Explicit Bound States for Certain N-Body Hamiltonians

TL;DR

This paper constructs explicit bound state wave functions and energies for specific one-dimensional N-body Hamiltonians, analogous to atomic systems, providing concrete solutions for these quantum models.

Contribution

It introduces explicit bound state solutions for certain one-dimensional N-body Hamiltonians, a novel contribution in quantum many-body problem analysis.

Findings

Explicit bound state wave functions derived

Bound state energies calculated

Analogies to atomic Hamiltonians established

Abstract

We construct explicit bound state wave functions and bound state energies for certain $N$--body Hamiltonians in one dimension that are analogous to $N$--electron Hamiltonians for (three-dimensional) atoms and monatomic ions.