Some features of the statistical complexity, Fisher-Shannon information and Bohr-like orbits in the quantum isotropic harmonic oscillator

Sanudo J; Lopez-Ruiz R

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Some features of the statistical complexity, Fisher-Shannon information and Bohr-like orbits in the quantum isotropic harmonic oscillator

机译：各向同性谐振子中统计复杂度，Fisher-Shannon信息和类玻尔轨道的某些特征

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The Fisher-Shannon information and a statistical measure of complexity are calculated in position and momentum spaces for the wavefunctions of the quantum isotropic harmonic oscillator. We show that these quantities are independent of the strength of the harmonic potential. Moreover, for each level of energy, it is found that these two indicators take their minimum values on the orbitals that correspond to the classical (circular) orbits in the Bohr-like quantum image, just those with the highest orbital angular momentum.

机译：对于量子各向同性谐振子的波函数，在位置和动量空间中计算了Fisher-Shannon信息和复杂性的统计量度。我们表明，这些数量与谐波电位的强度无关。而且，对于每个能级，发现这两个指示符在与类玻尔量子图像中的经典（圆形）轨道相对应的轨道上取其最小值，只是那些轨道角动量最大的轨道。

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《Journal of physics, A. Mathematical and theoretical》 |2008年第26期|共7页
作者
Sanudo J; Lopez-Ruiz R;
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正文语种 eng
中图分类物理学;
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MATHEMATICAL-THEORY; ENTROPIES; COMMUNICATION;

机译：数学理论;熵;通信;

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1. Some features of the statistical complexity, Fisher-Shannon information and Bohr-like orbits in the quantum isotropic harmonic oscillator [J] . Sanudo J, Lopez-Ruiz R Journal of physics, A. Mathematical and theoretical . 2008,第26期

机译：各向同性谐振子中统计复杂度，Fisher-Shannon信息和类玻尔轨道的某些特征
2. Exact wave functions from classical orbits: The isotropic harmonic oscillator and semiclassical applications - art. no. 042110 [J] . Kay KG. Physical Review, A. Atomic, molecular, and optical physics . 2001,第4期

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Some features of the statistical complexity, Fisher-Shannon information and Bohr-like orbits in the quantum isotropic harmonic oscillator

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