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

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>

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
Page 160: There should be no factor of 1/2\pi in (5.82). That also spills over to the first line of (5.83) where the 1/2\pi should be removed. (But it should still be there on the second line of (5.83))

Page 191: In (6.120), the middle term on the RHS should be - i\hbat \hat{p}/m rather than +.
Page 193: In (6.129) and (6.130) and (6.133), the Rydberg constant is denoted as R_H. But earlier in Chapter 6, it is denoted as Ry.

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 242: In (7.152) the middle equation is |0,0> = but should be |2,0> =
Page 243: If we derive (7.158) from (7.144) then there should be an overall (irrelevant!) minus sign on the RHS.
Page 247: In (7.174), the second line has 2\hbar but it should be just \hbar.
Page 247: Just below (7.174), it says j \geq j+2 but should be j' \geq j+1
Page 247: In (7.177), the first term on the second line should have an extra \hbar in front
Page 257: Below (7.126), in the sentence in parantheses, the |\psi(t)> should be |\psi(-t)>
Page 263: In (7.252), the spin operators in the equations on the left should be multiplied by 2/\hbar

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.

Page 321: Below (10.36), the \log n \approx should be \log n! \approx
Page 321: In (10.37), the prefactor after the = has a minus sign wrong: it should read (\log(c\lambda) + \log n)
Page 322: Just before Section 10.1.4, there is a e^{-1/\lambda^p} which should be e^{-1/(c\lambda)^p}
Page 346: Just before "An Aside: Quarkonium", the x \rightarrow \infty should be u \rightarrow \infty
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.
Page 350: In (10.144), inside the square-root on the LHS there's a m^2 that should be m
Page 350: In (10.147), the E^{1/4} on the second line should be E^{3/4}
Page 350: In (10.148), the 1.75\pi should be \pi/1.75

Page 368: The hydrogen molecule should, of course, be H^+_2, not H^-_2!
Page 369: Above (11.51), the \Psi_\pm should be \phi_\pm
Page 372: Just after (11.58), the \tau << \hbar/\omega_0 should be \tau << 1/\omega_0
Page 375: There's an = sign missing on the right of (11.75)
Page 379: In (11.93) there should be a subscript I on |\psi(t)>
Page 380: In (11.96), the denominators (E_n - E_m - \hbar \omega) and (E_n - E_m + \hbar\omega) should be swapped.

Page 390: Above Section 12.1.3, the minus sign is missing in E_{ground} = -mc^2(Z\alpha)^2/2
Page 393: In (12.31) \omega_T should be bold.
Page 424: In the first paragraph, it should say swapping "columns", not "rows" of the matrix

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