Project 1: Bose Einstein Condensation in an External Potential

This research project investigates Bose-Einstein condensation (BEC) in external potentials using statistical mechanics:

Project Details

• Course Project: Completed while auditing Professor Klavs Hansen’s Statistical Mechanics course
• Research Focus: Exploring how dimensions and external fields affect Bose-Einstein condensation
• Methods: Analytical and computational tools with research excellence recognition

Research Summary

When atoms are confined by an external potential V(r) = αr^s instead of a rigid container, BEC formation depends on both dimensionality and potential form. This project presents theoretical results for this relationship.

Key Outcomes

• Analysis of BEC formation in external potentials
• Theoretical framework for dimensional effects
• Analytical methods
• Research excellence recognition

Project paper

Download Research Paper (sp-BEC.pdf)

The project demonstrates advanced statistical mechanics techniques in many-body physics.