标题： 直接T矩阵方法确定量子束缚系统的电极化率 显示英文标题

标题： Direct T-Matrix Approach to Determination of the Electric Polarizabilities of Quantum Bound Systems

摘要： 基于动量空间跃迁矩阵的量子（原子和核）束缚体系电多极极化率的新通用形式化方法已被提出。与应用全Green函数谱展开的传统方法不同，我们的方法不需要预先确定整个未扰谱；相反，它可以通过求解基态束缚波函数和负能跃迁矩阵的积分方程直接计算少体束缚复合物的极化率，这两个都是动量的实函数。推导并研究了由中心相互作用势形成的双体束缚复合物的多极极化率公式。为了验证所发展的$T$-矩阵形式化方法，将其应用于氢原子偶极、四极和八极极化率的计算。 显示英文摘要

摘要： A new general formalism for determining the electric multipole polarizabilities of quantum (atomic and nuclear) bound systems based on the use of the transition matrix in momentum space has been developed. As distinct from the conventional approach with the application of the spectral expansion of the total Green's function, our approach does not require preliminary determination of the entire unperturbated spectrum; instead, it makes possible to calculate the polarizability of a few-body bound complex directly based on solving integral equations for the wave function of the ground bound state and the transition matrix at negative energy, both of them being real functions of momenta. A formula for the multipole polarizabilities of a two-body bound complex formed by a central interaction potential has been derived and studied. To test, the developed $T$-matrix formalism has been applied to the calculation of the dipole, quadrupole and octupole polarizabilities of the hydrogen atom.