Phys 402 Spring 2009 Homework 2 Due Friday, February 13, 2009 @ 9 AM 1. Griffiths, 2nd Edition, Problem 4.22 (a) and (b) only Ang. Mom. raising operator L+ and Yℓℓ. 2. Griffiths, 2nd Edition, Problem 4.25 Reproduce Pauli’s argument against the “spin” interpretation of the “two-valudeness not describable classically” 3. Griffiths, 2nd Edition, Problem 4.26 (a) only Spin operator/matrix commutators 4. Griffiths, 2nd Edition, Problem 4.27 Normalization, expectation values and uncertainties of a spin state 5. Griffiths, 2nd Edition, Problem 4.29 Eigenvalues and eigenfunctions of Sy Extra Credit #3 Griffiths, 2nd Edition, Problem 4.31 Construct spin matrices for spin-1 particles Extra Credit #4 Griffiths, 2nd Edition, Problem 4.33 Spin precession in an oscillating magnetic field, time-dependent Schrödinger equation Office Hours Thursday, 3:00 – 4:30 PM, Room 0360 (see class web site for directions to the room) TA (Wai-Lim Ku) Office Hours, Thursday 4:30 – 5:30 PM, Room 0104Physics 402 Spring 2009 Prof. Anlage Discussion Worksheet for February 11, 2009 1. The electron in a hydrogen atom occupies the combined spin and position state ⎟⎟⎠⎞⎜⎜⎝⎛+=Ψ−+χφθχφθ),(32),(31)(110121YYrR a) If you measured the orbital angular momentum squared (L2), what values might you get, and what is the probability of each? b) Same for the z component of orbital angular momentum (Lz) c) Same for the spin angular momentum squared (S2) d) Same for the z component of spin angular momentum (Sz)2. Show that it is impossible for a spin-1/2 particle to be in a state such that ⎟⎟⎠⎞⎜⎜⎝⎛=baχ0===zyxSSS. Hint: start by examining
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