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|Type:||Artigo de periódico|
|Title:||Path integrals and edge corrections for torus maps|
|Abstract:||We derive general path integrals for quantum maps in the torus and discuss the physical interpretation of the Poisson sums that arise, Comparing the case of the cat map with the baker's map we relate the exactness of the semiclassical approximation for the former to the possibility of combining the Poisson sum into a single smooth integral. The processes of taking the trace and the semiclassical approximation for the baker's map do not commute. We derive an approximation that includes edge corrections for the integrals in the map and we obtain some improvement over the usual semiclassical approximation even if only Poisson terms with stationary points are kept.|
|Editor:||Elsevier Science Bv|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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