The Quantum Development of an Asymptotically Euclidean Cauchy Hypersurface

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


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.

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

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

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