- #1

- 429

- 15

For which the hamiltonian matrix is {μ

_{B}B,0,0,-μ

_{B}B}

now if the electron is in the state 1/√2{1,1}(e.g in the eigenstates of S

_{x}eigenvalue ħ/2}

If this state is time evolved

1/√2{1,0}exp(-iEt/ħ)+1/√2{0,1}exp(iEt/ħ)

where E=μ

_{B}B

The minimum time for the state becomes

1/√2{1,-1}(e.g eigenvalue -ħ/2 of S

_{x}) spin flip of S

_{x}is t=πħ/2E or t=πħ/2μ

_{B}B

Is 2t =T(the time period of precession of S

_{x}about B)??