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Descripción
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| The short periodic orbit (PO) approach was developed in order to understand the struture of stationary states of quantum autonomous Hamiltonian systems corresponding to a classical chaotic Hamiltonian. In this chapter, we will describe the method for the case of a two-dimensional chaotic billiard where the Schrodinger equation reduces to the Helmholtz equation; then, it can directly be applied to evaluate the acoustic eigenfunctions of a two-dimensional cavity. This method consists of the short-wavelength construction of a basis of wavefunctions related to unstable short POs of the billiard, and the evaluation of matrix clements of the Laplacian in order to specify the eigenfunctions. | |
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Internacional
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Si |
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DOI
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Edición del Libro
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1 |
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Editorial del Libro
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Cambridge University Press |
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ISBN
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978-0-521-88508-9 |
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Serie
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Título del Libro
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New Directions in Linear Acoustics and Vibration - Quantum Chaos, Random Matrix Theory and Complexity |
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Desde página
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77 |
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Hasta página
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95 |