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artículo con referato
"Semiclassical Construction of Resonances with Hyperbolic Structure. The Scar Function"
E. Vergini and G. Carlo
J. Phys. A: Math. Theor. 34(21) (2001) 4525-4552
The formalism of resonances in quantum chaos is improved by using conveniently defined creation-anihilation operators. With these operators at hand, we are able to construct transverse excited resonances at a given Bohr-quantized energy. Then, by requiring minimum energy dispersion we obtain solutions in terms of even or odd transverse excitations. These wave functions, which are constructed in the vicinity of a periodic orbit with maximum energy localization, provide a precise definition of scar function. These scar functions acquire, in the semiclassical limit, the hyperbolic structure characteristic of unstable periodic orbits.
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