在强光场中低能电子的动力学

Dynamics of Low Energy Electronic System in Strong Light Field

在量子场论框架和非相对论近似下，给出电子场和光子场相互作用时整个系统的哈密顿量 Ｈ_tot，研究在强光场中非线性项即Ａ~2项的贡献．电子系统用Fermi-Dirac统计的Schrodinger量子波场描述．采用“自洽平均场”和“有效质量”近似，并基于相干态方法，得到电子波－光量子场算子函数的ＬＬＰ表式f（ｂ^+），并导出了有关理论计算公式，其中包括电子能量Ek已和波场参量β_w的表达式；据此可进一步计算电子自能和重整化电子有效质量等各有关动力学量．

Under the framework of quantum field theory and non-relativistic approximation, we show the total Hamiltonian operator H_tot, for the interaction between electron field and photon field and study the contribution of the nonlinear term A^2 in strong light field. Electrons with the Schrodinger quantum wave field of Fermi-Dirac statistics are described. By applying 'Self- consistent average field', 'Effective mass 'l approximation and coherent-state theory, LLP expression f(b^+) for the function is derived, which is the electron wave- photon field operator function. Then some relevant calculation formulas, Including expressions of electron energy E_k, and wave field parameter β_w are also derived. From these formulas, one can get self-energy E_k=0, and renormalized mass m of electrons.