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Descripción
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| The short periodic orbit approach is adapted for the quantum cat maps. The main objective is to explain, in a simple abstract model, the most relevant characteristics of this method which was originally developed for Hamiltonian fluxes. In particular, we describe a semiclassical Hamiltonian formulation to evaluate eigenphases and eigenstates of quantum cat maps. The main advantage of this formulation is that each eigenstate is described in terms of a small number, N/ln N, of short periodic orbits, with N the dimension of the Hilbert space. Moreover, matrix elements can be obtained semiclassically with high accuracy in terms of a very small number, of the order of ln2N, of homoclinic and heteroclinic orbits. From the computational point of view, this approach reduces the size of matrices used to the order N/ln N | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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Journal of Physics A-Mathematical and Theoretical |
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ISSN
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1751-8113 |
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Factor de impacto JCR
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1,68 |
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Información de impacto
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Volumen
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41 |
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DOI
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10.1088/1751-8113/41/40/405102 |
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Número de revista
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40 |
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Desde la página
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405102 |
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Hasta la página
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1-24 |
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Mes
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OCTUBRE |
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Ranking
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