Comment on ``Resonant Spectra and the Time Evolution of the Survival and Nonescape Probabilities''

R. M. Cavalcanti

备注：: 1 page, REVTEX, submitted to Phys. Rev. Lett
发表信息：: Phys.Rev.Lett. 80 (1998) 4353
DOI：: 10.1103/PhysRevLett.80.4353

英文摘要：

In [G. Garcia-Calderon, J. L. Mateos, and M. Moshinsky, Phys. Rev. Lett. 74, 337 (1995)], the time evolution of the quantum decay of a state initially located within an interaction region of finite range was investigated. In particular, it was shown that the survival and nonescape probabilities behave differently at very large times. The purpose of this Comment is to show that they have the same asymptotic behavior.

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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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