离散振子表示中的T矩阵
T-matrix in discrete oscillator representation
摘要：
本文研究了离散振子表象中束缚态和连续谱态的T矩阵。研究的是一个模型问题--中心势场中的粒子。一个系统的线性方程推导出确定系数的T-矩阵展开的振荡器功能。我们选择了四个潜在的（高斯，指数，汤川，和方井的），以证明的T-矩阵的特性和它的依赖于潜在的形状。我们还研究了T矩阵展开系数如何依赖于振子基的参数，如振子长度和计算中涉及的基函数的数量。
英文摘要：
We investigate T-matrix for bound and continuous-spectrum states in the discrete oscillator representation. The investigation is carried out for a model problem - the particle in the field of a central potential. A system of linear equations is derived to determine the coefficients of the T-matrix expansion in the oscillator functions. We selected four potentials (Gaussian, exponential, Yukawa, and square-well ones) to demonstrate peculiarities of the T-matrix and its dependence on the potential shape. We also study how the T-matrix expansion coefficients depend on the parameters of the oscillator basis such as the oscillator length and the number of basis functions involved in calculations.
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