shrodinger equation and potential wells
the allowed energies En of a particle of mass m in an infinite potential well of width L are predicted by the schrodinger equation to be
En= ((n^2)(h^2))/8mL^2
a) Show how this result also follows from applying the de broglie relation for the allowed standing waves on a string of length L (assume the ends of the string are firmly fixed)
b) make an energy level diagram showing the first three energy levels of an infinite potential well, and another sketch showing their associated probability density functions.
c) If an electron is in the n=3 state of an infinite potential energy well of width 10nm, how much energy must it be given to move it into the n=5 state?
