Particle in a box in 3D. Particle in an infinite spherical well. Tunneling through a barrier. Orbital angular momentum. Intrinsic spin angular momentum.
We will show that the energy eigenfunctions are orthonormal. We will find the probability density, various expectation values, the uncertainty in position and momentum, and the uncertainty product.
We solve the simplest 1D spatial problem with bound energy eigenstates and discrete, quantized energies: the "Particle in a box", or infinite square well.
