谐振子基变分计算中的红外和紫外截止
Infrared and ultraviolet cutoffs in variational calculations with a harmonic oscillator basis
摘要：
我从最近的出版物[1]的动机，分析和结论的紫外和红外动量调节器的研究引起的必要截断的模型空间形成的变分试验波函数。该试函数是基于三维谐振子（HO）函数从一组完整的多体基态系统地构建的。每个模型空间由展开的截断定义，该展开由计数数（N）和HO基的固有尺度（$\hbarω$）表征。将uv截止值扩展到无穷大和将ir截止值扩展到零是为了收敛计算而规定的。在[1]中，我们建立了实用的程序，利用这些调节器从模型空间的计算序列中获得外推结果。最后，我通过提及自[1]提交以来出现的关于我们的外推处方的最近工作来更新这个主题。选择的数值例子包括计算的基态能量的triton与“裸”和“软”爱达荷N3LO核子核子（NN）的相互作用。
英文摘要：
I abstract from a recent publication [1] the motivations for, analysis in and conclusions of a study of the ultraviolet and infrared momentum regulators induced by the necessary truncation of the model spaces formed by a variational trial wave function. This trial function is built systematically from a complete set of many-body basis states based upon three-dimensional harmonic oscillator (HO) functions. Each model space is defined by a truncation of the expansion characterized by a counting number (N) and by the intrinsic scale ($\hbarω$) of the HO basis. Extending both the uv cutoff to infinity and the ir cutoff to zero is prescribed for a converged calculation. In [1] we established practical procedures which utilize these regulators to obtain the extrapolated result from sequences of calculations with model spaces. Finally, I update this subject by mentioning recent work on our extrapolation prescriptions which have appeared since the submission of [1]. The numerical example chosen for this contribution consists of calculations of the ground state energy of the triton with the "bare" and "soft" Idaho N3LO nucleon-nucleon (NN) interaction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
