# Quantum tunnel splitting

## Main Question or Discussion Point

Hi,

I am was reading about a double well potential. I came across the word "quantum tunnel splitting". Can anyone tell me what this is?

For example if we have a double well potential we can have a |L> and |R> as two states. The article said that if we ignore the tunneling the two states are degenerate. But if we include the tunneling the "ground state" is split.

I do not understand why and how this is happening. Can anybody please explain me?

$$\left(\begin{array}{cc}E&ε\\ε&E\end{array}\right)$$