# Spinless Bosons or Spin 1/2 Fermions in a 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction I - General Theory

## TL;DR

This paper develops a general theoretical framework for analyzing large systems of 1D trapped spinless bosons or spin-1/2 fermions with repulsive delta interactions, providing insights into their many-body behavior.

## Contribution

It introduces a comprehensive theoretical approach to solve the many-body problem for large N in 1D harmonic traps with delta interactions, applicable to both bosons and fermions.

## Key findings

- Solution for large N limit of 1D trapped particles
- Unified treatment for bosons and fermions with delta interactions
- Foundational basis for further many-body analysis

## Abstract

In these two papers, we solve the N body 1D harmonically trapped spinless Boson or spin 1/2 Fermions with repulsive delta function interaction in the limit $N\to \infty$.

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Source: https://tomesphere.com/paper/0910.3470