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arXiv math-ph/0305048math-phmath.MPmath.NT
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Arithmetic quantum chaos of Maass waveforms

H. Then

备注：
31 pages, 17 figures, 2 tables; typos in eq. (5) and (6) corrected
发表信息：
In P. Cartier, B. Julia, P. Moussa, and P. Vanhove, (Eds.); Frontiers in Number Theory, Physics, and Geometry; Springer 2006, pp 183--212
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英文摘要：

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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