Abstract

AbstractExact wave functions are obtained for noncentral Kratzer potential in the presence of Aharonov‐Bohm flux field in terms of associate Laguerre and Jacobi polynomials. The exact form of Rényi entropy and generalized Rényi complexity are determined for positive integral order and , respectively. The narrowest confined and widest spread radial wave functions dominate the localization property of rotational wave functions for the optimum measure of Rényi entropy. The minimum and the maximum values of the Rényi entropy are found for the narrowest confined and widest spread radial wave functions, respectively. Conversely, the narrowest confined and widest spread rotational wave functions dominate the localization property of radial wave functions for the optimum measure of the generalized Rényi and shape Rényi complexities. If the generalized Rényi and shape Rényi complexities are minimum for the narrowest confined rotational wave function, then they will be maximum for the widest spread rotational wave function and vice versa.

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