Question 4: 10 points 4. Evaluate       (∂x2 + k2)eik|x−x0|                                            (4) Hint 1: You can think of |x −x0| as √((x −x0)2).Hint 2: Treat the point x = x0 with care. [10 points]

Question 1: 20 points 1. An electron is at rest at the origin, in the presence of a magnetic field whose magnitude (B0) is constant but whose direction rides around at constant angular velocity ω on the lip of a cone of opening angle α: B(t) = B0[sin(α) cos(ωt)ˆi + sin(α) sin(ωt)ˆj + cos (α)ˆk]                                                         (1) 1a) Write the formula for the Hamiltonian for a particle with spin coupled to a magnetic field. (You only need to write the coupling Hamiltonian.)[5 points] 1b) Construct the 2 × 2 Hamiltonian matrix for this system. [5 points] 1c) Use first-order time-dependent perturbation theory to calculate the approximate probability of a transition from spin up (the initial state) to spin down, as a function of time. [5 points] 1d) State the criterion on the strength of the field that determines whetherperturbation theory is applicable in this case. [5 points]  

The Milgram Study was famous in that:

Random assignment refers to which of the following?

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When Sue (2006) talked about cultural competency in practice, he indicated three processes in counseling: scientific mindedness (i.e., forming and testing hypotheses), _____ (i.e., flexibility in generalizing and individualizing), and culture-specific resources (i.e., having knowledge and skills to work with other cultures).

One advanced counseling skill is ____, which is about noticing and commenting on inconsistencies in client’s presentation and is intended to help the client understand their defense or unhelpful patterns. One example can be: “You frequently mentioned that you would like to spend more time with your sister, but it doesn’t seem like you often make time for her.”  

The three primary roles of counseling psychology are remedial, educative-developmental, and _____________. 

Name all phases of the counseling process correctly in order (2 point). 

If Jim, a counselor, refers his client to work with another counselor after knowing that the client is a student of the class that he will teach next semester, he is upholding the ethical standard of __________________ .