PreprintCC BY 4.0arXiv
A solvable quantum many-body problem
Abstract
A many-body wavefunction exponential in R, where the square of R is the sum of the squares of the interparticle distances, is shown to be the solution of Schrodingers equation for a potential proportional to the reciprocal of R, for N particles. A set of translationally invariant rotational eigenstates of angular momentum is found.
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BibTeX
@misc{lekner2026solvable,
title = {{A solvable quantum many-body problem}},
author = {John Lekner},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05593},
eprint = {2610.05593},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05593},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A solvable quantum many-body problem
AU - John Lekner
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.05593
UR - https://arxiv.org/abs/2610.05593
AB - A many-body wavefunction exponential in R, where the square of R is the sum of the squares of the interparticle distances, is shown to be the solution of Schrodingers equation for a potential proportional to the reciprocal of R, for N particles. A set of translationally invariant rotational eigenstates of angular momentum is found.
ER -