# Confined H(1s) and H(2p) under different geometries

## TL;DR

This paper uses the Diffusion Monte Carlo method to study the energy levels of confined hydrogen atoms across various geometries, including new cubical and square confinements, providing valuable data for solid state physics.

## Contribution

It extends DMC applications to less-studied confinement geometries, offering new energy data relevant to solid state physics.

## Key findings

- Energy eigenvalues for ground and excited states across geometries
- Validation of DMC method on spherical and cylindrical confinements
- New data for cubical and squared confinements

## Abstract

In this paper the Diffusion Monte Carlo (DMC) method is applied to the confined hydrogen atom with different confinement geometries. This approach is validated using the much studied spherical and cylindrical confinements and then applied to cubical and squared ones, for which data are not available, as new applications of the method relevant to solid state physics. The energy eigenvalues of the ground state and one low-lying excited state are reported as a function of the characteristic confinement length.