(a) Check that the spin matrices (Equations 4.145 and 4.147) obey the fundamental commutation relations for angular...

Question:

(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

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Introduction To Quantum Mechanics

ISBN: 9781107189638

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

Question Posted: