Reza Alemi Independent researcher, Damghan, Iran alemi_r@yahoo.com International Journal of Fundamental Physical Sciences (IJFPS) 4 4 111-113 December, 2014 2231-8186 https://doi.org/10.14331/ijfps.2014.330074 The purpose of this brief extension is reporting the exact results, by introduction a correlation factor, for the dissipative system which consisting of a particle in one-dimension coupled to a sum of an infinite number of harmonic oscillators. correlation factor, dissipative, discontinuity, time delay https://creativecommons.org/licenses/by/4.0/