Work out the spin matrices for arbitrary spin s, generalizing spin 1/2 (Equations 4.145 and 4.147), spin
Question:
Work out the spin matrices for arbitrary spin s, generalizing spin 1/2 (Equations 4.145 and 4.147), spin 1 (Problem 4.34), and spin 3/2 (Problem 4.61).
where
Equations 4.145
Transcribed Image Text:
Sx S₂ = h 0 Sy || 11 方|2 ħ 方|2 -S ħ 0 S- 0 0b0 0 0 0 0 : 0 ...00 1 bs 0 by-1 0 0 0 -ibs 0 0 ib, 0 ibs-1 0 0 ⠀ 00 0 0 - 2 S- ⠀ 0 0 bs-1 0 b₁-2 : 0 0 … : 0 0 *** 0 0 bs-2 0 : 0 0 -ib-1 0 ibs-2 0 0 0 ... ** *** ... ... 0 0 -ibs-2 0 0 0 0000 O... 0 ….. 0000 b-s+l 0 *** 1+5-9 0000 ⠀ 0 ib_s+l 0 0 : -ib-s+1
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From Eq 4135 Szsm msm Since s is fixed here lets just id...View the full answer
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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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