A chainlike relative coordinate system for few-particle problems

TY - JOUR

T1 - A chainlike relative coordinate system for few-particle problems

AU - Avery, James Emil

AU - Avery, John Scales

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

AB - 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.

U2 - 10.1007/s10910-016-0696-6

DO - 10.1007/s10910-016-0696-6

M3 - Journal article

SN - 0259-9791

VL - 55

SP - 584

EP - 597

JO - Journal of Mathematical Chemistry

JF - Journal of Mathematical Chemistry

IS - 2

ER -