Quantum Tunneling Probability Calculator
This calculator is designed for students and professionals in the field of quantum mechanics to compute the probability of a particle tunneling through a barrier. Understanding this phenomenon is crucial for exploring both theoretical and practical aspects of quantum physics.
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Data Source and Methodology
All calculations are based strictly on the formulas and data provided by "Quantum Mechanics and Path Integrals" by Richard Feynman. All calculations performed by this tool are strictly based on this source.
The Formula Explained
The quantum tunneling probability is calculated using the formula:
Probability = exp(-2 * √(2 * m * (V - E) * d) / ħ)
where m is the particle mass, V is the barrier height, E is the particle energy, d is the barrier width, and ħ is the reduced Planck's constant.
Glossary of Terms
- Particle Energy (eV): The kinetic energy of the particle.
- Barrier Height (eV): The potential energy barrier height.
- Barrier Width (nm): The thickness of the barrier.
Frequently Asked Questions (FAQ)
What is quantum tunneling?
Quantum tunneling refers to the quantum mechanical phenomenon where a particle passes through a potential barrier that it classically couldn't surmount.
How is the tunneling probability calculated?
The probability is calculated using the formula derived from quantum mechanics, involving the energy of the particle and the height and width of the barrier.