Reply to the Comment on "Resonant Spectra and the Time Evolution of the Survival and Nonescape Probabilities"

Details Reply to the Comment on "Resonant Spectra and the Time Evolution of the Survival and Nonescape Probabilities" Reply to the Comment on "Resonant Spectra and the Time Evolution of the Survival and Nonescape Probabilities"

1998-04-17

arxiv.org/abs/quant-ph/9804041v1

Phys.Rev.Lett. 80 (1998) 4354

Physics

Quantum Physics

1 page, RevTex file, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.4354

In our paper [Phys. Rev. Lett. 74, 337 (1995)], we derived an exact expression for the survival and nonescape probabilities as an expansion in terms of resonant states. It was shown that these quantities exhibit at long times a different behavior. Although both decay as a power law, they have different exponents. In this paper we show that, contrary to the claim in the Comment of R. M. Cavalcanti (quant-ph/9704023), the nonescape probability decay for long times as an inverse power law.

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