Nonrelativistic Shannon information entropy for Kratzer potential

doi:10.1088/1674-1056/25/4/040301

中国物理B ›› 2016, Vol. 25 ›› Issue (4): 40301-040301.doi: 10.1088/1674-1056/25/4/040301

Nonrelativistic Shannon information entropy for Kratzer potential

Najafizade S A, Hassanabadi H, Zarrinkamar S

1 Physics Department, University of Shahrood, Shahrood, Iran;
2 Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

收稿日期:2015-11-16 修回日期:2015-12-06 出版日期:2016-04-05 发布日期:2016-04-05
通讯作者: Najafizade S A E-mail:najafizade1816@gmail.com

Nonrelativistic Shannon information entropy for Kratzer potential

Najafizade S A¹, Hassanabadi H¹, Zarrinkamar S²

1 Physics Department, University of Shahrood, Shahrood, Iran;
2 Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Received:2015-11-16 Revised:2015-12-06 Online:2016-04-05 Published:2016-04-05
Contact: Najafizade S A E-mail:najafizade1816@gmail.com

摘要/Abstract

摘要： The Shannon information entropy is investigated within the nonrelativistic framework. The Kratzer potential is considered as the interaction and the problem is solved in a quasi-exact analytical manner to discuss the ground and first excited states. Some interesting features of the information entropy densities as well as the probability densities are demonstrated. The Bialynicki-Birula-Mycielski inequality is also tested and found to hold for these cases.

关键词: Schrödinger equation, Kratzer potential, Shannon entropy

Abstract: The Shannon information entropy is investigated within the nonrelativistic framework. The Kratzer potential is considered as the interaction and the problem is solved in a quasi-exact analytical manner to discuss the ground and first excited states. Some interesting features of the information entropy densities as well as the probability densities are demonstrated. The Bialynicki-Birula-Mycielski inequality is also tested and found to hold for these cases.

Key words: Schrödinger equation, Kratzer potential, Shannon entropy

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

03.67.-a (Quantum information)

Najafizade S A, Hassanabadi H, Zarrinkamar S. Nonrelativistic Shannon information entropy for Kratzer potential[J]. 中国物理B, 2016, 25(4): 40301-040301.

Najafizade S A, Hassanabadi H, Zarrinkamar S. Nonrelativistic Shannon information entropy for Kratzer potential[J]. Chin. Phys. B, 2016, 25(4): 40301-040301.

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Nonrelativistic Shannon information entropy for Kratzer potential

Nonrelativistic Shannon information entropy for Kratzer potential

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