Answer:
The probability of finding a particle in a space is proportional to the square of its absolute value.
In quantum mechanics, there are still chances of find a particle in a classically forbidden region.
That is, finding the ground state harmonic oscillator displaced beyond the classical turning points.
Since there is a chance for finding the ground state harmonic oscillator displaced beyond the classical turning points, the probability (P) will have a value and not equal to Zero( I.e 16%).
By normalization, the probability can be added to 1
This phenomenon is tunneling in quantum mechanics.
Step-by-step explanation:
The motion of a classical oscillator is confined to the region where its kinetic energy is nonnegative.
Physically, it means that a classical oscillator can never be found beyond its turning points, and its energy depends only on how far the turning points are from its equilibrium position. The energy of a classical oscillator changes in a continuous way. The lowest energy that a classical oscillator may have is zero, which corresponds to a situation where an object is at rest at its equilibrium position. The zero-energy state of a classical oscillator simply means no oscillations and no motion at all (a classical particle sitting at the bottom of the potential well.
