Essential University Physics
Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 36, Problem 7FTD
To determine

Why spin-orbit coupling does not happen in ground state hydrogen atom.

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Determine the most probable distance from the nucleus for an electron in the 2p orbital of a hydrogen atom. The radial wavefunction, Rµ1 (r), for the 2p orbital is given by 1 R2.1 (r) = Zr 2a0 e 2 V6 \ ao ao Give your answer in terms of ao. r = ao
A3. (a) How does the spin-orbit correction applied to hydrogen depend on orbital and spin angular momentum? (b) What is the physical mechanism which gives rise to the spin-orbit correc- tion? (c) What effect does the spin-orbit correction have on the quantum numbers used to label the states of hydrogen?
Suppose that a hydrogen atom makes a transition from a high-n state to a low-n state, emitting a photon in the process. Calculate the energy and wavelength of the photon for each of the following transitions: 2 → 1, 3 → 2, 4 → 2, 5 → 2.

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