In: Physics
particle in a well
1. Using the uncertainty principle for position and momentum,
estimate the ground state energy
for an infinite well of width a, compare the obtained result with
the one found in the lecture.
2. Compute <p> and <x> for the particle in a box.
3. Prove that the eigenfunctions ψn(x) are orthogonal .
4. What are the energies of the ground state, first excited and
second excited states for an
electron trapped in an infinite well of width 1 ˚A?