A chainlike relative coordinate system for few-particle problems

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• 作者：James Emil Avery ; John Scales Avery
• 关键词：Few ; particle quantum systems ; Coulomb Sturmians ; Non ; Born–Oppenheimer calculations ; N ; body problem ; Laplace–Beltrami operator ; Yukawa potentials
• 刊名：Journal of Mathematical Chemistry
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：55
• 期：2
• 页码：584-597
• 全文大小：
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Physical Chemistry; Theoretical and Computational Chemistry; Math. Applications in Chemistry;
• 出版者：Springer International Publishing
• ISSN：1572-8897
• 卷排序：55

文摘

Jacobi coordinates have often been used to treat few-particle quantum systems. In this paper, we propose an alternative coordinate system which is very easily generalized as the number of particles becomes larger. We make use of forms of the Laplace–Beltrami operator that are invariant under general coordinate transformations, and use Coulomb Sturmian basis sets to solve the N-body wave equation.