arXiv subjects

O. V. Manko

Publications and source records attributed to O. V. Manko.

2 recordsLinked to original sources

arXiv2017

New information and entropic inequalities for Clebsch-Gordan coefficients

The Clebsch-Gordan coefficients of the group SU(2) are shown to satisfy new inequalities. They are obtained using the properties of Shannon and Tsallis entropies. The inequalities associated with the Wigner 3-j symbols are obtained using the relation of Clebsch-Gordan coefficients with probability distributions interpreted either as distributions for composite systems or distributions for noncomposite systems. The new inequalities were found for Hahn polynomials and hypergeometric functions

quant-ph↗

arXiv1999

Remarks on the Charged, Magnetized Tomimatsu-Sato $δ=2$ Solution

The full metric describing a charged, magnetized generalization of the Tomimatsu-Sato (TS) $δ=2$ solution is presented in a concise explicit form. We use it to investigate some physical properties of the solution; in particular, we point out the existence of naked ring singularities in the hyperextreme TS metrics, the fact previously overlooked by the researchers, and we also demonstrate that the ring singularities can be eliminated by sufficiently strong magnetic fields in the subextreme case, while in the hyperextreme case the magnetic field can move singularities to the equatorial plane.

gr-qc↗