FISHER INFORMATION FOR THE MORSE OSCILLATOR

被引：0

作者：

Chatterjee, Supriya ^{[1
]}

Sekh, Golam Ali ^{[2
]}

Talukdar, Benoy ^{[3
]}

机构：

[1] Bidhannagar Coll, Dept Phys, EB 2,Sect 1, Kolkata 700064, India

[2] Kazi Nazrul Univ, Dept Phys, Asansol 713303, W Bengal, India

[3] Visva Bharati Univ, Dept Phys, Santini Ketan 731235, W Bengal, India

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2020年 / 85卷 / 02期

关键词：

Morse oscillator; Fisher information; information-based uncertainty relation; KINETIC-ENERGY; SYSTEMS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The results for Fisher information of the Morse oscillator have thus far been reported [8] for only the ground state of the system. We make use of the wave functions in [21] to provide a general method for computing Fisher-information values for both bound and excited states of the potential. In order to visualize the effects of anharmonicity, the results of the position- and momentum-space Fisher information for the Morse function are compared with the corresponding results for the harmonic-oscillator problem. While the harmonic-oscillator Fisher information (both position and momentum) increases monotonically with the principal quantum number, the corresponding results for the Morse oscillator first increase and then decrease. Despite that, the Fisher-based uncertainty relation holds for all values of the principal quantum number.

引用

页码：281 / 291

页数：11

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