Localization effect on Rényi complexity of Kratzer potential in the presence of Aharonov‐Bohm field

Abstract

Exact 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.

Generalized quantum similarity index: An application to pseudoharmonic oscillator with isospectral potentials in 3D

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] Likewise, some oscillator potentials that are closely related to this potential have already been studied a few years ago. [17,18] Recently, bound-state solutions have been obtained for the Kratzer potential, [19,20] Morse, Pöschl-Teller potential, [21] Deng-Fan-Eckart potential, [22] and Aharanov-Bohm magnetic field, [18,19,23] and some of them have been investigated for information theoretic measures and the thermal properties of some molecules.…”

“…Then, we will compare the wave solutions for two quantum systems because the wave nature is important to determine the value of the entropic moments or frequency moments. [19] In particular, the one's complement of second-order frequency moments has been used as a measure of decoherence, [25] entanglement, [26,27] complexity, mixedness [28] of the quantum system, [29] quantum similarity measure (QSM), and quantum similarity index (QSI). [30,31] The QSM is defined as the fact that similar systems must have similar electron distributions and have some common properties.…”

“…All the molecules are assigned an integer number between 1 and 19, which is barely a notation with no other physical meaning, such as 1 for CO, …, 19 for HCl (please see Tables 3 and 4). The set of parameter values for these selected molecules are taken from References [10,19,33,86]. The radial density functions of the ScH, CrH, VH, TiH, and MnH molecules are compared in Figure 5 for the quantum number (2, 1, m).…”

Time correlation function and average energy of molecules in presence of Deng-Fan potential in a moving boundary

“…( 10) are obtained within a recently proposed scheme combining both Pekeris [70] and Greene-Aldrich [71] approximations. This has lead to a very satisfactory treatment of potential throughout the whole domain of consideration [5,25,42,72,73]. Therefore, solution of Eq.…”

Time-correlation function and average energy of molecules in presence of Deng-Fan potential in a moving boundary

“…( 10) are obtained within a recently proposed scheme combining both Pekeris [70] and Greene-Aldrich [71] approximations. This has lead to a very satisfactory treatment of potential throughout the whole domain of consideration [5,25,42,72,73]. Therefore, solution of Eq.…”