=E_{n} y(x) $$
with boundary conditions $ y(0)=y(\infty)=0$. Here $V(x)$ is a potential function.
Then is it always true that (for $n ...