Numerical computation of Maass waveforms and an application to cosmology

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.

A version of the paper with high resolution figures is available at http://www.physik.uni-ulm.de/theo/qc/publications.html

References in corpus (7)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• High Resolution Observations of the CMB Power Spectrum with ACBAR
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Interpretation of the TT and TE Angular Power Spectrum Peaks
• The Anisotropy of the Microwave Background to l = 3500: Mosaic Observations with the Cosmic Background Imager
• Maass cusp forms for large eigenvalues
• Hyperbolic Universes with a Horned Topology and the CMB Anisotropy

Cited by in corpus (4)

• Parametric solution of certain nonlinear differential equations in cosmology
• Applications of Elliptic and Theta Functions to Friedmann-Robertson-Lemaitre-Walker Cosmology with Cosmological Constant
• On Ruan's Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifolds
• Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II