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.)
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Transcribed Image Text: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.)
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