Question

I. Collaborative I re encouraged to work with fellow students, as well as to ask me questions For problems in this section, you a by email phone, or in person. Short Answer (5 points) No justification is required for the answer to the following question. Suppose J-J) is any quantum mechanical angular momentum - ie. that satisfies J,j, ih and cyclic permutations thereof. Suppose ψ ls a simultaneous eigenstate of both j-at tjz and.., i e , such that j2ψ λψ and Jtb μψ for some real numbers λ and p. What are the possible values for the pair (A,p)? How do these possible values become more restricted if J is more specifically an orbital angular momentum, i.e., of the form J : L rx p? Problem (20 points) Show your work in answering the followring question. (You may use any equation from the textbook for the course without deriving it. You may also use, and are encouraged to use, Wolfram alpha or similar program Consider the n 3 shell of the Hydrogen atom, as described in chapter 8. (a) What is the energy of any electron in this shell? (b) What are the (c) For any 3d state, calculate the possible values of ? For each (, what are the possible values of m? expectation value of the radial coordinater

Answer 1

Given that anulon momentum enblens 3.6

.ftn. 3d Stute. 0 16
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