有效哈密顿量精确计算的基本例子
Elementary example of exact effective-Hamiltonian computation
摘要：
我们提出了一个精确的计算的有效哈密顿的基本模型从汤川理论得到的限制裸费米子是无限重和裸玻色子是在休息的费米子发射或吸收它们。耦合常数可以任意大。通过求解有效粒子的重整化群过程（RGPEP）的微分方程计算哈密顿量。物理费米子，在模型中定义为有效哈密顿的本征态，得到的有效费米子穿着有效玻色子的相干态的形式。模型计算说明的方法，可用于实际理论的有效哈密顿微扰计算。它显示的机制，微扰膨胀和Tamm-Dancoff近似的精度增加沿RGPEP的演变。
英文摘要：
We present an exact computation of effective Hamiltonians for an elementary model obtained from the Yukawa theory by going to the limit of bare fermions being infinitely heavy and bare bosons being at rest with respect to the fermions that emit or absorb them. The coupling constant can be arbitrarily large. The Hamiltonians are computed by solving the differential equation of the renormalization group procedure for effective particles (RGPEP). Physical fermions, defined in the model as eigenstates of the effective Hamiltonians, are obtained in the form of an effective fermion dressed with a coherent state of effective bosons. The model computation illustrates the method that can be used in perturbative computations of effective Hamiltonians for realistic theories. It shows the mechanism by which the perturbative expansion and Tamm-Dancoff approximation increase in accuracy along the RGPEP evolution.
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