论文标题
使用不同尺寸的谐波振荡器底座的量子三个身体问题
Quantum three body problems using harmonic oscillator bases with different sizes
论文作者
论文摘要
我们为量子三体问题提出了一种新的治疗方法。它基于在jacobi坐标中具有不同大小的谐波振荡器函数上波函数的扩展。可以在没有任何近似值的情况下计算哈密顿的矩阵元素，并且精度仅受基础的尺寸限制。无论考虑的系统如何，都可以应用此方法。在某些情况下，与旧的传统方法相比，在该新方案中，收敛属性大大提高。还提出了一些减少计算机时间的数字技巧。
We propose a new treatment for the quantum three-body problem. It is based on an expansion of the wave function on harmonic oscillator functions with different sizes in the Jacobi coordinates. The matrix elements of the Hamiltonian can be calculated without any approximation and the precision is restricted only by the dimension of the basis. This method can be applied whatever the system under consideration. In some cases, the convergence property is greatly improved in this new scheme as compared to the old traditional method. Some numerical tricks to reduce computer time are also presented.
