2009/05/01 by Rosario González‐Férez, R González-Férez, J. S. Dehesa +2 · 27 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Electric field #Entropy (arrow of time) #Fisher information #Geometry #Invariant (physics) #Mathematics #Physics #Position and momentum space #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Scaling #Statistical Mechanics and Entropy #Statistical physics #Statistics #physics.atom-ph #physics.chem-ph
paper · pdf · doi:10.1016/j.physa.2009.08.007
published in Physica A Statistical Mechanics and its Applications 388(23), 4919-4925 (Elsevier BV) · 10 pages, 2 figures
arxiv created 2009/05/01 · openalex publication_date 2009/08/13 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 = B ℏ3(4πε0)2 / (Z2m2e3) and s2 = F ℏ4(4πε0)3 / (Z3e5m2). 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 behaviour is discussed.