Shannon Entropy: Axiomatic Characterization and Application

Details Shannon Entropy: Axiomatic Characterization and Application Shannon Entropy: Axiomatic Characterization and Application

2005-11-17

arxiv.org/abs/quant-ph/0511171v1

IJMMS Vol-17,2847-2854 (2005)

Physics

Quantum Physics

11 pages

Scientific paper

We have presented a new axiomatic derivation of Shannon Entropy for a discrete probability distribution on the basis of the postulates of additivity and concavity of the entropy function.We have then modified shannon entropy to take account of observational uncertainty.The modified entropy reduces, in the limiting case, to the form of Shannon differential entropy. As an application we have derived the expression for classical entropy of statistical mechanics from the quantized form of the entropy.

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