The Quantum Development of an Asymptotically Euclidean Cauchy Hypersurface

Chapter
Part of the Fundamental Theories of Physics book series (FTPH, volume 194)

Abstract

Assuming that the Cauchy hypersurface is asymtotically Euclidean we prove that the temporal eigenvalues are also spatial eigenvalues and the product of corresponding eigenfunctions and eigendistributions, which will be smooth functions with polynomial growth, are the physically interesting solutions of the wave equation. We consider these solutions to describe the quantum development of the Cauchy hypersurface.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institut für Angewandte MathematikRuprecht-Karls-UniversitätHeidelbergGermany

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