Information entropies for H2 and ScF diatomic molecules with Deng- Fan-Eckart potential

被引：5

作者：

Amadi, P. O. ^{[1
]}

Ikot, A. N. ^{[1
,2
]}

Rampho, G. J. ^{[2
]}

Okorie, U. S. ^{[1
]}

Abdullah, Hewa Y. ^{[3
]}

Lutfuoglu, B. C. ^{[4
,5
]}

机构：

[1] Univ Port Harcourt, Dept Phys, Theoret Phys Grp, PHB 5323, Port Harcourt, Nigeria

[2] Univ South Africa, Dept Phys, ZA-1710 Johannesburg, South Africa

[3] Tishk Int Univ, Fac Educ, Dept Phys Educ, Erbil 44001, Iraq

[4] Akdeniz Univ, Dept Phys, TR-07058 Antalya, Turkey

[5] Univ Hradec Kralove, Dept Phys, Hradec Kralove 50003, Czech Republic

来源：

REVISTA MEXICANA DE FISICA | 2020年 / 66卷 / 06期

关键词：

Information entropies; Shannon entropy; fisher information; Deng-Fan-Eckart potential; uncertainty relations; FISHER INFORMATION; POSITION; SYSTEMS; COULOMB;

D O I：

10.31349/RevMexFis.66.742

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the Shannon entropy and Fisher information is investigated with molecular Deng-Fan-Eckart potential for the diatomic molecules H-2 and Shannon entropy and Fisher in position and momentum spaces in three dimensions. Due to the difficulty in obtaining the Fourier transform of the wave function in the momentum space, we considered only two low lying states corresponding to the ground and first excited states. The results are obtained numerically for these diatomic molecules. Localization is observed for the Shannon entropy and delocalization for the Fisher information for the two diatomic molecules considered in position and momentum spaces. The Shannon entropy and the Fisher information measures for the two diatomic molecules satisfied the Bialynicki-Birula and Mycielski and the Stam-Cramer-Rao inequalities uncertainty relation, respectively.

引用

页码：742 / 748

页数：7

共 53 条

[1]

Abdel-Hady A., 2018, APPL MATH INFORM SCI, V12, P717, DOI [DOI 10.18576/AMIS/120406, 10.18576/amis/120406]

[2] Scaling behaviour of Fisher and Shannon entropies for the exponential-cosine screened coulomb potential [J].

Abdelmonem, M. S. ;

Abdel-Hady, Afaf ;

Nasser, I. .

MOLECULAR PHYSICS, 2017, 115 (13) :1480-1492

[3] Shannon entropy and Fisher information for screened Kratzer potential [J].

Amadi, Precious O. ;

Ikot, Akpan N. ;

Ngiangia, Alalibo T. ;

Okorie, Uduakobong S. ;

Rampho, Gaotsiwe J. ;

Abdullah, Hewa Y. .

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2020, 120 (14)

[4] UNCERTAINTY RELATIONS FOR INFORMATION ENTROPY IN WAVE MECHANICS [J].

BIALYNICKIBIRULA, I ;

MYCIELSKI, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 44 (02) :129-132

[5]

Brown C., 2014, FORD STANDARD LEVEL

[6]

Chakraborty D., 2012, Statistical Complexity: Applications in Electronic Structure

[7] Information Theory of D-Dimensional Hydrogenic Systems: Application to Circular and Rydberg States [J].

Dehesa, J. S. ;

Lopez-Rosa, S. ;

Martinez-Finkelshtein, A. ;

Yanez, R. J. .

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2010, 110 (08) :1529-1548

[8]

Dong Q., 2018, LASER PHYS LETT, V15, DOI [10.1007/s11467-018-0876-x, DOI 10.1007/S11467-018-0876-X]

[9] Quantum information entropies for a squared tangent potential well [J].

Dong, Shishan ;

Sun, Guo-Hua ;

Dong, Shi-Hai ;

Draayer, J. P. .

PHYSICS LETTERS A, 2014, 378 (03) :124-130

[10] Thermal properties of Deng-Fan-Eckart potential model using Poisson summation approach [J].

Edet, C. O. ;

Okorie, U. S. ;

Osobonye, G. ;

Ikot, A. N. ;

Rampho, G. J. ;

Sever, R. .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2020, 58 (05) :989-1013

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