Scattering theory for the Klein-Gordon equation
Por:
Weder R.A.
Publicada:
1 ene 1978
Resumen:
We develop the scattering theory for the Klein-Gordon equation. We follow the usual procedure of considering an equivalent equation, which is first order in time, in the Hilbert space of vector valued functions which have a finite energy norm. We prove existence and completeness of the wave operators, the intertwining relations, and the invariance principle as well. This is done for a large class of potentials. In particular, the magnetic potential may even be divergent at infinity. Electric and scalar potentials that behave at infinity as |x|-?{lunate} - l, ?{lunate} > 0 are contained in our class. © 1978.
Filiaciones:
Weder R.A.:
Universiteit Leuven, Eidgenössische Technische Hochschule Zürich, Switzerland
Bronze
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