4.2 Let a denote the translation operator (displacement vector d), (,) the rotation operator (n and are the axis and angle of rotation, respectively), and the parity operator. Which, if any, of the following pairs commute? Why? a. Ta and T (d and d' in different directions). b. 9(n.) and (ñ', ')(în and î' in different directions). c. ₁ and 7. d. 9(Â, p) and 7.
4.2 Let a denote the translation operator (displacement vector d), (,) the rotation operator (n and are the axis and angle of rotation, respectively), and the parity operator. Which, if any, of the following pairs commute? Why? a. Ta and T (d and d' in different directions). b. 9(n.) and (ñ', ')(în and î' in different directions). c. ₁ and 7. d. 9(Â, p) and 7.
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Transcribed Image Text:4.2 Let a denote the translation operator (displacement vector d), (1, p) the rotation
operator (n and are the axis and angle of rotation, respectively), and the parity
operator. Which, if any, of the following pairs commute? Why?
a. Ta and T (d and d' in different directions).
b. 9(n.) and 2('. ')( and ñ' in different directions).
c. ₁ and 7.
d.
(,) and 7.
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