Aparticle of mass iii rests upon an impenetrable horizontal floor located at z = 0 in a uniform gravitational field. (a) what is the one-dimensional hamiltonian (energy operator) for this system? sketch the potential energy. (b) sketch the wave function for the ground state of the hamiltonian as a fun cti on of z . indicate on your sketch the approximate location of (z), the average height of the particle above the floor. (e) assume you can approximate (z) ~ 1),0 , where i), z is the uncertainty in the position of the part icle. use the heisenberg uncertainty principle