1) Calculate the probability current of the following wave function for two cases i) ii) R(x) and S(x) are complex functions R(x) and S(x) are real y (x) = R(x)e is(x)/1 a 2) Show that the operator x has the representation x = ih in momentum space. 3) A particle is represented by the wave function W (x,0) = {A SA (a x) 0 if-asx sa otherwise a) Determine the normalization constant A b) What is the expectation value of x and x?? c) What is the expectation value of p and p?? 1) Calculate the probability current of the following wave function for two cases i) ii) R(x) and S(x) are complex functions R(x) and S(x) are real U (x) = R(x)eis(x) /h 2) Show that the operator x has the representation x = i in momentum space. a 3) A particle is represented by the wave function (x, 0) A (a? x2) 0 {A if - a