A solvable quantum many-body problem
quant-ph
Submitted: 2026-10-04
Updated: 2026-10-04
License: http://creativecommons.org/licenses/by/4.0/
The gist: 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
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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