Question

3. By drawing picture or pictures to explain (5) A "parity" operator and the requirement of a Hamiltonian for it to be (a) one of the symmetry operators. Give at least one example. As- and a p-wave functions for solutions of the hydrogen atom and (5) (b) give physical reason or reasons to justify your pictures of the wave functions at r=0. What are the 1-values of these two wave functions? The results by adding and subtracting of Y11=Asin0 e and Y1-1 -Asin0 ee, where A is a constant. Draw another picture for 0 and . How do you give physical meanings to Y1 and Y1-1? (5) (c) (7) The meaning of a unitary transformation and write down at least two (d) matrix elements in the first row and first column if the transformation is expressed in matrix form. Give the physical meanings of your matrix elements.

Answer 1

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