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== publicaciones ==* perturbation theory of linear operators.
== publications ==* perturbation theory of linear operators.

techniques from perturbation theory find ample application in such areas.
techniques from perturbation theory find ample application in such areas.

* a short introduction to the perturbation theory of linear operators.
* a short introduction to the perturbation theory of linear operators.

this means that the coupling becomes large at low energies, and one can no longer rely on perturbation theory.
this means that the coupling becomes large at low energies, and one can no longer rely on perturbation theory.

=== perturbation methods ===the nonlinearity of the einstein field equations often leads one to consider approximation methods in solving them.
===perturbation methods===the nonlinearity of the einstein field equations often leads one to consider approximation methods in solving them.

kato es también conocido por su libro clásico "perturbation theory of linear operators", publicado por springer-verlag.
kato is also known for his influential book "perturbation theory of linear operators", published by springer-verlag.

== véase también ==* función de airy* field electron emission* langer correction* method of steepest descent / laplace method* old quantum theory* perturbation methods* quantum tunneling* slowly varying envelope approximation== referencias ===== modern references ====== historical references ===== enlaces externos ==* richard fitzpatrick, "the w.k.b.
==see also==* instanton* airy function* field electron emission* langer correction* method of steepest descent / laplace method* old quantum theory* perturbation methods* quantum tunneling* slowly varying envelope approximation==references=====modern references======historical references=====external links==* (an application of the wkb approximation to the scattering of radio waves from the ionosphere.