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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 w = y B, the eigenvalues of the Hamiltonian are Select one: O a. -ho, ho O b.-iho,0, 글o O c. -ho, 0, ħo O d. -ha, ho e. -hw, hw

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 = y B, the eigenvalues of the Hamiltonian are Select one: O a. -ho, ho O b.-iho,0, 글o O c. -ho, 0, ħo O d. -ha, ho e. -hw, hw

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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 w = y B, the eigenvalues of the Hamiltonian are Select one: а. O b. -hw, 0, hw О с. -һо, 0, ћo Ο d. -hw, ho O e. -ħw, tho е.
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 w = y B, the eigenvalues of the Hamiltonian are Select one: а. O b. -hw, 0, hw О с. -һо, 0, ћo Ο d. -hw, ho O e. -ħw, tho е.
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