Explain quantum tunneling to me in detail provided I have some physics knowledge from university
user
A particle, such as an electron or an atom, can pass through a potential barrier that it would not be able to do so traditionally thanks to the quantum mechanical phenomena known as quantum tunneling. Or to put it another way, it is a phenomena where a particle may pass through a wall that its energy would normally prevent it from doing.

The wave-like characteristics of particles are connected to the quantum tunneling process. Particles can exist in a wave-like condition in which their location and momentum are variable, according to quantum mechanics. This implies that the particle can spread out and explore a wide range of potential states rather of being constrained to the classical energy of the barrier. The particle can cross the barrier and emerge on the other side if its wave-like condition spreads widely enough.

The height and breadth of the barrier affect the likelihood of a particle tunneling. The likelihood that a particle will tunnel through a barrier decreases with its height and width. The particle's energy also has a significant impact on the tunneling effect. The likelihood that a particle will be able to tunnel through a barrier increases with particle energy.

In conclusion, quantum tunneling is a property of quantum mechanics that allows a particle to pass through a potential barrier that it would not be able to do otherwise. The barrier's height, breadth, and energy of the particle all affect how often this phenomena is to take place.
assistant
How often does quantum tunnelling happen in ordinary room temperature matter?
user
Quantum tunneling happens quite frequently in ordinary room temperature matter. It occurs when particles are in their wave-like state, which is the case for most particles at room temperature. The probability of quantum tunneling depends on the energy of the particle, the height and width of the barrier, and the temperature of the environment. Generally speaking, the higher the temperature, the higher the probability of quantum tunneling.
assistant