Arithmetic quantum chaos of Maass waveforms

H. Then

Arithmetic quantum chaos of Maass waveforms

H. Then

Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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.

Original language	English
Title of host publication	Frontiers in Number Theory, Physics and Geometry I : On Random Matrices, Zeta Functions and Dynamical Systems
Publisher	Springer Berlin Heidelberg
ISBN (Print)	3642062199
Publication status	Published - 2006

Keywords

Mathematical Physics
Mathematics - Number Theory
11F72
11Yxx

Access to Document

http://adsabs.harvard.edu/abs/2003math.ph...5048T

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title = "Arithmetic quantum chaos of Maass waveforms",

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.",

keywords = "Mathematical Physics, Mathematics - Number Theory, 11F72, 11Yxx",

author = "H. Then",

year = "2006",

language = "English",

isbn = "3642062199",

booktitle = "Frontiers in Number Theory, Physics and Geometry I : On Random Matrices, Zeta Functions and Dynamical Systems",

publisher = "Springer Berlin Heidelberg",

address = "Germany",

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TY - CHAP

T1 - Arithmetic quantum chaos of Maass waveforms

AU - Then, H.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - Mathematical Physics

KW - Mathematics - Number Theory

KW - 11F72

KW - 11Yxx

UR - https://arxiv.org/abs/math-ph/0305048

M3 - Chapter in a book

SN - 3642062199

BT - Frontiers in Number Theory, Physics and Geometry I : On Random Matrices, Zeta Functions and Dynamical Systems

PB - Springer Berlin Heidelberg

ER -

Arithmetic quantum chaos of Maass waveforms

Abstract

Keywords

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