Third order information measure describing a perturbed two-level system

  • Ezron John Dy Cabrera National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

In this paper, we formulate a new measure of information measure that satisfies the validity conditions given by the Khinchin axioms. This new form of information measure is derived from the Hierarchy of information measures which is a differential equation of the form (dn-1/dΦn-1)IΦ[n](pᵢ) = Ni=1 pᵢΦ ln(pᵢ) where we refer n as the order of information measure. Here, we will consider the third n=3 order information measure. The corresponding Statistical mechanics will be derived using Jaynes' Maximum Entropy Principle. The derived probability distribution will then be applied to a perturbed two-level system.

Published
2019-05-23
How to Cite
[1]
E. J. Cabrera and E. Galapon. Third order information measure describing a perturbed two-level system, Proceedings of the Samahang Pisika ng Pilipinas 37, SPP-2019-3G-04 (2019). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2019-3G-04.
Section
Theoretical and Mathematical Physics