The Φ-entropy: An information measure for non-Schrödinger type Hamiltonians

  • Ezron John Dy Cabrera National Institute of Physics, University of the Philippines Diliman
  • Eric Alvarez Galapon National Institute of Physics, University of the Philippines Diliman
Keywords: Entropy, Information measure

Abstract

In this paper, a new form of information measure was formulated and was named Φ-entropy which
is of the form I(pi) = ∑ piΦ. This information measure needs to be differentiated first with its
parameter Φ before limiting it to one to derive the Shannon entropy which makes it different to other
information measures that needs only a limiting parameter to derive Shannon entropy. The validity
of the Φ-entropy was also tested using the axiomatic conditions and a probability distribution was
also derived which leads to systems with non-Schrödinger type Hamiltonians.

Published
2017-06-07
Section
Theoretical and Mathematical Physics