Arithmetic quantum chaos of Maass waveforms

Details Arithmetic quantum chaos of Maass waveforms Arithmetic quantum chaos of Maass waveforms

2003-05-23

arxiv.org/abs/math-ph/0305048v2

In P. Cartier, B. Julia, P. Moussa, and P. Vanhove, (Eds.); Frontiers in Number Theory, Physics, and Geometry; Springer 2006,

Physics

Mathematical Physics

31 pages, 17 figures, 2 tables; typos in eq. (5) and (6) corrected

Scientific paper

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.

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