Relativistic effects on information measures for hydrogen-like atoms

• Published in: Journal of computational and applied mathematics Vol. 233; no. 6; pp. 1399 - 1415
• Main Authors: Katriel, Jacob, Sen, K.D.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Kidlington Elsevier B.V 15.01.2010; Elsevier
• Subjects: Exact sciences and technology; Fisher information measure; Heisenberg uncertainty relation; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Operator theory; Relativistic H atom; Sciences and techniques of general use; Shannon and Rényi entropies; Statistical complexity; Shannon and Rényi entropies; Relativistic H atom; Statistical complexity; Heisenberg uncertainty relation; Fisher information measure; Numerical analysis; Applied mathematics; Entropy; Complexity measure; Self adjoint operator; Variance

Position and momentum information measures are evaluated for the ground state of the relativistic hydrogen-like atoms. Consequences of the fact that the radial momentum operator is not self-adjoint are explicitly studied, exhibiting fundamental shortcomings of the conventional uncertainty measures i...