The angular momentum operator (Postulate 2) for this system can be written as L = -in- Find a general form for the angular momentum eigenfunctions. If you measured the angular momentum of the electron in the ground energy state, what possible values could you measure ( Postulate 3)? If you measured the angular momentum of electrons in many identical ground state systems, what would the average angular momentum be (Postulate 4)?Postulate 4 Ha system is in a store described by a normalized wave function 1.0, then the average value of the observabie corresponding to A is given by (a) = f enigma - (4.11) all space Postulate 3 in any measurement of the observable associated with the operator A, the only vaiues that wilt ever be observed are the eigenvalues an, which satisfy the eigenvalue equation At" = am (4.8) Postulate 2 To every observable in classical mechanics there corresponds a linear operator in quantum mechanics.Postulate 1 The state of a quantum-mechanical system is completely specified by a function (x) that depends upon the coordinate of the particle. All possible information about the system can be derived from v(x). This function, called the wave function or the state function, has the important property that y* (x) (x)dx is the probability that the particle lies in the interval dx, located at the position x