3) An unnormalized spin-state of an electron is given by (1+i)|+> -(2-i)|->. A) Normalize this. B) What is the expectation value of Sz? C) Explain why your answer to B is a reasonable numerical answer. D) Find an expression for the uncertainty (standard deviation) of a Sx measurement of this state. Don't simplify. E) Time-evolve this state if it is placed in a magnetic field of strength B that points in a direction of your choosing. (Hint: choose wisely, and tell me what you chose! If you choose poorly this becomes very difficult.)

3) An unnormalized spin-state of an electron is given by (1+i)|+> -(2-i)|->. A) Normalize this. B) What is the expectation value of Sz? C) Explain why your answer to B is a reasonable numerical answer. D) Find an expression for the uncertainty (standard deviation) of a Sx measurement of this state. Don't simplify. E) Time-evolve this state if it is placed in a magnetic field of strength B that points in a direction of your choosing. (Hint: choose wisely, and tell me what you chose! If you choose poorly this becomes very difficult.)