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Localization effect on Rényi complexity of Kratzer potential in the presence of Aharonov‐Bohm field
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2020-09-14 , DOI: 10.1002/qua.26461 Piu Ghosh 1 , Debraj Nath 2
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2020-09-14 , DOI: 10.1002/qua.26461 Piu Ghosh 1 , Debraj Nath 2
Affiliation
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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.
中文翻译：
Aharonov-Bohm场存在下本地化对Kratzer势Rényi复杂性的影响
在存在拉格诺尔和雅可比多项式的Aharonov-Bohm通量场下，获得了非中心Kratzer势的精确波函数。确定正积分阶和绝对积分阶的Rényi熵的精确形式和广义Rényi复杂度， 分别。对于Rényi熵的最佳度量，最窄的限制波及最宽的径向波函数决定了旋转波函数的定位特性。分别对最窄的限制径向波函数和最宽的径向波函数求出Rényi熵的最小值和最大值。相反，最窄的限制和最宽的旋转波函数支配径向波函数的定位特性，以最佳地度量广义Rényi和形状Rényi复杂度。如果对于最窄的限制旋转波函数，广义Rényi和形状Rényi复杂度最小，那么对于最宽的旋转波函数，它们的复杂度将最大，反之亦然。
更新日期：2020-09-14
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.
中文翻译：
Aharonov-Bohm场存在下本地化对Kratzer势Rényi复杂性的影响
在存在拉格诺尔和雅可比多项式的Aharonov-Bohm通量场下，获得了非中心Kratzer势的精确波函数。确定正积分阶和绝对积分阶的Rényi熵的精确形式
和广义Rényi复杂度， 分别。对于Rényi熵的最佳度量，最窄的限制波及最宽的径向波函数决定了旋转波函数的定位特性。分别对最窄的限制径向波函数和最宽的径向波函数求出Rényi熵的最小值和最大值。相反，最窄的限制和最宽的旋转波函数支配径向波函数的定位特性，以最佳地度量广义Rényi和形状Rényi复杂度。如果对于最窄的限制旋转波函数，广义Rényi和形状Rényi复杂度最小，那么对于最宽的旋转波函数，它们的复杂度将最大，反之亦然。
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