Show that the Pauli matrices generate a matrix representation of Lie group elements having the form as

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Show that the Pauli matrices generate a matrix representation of Lie group elements having the form

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as required by Problem 3.4 .

Data from Problem 3.4

Show that the most general form for $2 \times 2$ unitary matrices of unit determinant is

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where $a$ and $b$ are complex numbers.

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Related Book For answer-question

Symmetry Broken Symmetry And Topology In Modern Physics A First Course

ISBN: 9781316518618

1st Edition

Authors: Mike Guidry, Yang Sun

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Question Posted: Mar 27, 2024 06:01 AM

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Show that the Pauli matrices generate a matrix representation of Lie group elements having the form as

Question:

U = 2(0101+0202+0303) a b 14 -b* a*

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Symmetry Broken Symmetry And Topology In Modern Physics A First Course

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