Diagonalization scheme for the many-body Schroedinger equation
Nuclear Theory
2017-01-18 v1 Mesoscale and Nanoscale Physics
Quantum Physics
Abstract
A new convenient method to diagonalize the non-relativistic many-body Schroedinger equation with two-body central potentials is derived. It combines kinematic rotations (democracy transformations) and exact calculation of overlap integrals between bases with different sets of mass-scaled Jacobi coordinates, thereby allowing for a great simplification of this formidable problem. We validate our method by obtaining a perfect correspondence with the exactly solvable three-body () Calogero model in 1D.
Cite
@article{arxiv.1701.04684,
title = {Diagonalization scheme for the many-body Schroedinger equation},
author = {Lorenzo Fortunato and Tomohiro Oishi},
journal= {arXiv preprint arXiv:1701.04684},
year = {2017}
}