Consider a particle in a 1-D box having L = 10 nm. (a) Plot the ground state and first two excited state wave functions. (b) How does the number of nodes in the wave function change with increasing n? (c) How does the magnitude of the wave function vary as the box size varies? (d) What is the energy of the ground state (using the mass of an electron)? Why isn't it zero?

Consider a particle in a 1-D box having L = 10 nm. (a) Plot the ground state and first two excited state wave functions. (b) How does the number of nodes in the wave function change with increasing n? (c) How does the magnitude of the wave function vary as the box size varies? (d) What is the energy of the ground state (using the mass of an electron)? Why isn't it zero?