**Unformatted text preview: **eigenstate is | E 1 i = A (2 | ± 1 i -i | ± 2 i ) and it has an energy eigenvalue of Δ. The other eigenstate | E 2 i has an energy eigenvalue of-Δ. (1a) Find the normalization constant A, assuming it is real. (1b) Find | E 2 i in the {| ± i i} basis. To remove arbitrariness in the overall phase, choose the coeﬃcient of | ± 1 i to be real. (1c) Suppose that at t = 0 the system is in the state | ± 2 i . What is the probability of being in this state for time t > 0?...

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- Fall '08
- Physics, Linear Algebra, SOLUTIONS, Work, Homework, Midterm, Final, Review, Quantum Mechanics, Upenn, Quantum, Penn, Phys 411, Phys 412, Fundamental physics concepts, Hilbert space, magnetic field B., energy eigenvalue