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|Type:||Artigo de periódico|
|Title:||ONE-DIMENSIONAL ACTION BILLIARDS AND EIGENVALUES OF TRUNCATED HAMILTONIANS|
|Abstract:||The eigenvalues of a simple one-dimensional Hamiltonian matrix are studied in the framework of 'action billiards'. We show that the effect of truncating the quantum matrix can be understood in terms of the underlying truncated classical dynamics. The exact spectrum is compared to that of the truncated matrix and the WKB approximation for the billiard. The point where the different calculations start to deviate from one another corresponds to the energy of the first orbit hitting the billiard boundary. Above this energy the truncated spectrum shows quasi-degeneracies, not present in the exact spectrum, due to quantum tunneling between disjoint parts of the classical orbits.|
|Editor:||Elsevier Science Bv|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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