(a) Check that the spin matrices (Equations 4.145 and 4.147) obey the fundamental commutation relations for angular...
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(a) Check that the spin matrices (Equations 4.145 and 4.147) obey the fundamental commutation relations for angular momentum, Equation 4.134.
(b) Show that the Pauli spin matrices (Equation 4.148) satisfy the product rule
where the indices stand for x, y, or z, and ∈ jkl is the Levi-Civita symbol:
+1 if jkl = 123, 231, or 312; -1 if jkl = 132, 213, or 321; 0
otherwise.
Equation 4.134
Equations 4.145
Equations 4.147
Equations 4.148
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Related Book For
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
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