It is shown that the usual WKB quantum condition for one-dimensional potentials should be modified for problems defined on the finite interval (a,b) by adding the ’’correction’’ ΔV (x) = (h/2/8m)[π/(b−a)]2/cos2 {π[x−(a+b)/2]/(b−a) } to the actual potential. Numerical application shows the modified quantum condition to be a considerable improvement over the usual (i.e., unmodified) equation.
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Adams et al. (1977) studied this question.
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