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Updated: Aug 9, 2026

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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Tunnel model for hard-sphere bosons in their ground state
1IBM Research Laboratory, Monterey and Cottle Roads, San Jose, California 95114.
Summary
The tunnel model accurately predicts the behavior of dense quantum hard spheres. Recent comparisons confirm its reliability for calculating ground-state energy in these quantum systems.
Area of Science:
- Physics
- Quantum Mechanics
- Statistical Mechanics
Background:
- The tunnel model simplifies fluid behavior into molecular rows within 'tunnels'.
- It's established for classical dense hard spheres but unverified for quantum systems due to limited data.
- Previous lack of reliable quantum hard sphere results hindered tunnel model validation.
Purpose of the Study:
- To assess the accuracy of the quantum tunnel model for dense hard spheres.
- To validate the tunnel model's applicability in quantum mechanical systems.
- To provide reliable data for judging the quantum tunnel model's performance.
Main Methods:
- Applying the tunnel model to quantum hard spheres.
- Comparing tunnel model predictions with recent variational calculations.
- Evaluating the ground-state energy of dense hard sphere systems.
Main Results:
- The tunnel model demonstrates reliability for dense quantum hard spheres.
- Recent variational data confirms the accuracy of the quantum tunnel model.
- The model's predictions align well with established quantum mechanical calculations.
Conclusions:
- The tunnel model is a reliable theoretical tool for dense quantum hard spheres.
- This study validates the quantum tunnel model's predictive power.
- The findings support the use of the tunnel model in quantum fluid dynamics.
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