Classical periodic orbits and quantum mechanical eigenvalues and eigenfunctions |
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| Authors: | G Contopoulos |
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| Institution: | (1) Department of Astronomy, University of Florida, 32611 Gainesville, Fl., U.S.A.;(2) Department of Astronomy, Panepistimiopolis, GR-157 83 Athens, Greece |
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| Abstract: | We have calculated several families of classical periodic orbits in simple Hamiltonian systems of two degrees of freedom and the corresponding quantum mechanical eigenvalues and eigenfuctions. We have found that in most cases the eigenfunctions have their maxima and minima on some simple periodic orbits. These periodic orbits are of several resonant types and can be either stable or unstable. In the latter case the quantum Poincaré surfaces of section are very different from the classical Poincaré surfaces of section. |
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| Keywords: | Chaos periodic orbits eigenvalues eigenfunctions |
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