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

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
How to Cite
[1]
E. J. Cabrera and E. Galapon. The Φ-entropy: An information measure for non-Schrödinger type Hamiltonians, Proceedings of the Samahang Pisika ng Pilipinas 35, SPP-2017-1C-02 (2017). URL: https://paperview.spp-online.org/proceedings/article/view/44.
Section
Theoretical and Mathematical Physics