Numerical computation of Maass waveforms and an application to cosmology

TL;DR

This paper numerically computes eigenvalues and eigenfunctions of the Laplacian in hyperbolic space and applies quantum chaos methods to cosmology, illustrating interdisciplinary utility.

Contribution

It introduces a numerical approach for hyperbolic Laplacian eigenproblems and demonstrates their application to cosmological models.

Findings

Eigenvalues and eigenfunctions computed numerically

Methods from quantum chaos applied to cosmology

Potential for interdisciplinary research

Abstract

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.