Problem Set 5 Physics 342 Due February 12 Some abbreviations: S - Shankar. 1 . S13.1.5 (Virial Theorem) 2 . S13.3.1 3 . S15.3.4 (the magnetic moment question) 4 . Two identical spin 1 / 2 fermions move in one dimension under the inﬂuence of an inﬁnite wall potential with V = ∞ for x < 0 and x > L . For 0 ≤ x ≤ L , the potential vanishes. (i) Find the ground state wavefunction and ground state energy when the two particles are constrained to a triplet spin state ( ortho state). (ii) Repeat this exercise when they are in a singlet state ( para state). 5 . Consider a particle with spin ~ S and orbital angular momentum ~ L . Let ~ J be the total angular momentum as usual, and | l,s,j,m i an eigenstate of ~ L 2 , ~ S 2 , ~ J 2 and J z . Use the
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This note was uploaded on 02/27/2010 for the course PHYSICS 342 taught by Professor Sghy during the Spring '10 term at King's College London.