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Numerical computation of Maass waveforms and an application to cosmology

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arxiv gr-qc/0404020 v1 pith:VCEXFTNS submitted 2004-04-06 gr-qc nlin.CD

R. Aurich , F. Steiner , H. Then This is my paper
classification gr-qcnlin.CD
keywords cosmologyapplicationapplyingchaoscomputationcomputedemonstrateeigenfunctions
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We compute numerically eigenvalues and eigenfunctions of the Laplacian in a three-dimensional hyperbolic space. Applying the results to cosmology, we demonstrate that the methods learned in quantum chaos can be used in other fields of research.

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Cited by 1 Pith paper

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  1. Wheeler-DeWitt wavefunctions for 5d BKL dynamics, automorphic L-functions and complex primon gases

    hep-th 2025-07 conditional novelty 8.0 of 10

    Near-singularity Wheeler-DeWitt wavefunctions for 5d BKL dynamics are shown to correspond to Hecke L-functions over Gaussian or Eisenstein integers, whose Euler products define complex 'primon gas' partition functions.

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