ANSWER THE QUESTION CLEARLY AND NEATLY.

2.) A system is in a state described by the wavefunction (x)=exp(ikx) for all values of x from to +. ( k is a constant). a.) Show that this wavefunction is an eigenfunction of the linear momentum operator for the x coordinate. What is the eigenvalue? p^x(x)=P(x) Where: Px=i(d/dx) b.) Determine how the energy eigenvalue E of the Schrdinger equation is related to the constant k for this system if the potential energy equals 0 for all x. H^(x)=E(x)Where:H^=KE+PE=2/2m(d2/dx2)+0(x)=exp(ikx) Show that k=(2mE)1/2/ c.) with emphasis on the physical significance, explain precisely what is meant by a normalized wave function