Given an electron is contained in a box which has length (from to ):
1.) Write what is for the electron.
2.) Find 's eigenfunctions and eigenvalues. Then, determine what the general solution is for the system. (Sol'n to time-dep. Schrodinger Eq.).
3.) What do the first five energy levels look like. Suppose an electron is excited to the 4th energy level. Determine the possible wavelengths of the light emitted when it deexcites.
4.) If this were a golf ball, would you be able to see energy quantization?
So 4.) is clearly no, since quantum mechanics deals with particles!