Scaling properties of composite information measures and shape complexity for hydrogenic atoms in parallel magnetic and electric fields

R. González-Férez, J.S. Dehesa, S.H. Patil and K.D. Sen

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 23, 4919-4925

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.

Keywords: Atoms under external fields; Shannon entropy; Rényi entropy; Fisher information; Shape complexity; Avoided crossings (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:23:p:4919-4925

DOI: 10.1016/j.physa.2009.08.007

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