# Shadow wave function with a symmetric kernel

## TL;DR

This paper introduces a shadow wave function with a symmetric kernel that enhances atom exchange in systems, maintaining key properties and allowing easy estimation of physical quantities, demonstrated on a helium atom system.

## Contribution

It presents a novel shadow wave function with a symmetric kernel that improves atom exchange modeling while preserving essential properties and computational simplicity.

## Key findings

- Enhanced atom exchange in helium systems
- Maintains basic properties of trial functions
- Effective in estimating physical quantities

## Abstract

A shadow wave function with an explicit symmetric kernel is introduced. As a consequence the atoms exchange in the system is enhanced. Basic properties of this class of trial functions are kept and quantities it can describe are easily estimated. The effectiveness of this approach is analized by computing properties of interest in a system formed from 4He atoms.