Quantum Tunneling Probability Calculator
Calculate transmission probability through a potential barrier
About this calculator
The Quantum Tunneling Probability Calculator determines the likelihood of a particle passing through a potential energy barrier, even when it lacks sufficient classical energy. This fundamental quantum mechanical phenomenon occurs when particles 'tunnel' through barriers that would be impossible to cross classically. The calculator is essential for physics students, researchers, and engineers working with quantum devices, semiconductors, and nuclear physics applications where tunneling effects are critical.
How to use
Enter the particle's mass, energy, barrier height, and barrier width into the respective input fields. The calculator will automatically compute the transmission coefficient using the quantum tunneling formula. Results show the probability as both a decimal and percentage, helping you understand how likely the particle is to successfully tunnel through the barrier.
Frequently asked questions
What factors affect tunneling probability?
Barrier width, height, particle mass, and energy all influence tunneling probability. Thinner barriers and lower mass particles increase transmission likelihood significantly.
Why can particles tunnel through barriers?
Quantum mechanics describes particles as waves with probability distributions. These wave functions can extend beyond classical boundaries, allowing barrier penetration.
Where is quantum tunneling practically important?
Tunneling is crucial in semiconductor devices, STM microscopes, radioactive decay, fusion reactions, and modern electronics like tunnel diodes and flash memory.