The Hamiltonian of a spin S in a magnetic field B is given by \hspace {3cm} H = -yS · B where y is a positive constant. If a magnetic field of strength B is applied in the z- direction for a spin-half single electron system, taking w = yB, the eigenvalues of the Hamiltonian are Select one: -ħw, tħo O b. -hw,0, ħw O c. -ħw, ¿ħo Оа. Ос. O d. -ħo, ho О е. —ћо,0, ho

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The Hamiltonian of a spin S in a magnetic field B
is given by
\hspace {3cm} H =
-yS · B
where y is a positive constant.
If a magnetic field of strength B is applied in the
z– direction for a spin-half single electron system,
taking @ = y B, the eigenvalues of the Hamiltonian
are
Select one:
a. -ho, ħo
O b. -hw,0, ¿ħo
-ho, ho
Ос.
O d. -ho, ho
O e. -ħw, 0, ħo
Transcribed Image Text:The Hamiltonian of a spin S in a magnetic field B is given by \hspace {3cm} H = -yS · B where y is a positive constant. If a magnetic field of strength B is applied in the z– direction for a spin-half single electron system, taking @ = y B, the eigenvalues of the Hamiltonian are Select one: a. -ho, ħo O b. -hw,0, ¿ħo -ho, ho Ос. O d. -ho, ho O e. -ħw, 0, ħo
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