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arXiv 1807.02018physics.plasm-phcond-mat.stat-mech
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强laser脉冲传输的经典和量子模型的变分形式

Variational formulation of classical and quantum models for intense laser pulse propagation

Simon Berman, Cristel Chandre, Jonathan Dubois, François Mauger, Maxime Perin, Turgay Uzer

摘要:

我们考虑强激光脉冲通过气体传播的理论描述。从第一性原理描述的电磁场和气体原子内的电子运动,我们推导出一个层次的简化模型。我们得到了一组平行的模型,其中原子电子被视为经典的一方面,和量子力学的其他。通过在拉格朗日公式或哈密顿公式中一致地工作,我们确保我们的简化模型保持父模型的变分结构。利用哈密顿公式,我们推导出一些守恒量的约化模型。

英文摘要:

We consider the theoretical description of intense laser pulses propagating through gases. Starting from a first-principles description of both the electromagnetic field and the electron motion within the gas atoms, we derive a hierarchy of reduced models. We obtain a parallel set of models, where the atomic electrons are treated classically on the one hand, and quantum-mechanically on the other. By working consistently in either a Lagrangian formulation or a Hamiltonian formulation, we ensure that our reduced models preserve the variational structure of the parent models. Taking advantage of the Hamiltonian formulation, we deduce a number of conserved quantities of the reduced models.

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