Derivation of a Transport Equation for Line Radiation Using the Wigner Phase Space Formalism

Rosato J.

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Derivation of a Transport Equation for Line Radiation Using the Wigner Phase Space Formalism

机译：使用Wigner期间形式主义推导出线辐射的传输方程

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A transport equation for dipole radiation is derived from quantum electrodynamics. The radiation field is described in terms of a space-time Wigner function, which accounts for the position-momentum and time-energy Heisenberg uncertainty relations on an equal footing. The formalism involves the Heisenberg equations of motion for the quantized electric field and the polarization density. It is shown that the radiative transfer equation introduced phenomenologically in textbooks holds at the large spectral band limit, which is characteristic of a slowly varying radiation field in a medium with slowly varying emission and absorption coefficients.

机译：偶极辐射的传输方程来自量子电动力学。辐射场根据时空Wigner函数描述，其考虑了位置动量和时间能量的Heisenberg在相等基础上的不确定性关系。形式主义涉及对量化电场和偏振密度的Heisenberg运动方程。结果表明，在教科书中引入的辐射传递方程在大谱带限制上，其在具有缓慢变化的发射和吸收系数的介质中的缓慢变化的辐射场的特征。

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《Jorunal of computational and theoretical transport》 |2018年第7期|共10页
作者
Rosato J.;
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作者单位

Aix Marseille Univ Lab PIIM Marseille France;

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原文格式 PDF
正文语种 eng
中图分类理论物理学;
关键词
Photon transport; radiation transport; radiative transfer; transport equation;

机译：光子运输;辐射运输;辐射转移;传输方程;

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1. Derivation of a Transport Equation for Line Radiation Using the Wigner Phase Space Formalism [J] . Rosato J. Jorunal of computational and theoretical transport . 2018,第1a7期

机译：使用Wigner期间形式主义推导出线辐射的传输方程
2. The Weyl-Wigner-Moyal Formalism on a Discrete Phase Space. I. A Wigner Function for a Nonrelativistic Particle with Spin [J] . Maciej Przanowski, Jaromir Tosiek, Francisco J. Turrubiates Fortschritte der Physik . 2019,第12期

机译：离散相空间的Weyl-Wigner-Moyy形式主义。 I.一种与旋转的非椭圆粒子的Wigner功能
3. Formulation of a phase space exponential operator for the Wigner transport equation accounting for the spatial variation of the effective mass [J] . Lukas Schulz, Dirk Schulz Journal of Computational Electronics . 2020,第4期

机译：用于Wigner传输方程的相位空间指数运算符的制定核算有效质量的空间变化
4. Comparison of phase retrieval techniques based on the transport of intensity equation using equally and unequally spaced plane separation criteria [C] . J. Martinez-Carranza, K. Falaggis, M. Jozwik, Interferometry conference . 2014

机译：比较基于等式和不等距平面分离准则的强度方程传输的相位检索技术
5. Quantum transport in semiconductor heterostructures using density-matrix and Wigner-function formalisms. [D] . Jonasson, Olafur. 2016

机译：使用密度矩阵和维格纳函数形式主义的半导体异质结构中的量子传输。
6. A WENO-solver combined with adaptive momentum discretization for the Wigner transport equation and its application to resonant tunneling diodes [O] . Antonius Dorda, Ferdinand Schürrer -1

机译：WENO求解器与自适应动量离散化相结合的Wigner输运方程及其在共振隧穿二极管中的应用
7. The Weyl‐Wigner‐Moyal Formalism on a Discrete Phase Space. I. A Wigner Function for a Nonrelativistic Particle with Spin [O] . Maciej Przanowski, Jaromir Tosiek, Francisco J. Turrubiates 2019

机译：离散相空间的Weyl-Wigner-Moyy形式主义。 I.一种与旋转非椭圆的颗粒的Wigner功能
8. Phase-space formalism: Operational calculus and solution of evolution equations in phase-space [R] . Dattoli, G. , Torre, A. 1995

机译：相空间形式：相空间中的运算微积分和演化方程的解

Derivation of a Transport Equation for Line Radiation Using the Wigner Phase Space Formalism

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