Let T d denote the translation operator (displacement vector d); D (n, ), the rotation operator (n

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Let T_d denote the translation operator (displacement vector d); D(n, Φ), the rotation operator (n and Φ are the axis and angle of rotation, respectively); and r the parity operator. Which, if any, of the following pairs commute? Why?

a. T_dand T_d (d and d’ in different directions).

b. D(ñ, Φ) and D(ñ, Φ) (ñ and n’ in different directions).

c. T_d and π.

d. D(n, Φ) and π.

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Modern Quantum Mechanics

ISBN: 978-0201539295

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Authors: J.J Sakurai

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Question Posted: Apr 16, 2011 06:41 AM

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Let T d denote the translation operator (displacement vector d); D (n, ), the rotation operator (n

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a T T Typx x and TTg 4x T4 TT 0 Since is arbitrary we have T0 They SO commute b D does ...View the full answer

Modern Quantum Mechanics

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