Article ID Journal Published Year Pages File Type
978470 Physica A: Statistical Mechanics and its Applications 2009 7 Pages PDF
Abstract
The scaling properties of various composite information-theoretic measures (Shannon and Rényi entropy sums, Fisher and Onicescu information products, Tsallis entropy ratio, Fisher-Shannon product and shape complexity) are studied in position and momentum spaces for the non-relativistic hydrogenic atoms in the presence of parallel magnetic and electric fields. Such measures are found to be invariant at the fixed values of the scaling parameters given by s1=Bħ3(4πϵ0)2Z2m2e3 and s2=Fħ4(4πϵ0)3Z3e5m2. Numerical results which support the validity of the scaling properties are shown by choosing the representative example of the position space shape complexity. Physical significance of the resulting scaling behavior is discussed.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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