Problem 2. (2 pts) Prove the Pauli matrix identity da dys = 26a8dBy - da878, (1)...
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Problem 2. (2 pts) Prove the Pauli matrix identity daß dys = 26a8dBy - daß878, (1) where o = (0,0%,0) is the vector of Pauli matrices, and a, 3, 7,6 indexes their components. Problem 3. (2 pts) From the above Eq. 1 or otherwise, show that 4S, S,= -2aaasaja-aaªaasaj, == aß aß (2) where Siasaaasais is the spin operator expressed in terms of fermionic creation/annihilation operators, and i j are lattice site indices. Problem 2. (2 pts) Prove the Pauli matrix identity daß dys = 26a8dBy - daß878, (1) where o = (0,0%,0) is the vector of Pauli matrices, and a, 3, 7,6 indexes their components. Problem 3. (2 pts) From the above Eq. 1 or otherwise, show that 4S, S,= -2aaasaja-aaªaasaj, == aß aß (2) where Siasaaasais is the spin operator expressed in terms of fermionic creation/annihilation operators, and i j are lattice site indices.
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To prove the Pauli matrix identity substitute the expressions for the Pauli matrices x 01 10 y i01 i... View the full answer
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Financial and Managerial Accounting
ISBN: 978-0538480895
11th Edition
Authors: Jonathan E. Duchac, James M. Reeve, Carl S. Warren
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