WKB Method
Generally, WKB theory is a method for approximating the solution of a differential equation whose highest derivative is multiplied by a small parameter ε. The method of approximation is as follows:
For a differential equation
assume a solution of the form of an asymptotic series expansion
In the limit . Substitution of the above ansatz into the differential equation and canceling out the exponential terms allows one to solve for an arbitrary number of terms in the expansion. WKB theory is a special case of multiple scale analysis.
Read more about this topic: WKB Approximation
Famous quotes containing the word method:
“Government by average opinion is merely a circuitous method of going to the devil; those who profess to lead but in fact slavishly follow this average opinion are simply the fastest runners and the loudest squeakers of the herd which is rushing blindly down to its destruction.”
—Thomas Henry Huxley (1825–95)