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Physics / An Introduction to Thermal Physics 1 / Chapter A / Problem 23P

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

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Draw a cone diagram, as in Figure, showing the spin states

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QUESTION:

Problem 23P

Draw a cone diagram, as in Figure, showing the spin states of a particle with s = 1/2. Repeat for a particle with s = 3/2. Draw both diagrams on the same scale, and be as accurate as you can with magnitudes and directions.

Figure: A particle with well-defined and Lz has completely undefined Lx and Ly, so we can visualize its angular momentum “vector” as a cone, smeared over all possible Lx and Ly values. Shown here are the allowed states for ℓ = 1 and ℓ = 2.

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QUESTION:

Problem 23P

Draw a cone diagram, as in Figure, showing the spin states of a particle with s = 1/2. Repeat for a particle with s = 3/2. Draw both diagrams on the same scale, and be as accurate as you can with magnitudes and directions.

Figure: A particle with well-defined and Lz has completely undefined Lx and Ly, so we can visualize its angular momentum “vector” as a cone, smeared over all possible Lx and Ly values. Shown here are the allowed states for ℓ = 1 and ℓ = 2.

ANSWER:

Solution

Step 1

Free body diagram

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