三体系统能量双边变分估计中的指数基
Exponential Basis in Two-Sided Variational Estimates of Energy for Three-Body Systems
摘要：
本文用指数型试函数变分法计算了一些非相对论性三体库仑和核系统的能量上、下界。给出了指数基上、下界的计算公式，首次计算了大部分系统的下界。通过对不同基的计算结果的比较，证明了指数试探函数的有效性及其对粒子质量和相互作用的普适性。指数基的优点在质量相当的系统中表现得最为明显，尽管它在单中心和双中心问题中的使用也是合理的。为了有效地求解双中心问题，提出了一种对试函数的骨架修正。分析了各种三粒子库仑系统的稳定性。
英文摘要：
By the use of the variational method with exponential trial functions the upper and lower bounds of energy are calculated for a number of non-relativistic three-body Coulomb and nuclear systems. The formulas for calculation of upper and lower bounds for exponential basis are given, the lower bounds for great part of systems were calculated for the first time. By comparison of calculations for different bases the efficiency of exponential trial functions and their universality in respect to masses of particles and interaction are demonstrated. The advantage of exponential basis manifests mostly evident for the systems with comparable masses, though its use in one-center and two-center problems is justified too. For effective solution of two-center problem a carcass modification of the trial function is proposed. The stability of various three-particle Coulomb systems is analyzed.
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。
