强光场中电子系统与多光子的相互作用

INTERACTION BETWEEN AN ELECTRONIC SYSTEM AND MULTIPHOTONS IN A STRONG LASER FIELD

在非相对论量子场论框架下 ,给出电子场和光子场相互作用时整个系统的哈密顿量Htot,研究在强光场中非线性项即A2 项的作用 .电子系统用Fermi Dirac统计的Schr dinger量子波场描述 .采用“自洽平均场”和“有效质量”近似 ,并基于位移谐振子的相干态方法 ,得到电子波 光量子场算子函数的Lee Low Pines表式f(b+) ,再利用算子函数 f(b+)对算子b+的微商公式 ,导出了相关理论计算公式 ,其中包括电子能量Ek 和波场参量 βw 的具体表达式 .

Under the framework of nonlinear quantum field theory,we show the total Hamiltonian operator H-tot for the interaction between an electron field and a photon field,and study the contribution of the nonlinear term A(2) in the strong laser field. In this paper,we describe electrons with the Schrodinger quantum wave field of Fermi-Dirac statistics. By applying 'self-consistent mean field','effective mass' approximation and the displaced harmonic oscillator coherent theory,we derive the Lee-Low-Pines expression f(b(+)) of electron wave-photon field operator function. Then using the differential formula of partial derivativef(b+)/partial derivativeb+ we derive some relevant calculating formulas, including detailed expressions of electron energy El and abt wave field parameter beta (w). Furthermore,we also derive self-energy E-k=0 and renormalized mass m** of electrons according to these expressions.