WKB approximation
Solution method for linear differential equations / From Wikipedia, the free encyclopedia
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"WKB" and "WKBJ" redirect here. For other uses, see WKB (disambiguation). For the television station in Live Oak, Florida, see WKBJ-LD.
In mathematical physics, the WKB approximation or WKB method is a method for finding approximate solutions to linear differential equations with spatially varying coefficients. It is typically used for a semiclassical calculation in quantum mechanics in which the wavefunction is recast as an exponential function, semiclassically expanded, and then either the amplitude or the phase is taken to be changing slowly.
The name is an initialism for Wentzel–Kramers–Brillouin. It is also known as the LG or Liouville–Green method. Other often-used letter combinations include JWKB and WKBJ, where the "J" stands for Jeffreys.