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On the spectrum of the Klein-Gordon equation

Date: 
Wednesday 8th August 2012 - 14:00 to 15:00
Venue: 
INI Seminar Room 1
Abstract: 
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.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons