An Application of Scattering Theory to the Spectrum of the Laplace-beltrami Operator
نویسنده
چکیده
Applying a theorem due to Belopol’ski and Birman, we show that the Laplace-Beltrami operator on 1-forms on R endowed with an asymptotically Euclidean metric has absolutely continuous spectrum equal to [0,+∞).
منابع مشابه
Geometric Scattering Theory and Applications
Classical scattering theory, by which we mean the scattering of acoustic and electromagnetic waves and quantum particles, is a very old discipline with roots in mathematical physics. It has also become an important part of the modern theory of linear partial differential equations. Spectral geometry is a slightly more recent subject, the goal of which is to understand the connections between th...
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