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In this note we generalize entropy based on the quantum mechanicalprobability density distribution. Motivated by J. Munkhammar and theuncertainty of entropy we modified the origin wave function of the testparticle. The corrected one acting on the quantum particle is subject to theuncertainty principle. Considering the uncertain relation, the correctedprobability of the particle for measurement on holographic screen has beenproposed. We also derivate the speed of information transfer described by wavefunction. Our quantum approach to entropy stress the information in a physicalsystem is directly associated with its quantum mechanical entropy defined bythe equality of the partition function.

The modified wave function of test particle approaching holographic screen from entropy force