# SRO

## Seminar

### On the spectrum of the Klein-Gordon equation

Seminar Room 1, Newton Institute

#### 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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