Problems from Sakurai and Napolitano’s Quantum Mechanics (2nd Edition). Note: If you are using the 1st, or revised editions, your problem numbers, and sometimes even your chapter numbers, won’t line up with mine. Read the disclaimer before use.
Solution: Sakurai 1.4 (parts a-c only)
Solution: Sakurai 1.29 (my solution is not quite correct, but it’s close)
Solution: Sakurai 2.19 (my solution to part d is incorrect)
Solution: Sakurai 3.14 (my solution lacks necessary interpretation)
Solution: Sakurai 5.4 (note that I’m missing a factor of ½ in part c: x²+y² = ½((x+y)²+(x-y)² — Thanks Alireza!)
Solution: Sakurai 5.9 (note in part (a) that my limits of integration on the θ integrals run from 0 to 2π, but the upper limit should actually just be π. Ultimately this is inconsequential as the integral simplifies to 0 regardless, so the solution still appears to be correct. — Thanks Avik!)