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Posted: April 21st, 2021

In the ‘’rotating vector’’ picture of angular momentum one imagines

1) In the ‘’rotating vector’’ picture of angular momentum one imagines angular momentum J asa vector rotating around the - axis so that its z- component is.a) Show that the expectation values ofb) How precisely can you measureand )?andand2 a) Show that the kinetic energy operator))in eigenstatesvanish.simultaneously (if the system is an eigenstate of(in 3D) can be expressed as)where r is the position operator and p is the momentum operator. Hint: Start with)) and (usingb) Show that the operator.) in components:can be represented in spherical coordinates.as

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