Errata for Quantum Mechanics
Here is a list of typos that I know about:
Chapter 2
- Page 36: With the definition of the Gaussian, the width in the figure should be 2\sigma^2 instead of 2\sigma. (The \sigma defined in A(k) is not the usual standard deviation.)
- Page 45: The b_n in the middle equation should be b_p
- Page 51: In (2.86), the inequality should be -a < x < a. (Not -a < 0 < a which is just dumb.)
- Page 54: Below (2.98), the phrase "red circle" should just be "circle". (Because the figure is in black and white!)
- Page 69: In (2.153) another place where it should be -a < x < a
Chapter 3
- Page 84: In (3.50), \psi_n on the RHS should be \psi_mp
- Page 84: In (3.50), \psi_n on the RHS should be \psi_mp
- Page 90: In (3.72), in the third expression a_n > a_m
- Page 91: Just after (3.77), it should say ||\psi||^2 = ...
- Page 109: In (3.167) the e^{-ax^2/s} should be e^{-ax^2}
- Page 114: The last term in (3.186) should have an absolute value
- Page 117: Above (3.196) the tensor product should be C^2 \otimes C^2 (i.e. the times symbol should be in a cirlce)<\li>
Chaper 4
- Page 133: The x- and y-axes in Figure 4.1 should be swapped
- Page 140: In (4.57), the final term should be \pi^2/2n (not 4n)
Chapter 5
- Page 145: Below (5.22), the expression for a^\dagger is missing the normalisation 1/\sqrt{2m\hbar\omega}. The result in (5.23) is unchanged.
- Page 150: There is a minus sign missing in the (irrelevant) overall phase, which should be e^{-i\omega t}, in (5.44) and (5.45) and in the paragraph between them.
- Page 150: (5.46) should read <\hat{x}> = x_0 \cos(\omega t) + (p_0/m\omega) \sin(\omega t) and <\hat{p}> = p_0\cos(\omega t) - (mx_0/omega) \sin(\omega t)
- Page 153: There should be an extra factor of 1/2 in front of the gamma function in the final expresison
Chapter 6
- Page 191: In (6.120), the middle term on the RHS should be - i\hbat \hat{p}/m rather than +.
Chapter 7
- Page 219: There should be hats on the L operators in the sentence below (7.56).
- Page 224: There should be a |j,m> on the LHS of the second equation in (7.70).
- Page 226: In (7.87), the term e^{i\theta \hat{J}_3} should be e^{i\theta \hat{J}_3/\hbar}.
- Page 231: No factor of i in front of \delta_{\alpha\beta} on the RHS.
- Page 237: In (7.129), the first two terms in the final line should have a factor of 1/2, so it reads (schematically) 1/2(J_+J_- J_-J_+). That then infects (7.130), which shouldn't have a factor of 2 in front of the J_+J_- + J_-J_+ terms. Finally, in (7.131), the second and third lines shouldn't have that factor of 2.
- Page 243: If we derive (7.158) from (7.144) then there should be an overall (irrelevant!) minus sign on the RHS.
Chapter 9
- Page 302: The semi-direct product symbol in the text below (9.84) should use the latex symbol \ltimes, not \rtimes. That means that the vertical line should sit on the left-side of the bow tie, not the right.
Chapter 10
- Page 347 and 348: The 1/2m in front of (10.138), (10.139), (10.140), and (10.141) should be inside the (...)^{1/4} bracket.
Chapter 16
- Page 570: The end of the first paragraph should read "The experiment was first done in the early 1970s by Clauser and Freedman, and more definitively by Aspect. It has been repeated many times since, with different groups trying to finesse the experiments in order to close off increasingly preposterous loopholes that philosophers claim to have discovered in the argument. Aspect, Clauser, and Zeilinger won the 2022 Nobel prize for these efforts."
- Page 572: Equation (16.28) should read <A_1B_1> = <A_2B_1> = <A_1B_2> = ...
- Page 595: It should be a sum over j in (16.96)
- Page 596: Paragraph below (16.104) "two parts of the system", not "two parts of the subsystem"
- Page 597: First paragaph "enlarged Hilbert space H", not "enlarged Hilbert space H_B"
- Page 613: In equation (16.157), the arguments of the matrix M should be \delta t, not t+\delta t
Further Reading
- Page 673: "flaunt" -> "flout"
- Page 674: "Sakura" -> "Sakurai"
My thanks to Yunpai Lan, Robert Brandenberger, Michael Heaney, Nahian Rahman, Mark Weitzman, and Emanuele Ventura for pointing out some of these.