WKB Theory

  • Carl M. Bender
  • Steven A. Orszag


WKB theory is a powerful tool for obtaining a global approximation to the solution of a linear differential equation whose highest derivative is multiplied by a small parameter ε; it contains boundary-layer theory as a special case.


Turning Point Global Analysis Schrodinger Equation Airy Function Physical Optic 


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  1. 40.
    See Refs. 9, 18, 22 (vol. I), 30, 31, and: Fröman, N., and Fröman, P. O., JWKB Approximation, North-Holland Publishing Company, Amsterdam, 1965.MATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Carl M. Bender
    • 1
  • Steven A. Orszag
    • 2
  1. 1.Department of PhysicsWashington UniversitySt. LouisUSA
  2. 2.Department of MathematicsYale UniversityNew HavenUSA

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