With U† = U− 1, V † = V − 1. ( 10/ 29) Typos fixed on slides 6& 7 of Lecture 11 in definition of the trine states. The first one is a two- level system which can be visualized as a spin in a static magnetic field.

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We need to apply the commutators of the spin operators to solve this problem. We note that, for general spin operators, we get the commutation relation: [ Si, Sj] = ıhϵijkSk.

We now require that α = φ/ h. This means that: C1 = [ Sz, Sx] = ıhSy.EE223 Applied Quantum Mechanics II | Stanford Center for.