Question

Consider the hamiltonian: where and Find the probability at to find .

Consider the hamiltonian:

H= - B.S=-4B

where

B= \begin{cases} B \hat{e}_z & \mbox{$0\leq t < T$} \\ B \hat{e}_y & \mbox{$T\leq t \leq 2T$} \end{cases}

and

|\psi(0)\rangle=\chi^{(x)}_+.

Find the probability at t=2T to find |\psi(2T)\rangle=\chi^{(x)}_-.

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