-Schrödinger equation and applications. Guiding question: What is the link between the zero point energy for a particle

[answerhappygod]

-Schrödinger equation and applications.
Guiding question:
What is the link between the zero point energy for a particle in a rigid box and the uncertainty principle?

Excercise statement:
Consider an atomic nucleus lying in an infinite potential well of width 4.90 nm.
a) If the energy reached by the atom is 0.251x10^-20 J. In what state of energy is the electron found?
b) If the energy reached by the atom is 0.137x10^-23 J. In what state of energy is the proton?
c) What is the reason for the similarity of the previous results?