Arithmetic quantum chaos of Maass waveforms
Mathematical Physics
2016-09-07 v2 math.MP
Number Theory
Abstract
We compute numerically eigenvalues and eigenfunctions of the quantum Hamiltonian that describes the quantum mechanics of a point particle moving freely in a particular three-dimensional hyperbolic space of finite volume and investigate the distribution of the eigenvalues.
Cite
@article{arxiv.math-ph/0305048,
title = {Arithmetic quantum chaos of Maass waveforms},
author = {H. Then},
journal= {arXiv preprint arXiv:math-ph/0305048},
year = {2016}
}
Comments
31 pages, 17 figures, 2 tables; typos in eq. (5) and (6) corrected