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arxiv: math-ph/0305048 · v2 · pith:7IB5GLOSnew · submitted 2003-05-23 · 🧮 math-ph · math.MP· math.NT

Arithmetic quantum chaos of Maass waveforms

classification 🧮 math-ph math.MPmath.NT
keywords quantumeigenvaluesarithmeticchaoscomputedescribesdistributioneigenfunctions
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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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