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On the spectrum of the Klein-Gordon equation

Winklmeier, M (Universidad de los Andes)
Wednesday 08 August 2012, 14:00-15:00

Seminar Room 1, Newton Institute


The Klein-Gordon equation is a partial differential equation which describes quantum mechanical particles in a potential. We show that an operator pencil can be associated with the equation whose spectrum is unbounded both from below and above. We give criteria on the potential for the existence of a gap in the spectrum of pencil.

This is a joint work with M. Koppen and C. Tretter.


[pdf ]


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