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An electron is in the spin state at t=0 is given by, (t=0)=N The Hamiltonian of the
electron in the presence of an external magnetic field B- Bk, that is directed to positive z-
eBo
direction, is given by H
=
-S..
mc
[S,- () - s. - ()-[-]
S₂
20 -1
(a) Find the normalization constant N
(b) Find the spin wave as a function of time ((t)=?)
me
(c) Find the expectation value of S, at time t=.
2eB
Transcribed Image Text:An electron is in the spin state at t=0 is given by, (t=0)=N The Hamiltonian of the electron in the presence of an external magnetic field B- Bk, that is directed to positive z- eBo direction, is given by H = -S.. mc [S,- () - s. - ()-[-] S₂ 20 -1 (a) Find the normalization constant N (b) Find the spin wave as a function of time ((t)=?) me (c) Find the expectation value of S, at time t=. 2eB
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