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WKBJ approximation)
In physics, the WKB approximation, also known as WKBJ approximation, is the most familiar example of a semiclassical calculation in quantum mechanics in which the wavefunction is approximated by
- <math>\psi(x)\approx \frac{1}{\sqrt{2m[E-V(x)]}}\exp\left(\pm i\int_{-\infty}^x dx' \sqrt{2m(E-V(x))}\right)<math>
The phase is simply determined by the condition that the rate of its change is fully determined by the energy <math>E<math> of the particle. The WKB approximation is essentially equivalent to one-loop Feynman diagrams in quantum field theory.
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