The Wigner flow on the sphere

Yang Popo; Valtierra Ivan F.; Klimov Andrei B.; Wu Shin-Tza; Lee Ray-Kuang; Sanchez-Soto Luis L.; Leuchs Gerd

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The Wigner flow on the sphere

机译：Wigner在球体上流动

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摘要

We derive a continuity equation for the evolution of the SU(2) Wigner function under nonlinear Kerr evolution. We give explicit expressions for the resulting quantum Wigner current, and discuss the appearance of the classical limit. We show that the global structure of the quantum current significantly differs from the classical one, which is clearly reflected in the form of the corresponding stagnation lines.

机译：我们在非线性克尔演化下获得了苏（2）Wigner功能的演变的连续性方程。我们给出了所得量子Wigner电流的明确表达，并讨论了经典极限的外观。我们表明量子电流的全局结构显着与经典的电流不同，这显然以相应的停滞线的形式清晰地反映。

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来源
《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2019年第4期|共7页
作者
Yang Popo; Valtierra Ivan F.; Klimov Andrei B.; Wu Shin-Tza; Lee Ray-Kuang; Sanchez-Soto Luis L.; Leuchs Gerd;
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作者单位

Natl Tsing Hua Univ Dept Phys Hsinchu 300 Taiwan;

Univ Guadalajara Dept Fis Guadalajara 44420 Jalisco Mexico;

Univ Guadalajara Dept Fis Guadalajara 44420 Jalisco Mexico;

Natl Chung Cheng Univ Dept Phys Chiayi 621 Taiwan;

Natl Tsing Hua Univ Dept Phys Hsinchu 300 Taiwan;

Univ Complutense Fac Fis Dept Opt E-28040 Madrid Spain;

Max Planck Inst Phys Lichts Staudtstr 2 D-91058 Erlangen Germany;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Wigner function; Wigner flow; phase space;

机译：Wigner功能;Wigner流;相空间;

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专利

1. The Wigner flow on the sphere [J] . Yang Popo, Valtierra Ivan F., Klimov Andrei B., Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2019,第4期

机译：Wigner在球体上流动
2. Wigner’s Space-Time Symmetries Based on the Two-by-Two Matrices of the Damped Harmonic Oscillators and the Poincaré Sphere [J] . Marilyn E. Noz, Sibel Ba#x0015F, kal, Symmetry . 2014,第3期

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3. Evaluation of Charge Displacement and the Radii of Wigner-Seitz Spheres for the Components of A-Te (A = Ge, Sn, Pb) Melts [J] . E. A. Dolgopolova Inorganic materials . 2008,第6期

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4. Ambiguity function and Wigner distribution on the sphere [C] . Khalid, Zubair IEEE International Conference on Acoustics, Speech and Signal Processing;ICASSP . 2012

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The Wigner flow on the sphere

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