1D Tunneling Model

The 1D tunneling model describes how particles like electrons can pass through barriers they normally shouldn’t cross, due to quantum mechanics. In classical physics, a particle needs enough energy to go over a barrier, like a ball rolling over a hill. But in quantum physics, particles behave like waves, giving them a probability to "tunnel" through the barrier even if they lack sufficient energy. This effect is crucial in many technologies like transistors and tunnel diodes. The model simplifies the problem to one dimension, analyzing how the wave-function of particles extends into and beyond barriers, predicting the likelihood of tunneling.