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Spectral and scattering theory for the Klein-Gordon equation. (English) Zbl 1125.35391

Summary: Eigenfunction expansions associated with the Klein-Gordon equation, are derived in the static external field case. By employing these, we develop spectral and scattering theory. The results are almost as strong as those obtained in the Schrödinger case.

MSC:

35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
35Q40 PDEs in connection with quantum mechanics
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35P25 Scattering theory for PDEs
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References:

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