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The Computation of Highly Excited Hyperbolic 3D-Eigenmodes and Their Application to Quantum Chaos and Cosmology

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High Performance Computing in Science and Engineering ’01
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Abstract

The numerical aspect of our project consists of the computation of the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of the hyperbolic 3D-space with constant negative curvature with respect to a compact fundamental cell. The eigenfunctions have to obey certain boundary conditions on the fundamental cell.

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© 2002 Springer-Verlag Berlin Heidelberg

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Aurich, R. (2002). The Computation of Highly Excited Hyperbolic 3D-Eigenmodes and Their Application to Quantum Chaos and Cosmology. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’01. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56034-7_6

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  • DOI: https://doi.org/10.1007/978-3-642-56034-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62719-4

  • Online ISBN: 978-3-642-56034-7

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