(a) What does a wave-function of describe? Write down the wave-function of a free-particle. A particle is in an square well potential of size L. Show a simple sketch and Calculate the ground state energy if
(b) Particle is a proton and L=0.1 nm (size of a molecule); and
(c) Particle is a proton and L= 1 f m, (typical size of a nucleus). Note mass and rest-mass energy of proton are given at the front page.