Information theoretic measures in Makarov potential

Exact eigenvalue and eigenfunction of non-central Makarov potential is derived for arbitrary quantum states having non-zero angular quantum number. The wave function is obtained in terms of associated Laguerre and Jacobi polynomials using a simple novel procedure. Then information theoretic measures such as Shannon entropy, entropic moment, disequilibrium, Renyi entropy and Fisher information are also derived analytically. Comparative numerical and graphical results are presented for selected low-lying states of Makarov, as well as two special cases, viz., Hartmann and Coulomb potential. In all cases, we have provided expressions for radial, polar angular and total information quantities. Most of the information-related results are presented here for the first time.