8.3 Electron Spin

The fifth quantum number and intrinsic magnetic moment, Stern-Gerlach beam splitting, and fine and hyperfine structure from magnetic coupling inside the atom.

University Physics Volume 3, 8.3 Electron Spin

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7 exercises

8.3 Exercise 1

If the Stern-Gerlach experiment yielded four distinct bands instead of two, what might be concluded about the spin quantum number of the charged particle?

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8.3 Exercise 2

Explain how a hydrogen atom in the ground state $\left(\right. l = 0$ ) can interact magnetically with an external magnetic field.

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8.3 Exercise 4

List all the possible values of s and $m_{s}$ for an electron. Are there particles for which these values are different?

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8.3 Exercise 6

What is spin-orbit coupling?

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8.3 Exercise 8

What are the possible polar orientations of the spin momentum vector for an electron?

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8.3 Exercise 10

A hydrogen atom is placed in an external uniform magnetic field ( $B = 200 \text{T}$ ). Calculate the wavelength of light produced in a transition from a spin up to spin down state.

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8.3 Exercise 12

If the magnetic moment in the preceding problem is doubled, what happens to the frequency of light produced in a transition from a spin-up to spin-down state?

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