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The date is Tuesday, May 9, 2023 at roughly 2:20 AM. A few hours ago
I turned in my PHYS 4302 Quantum Mechanics 2 final exam, and I felt
like writing about my experience with the QM courses I took, as they
were nothing like any of my other courses. Preface: I am a Computer
Science major with a Physics Minor (assuming I don't fail QM2).
Last semester I took PHYS 4301 Quantum Mechanics 1. I was extremely
excited to take this course; I had just finished a course called
Theoretical Physics (that should really be called Mathematical
Methods for Theoretical Physics) and was excited to specialize in an
area that I had almost no understanding of but promised great insight
into the universe, according to the most respected scientific minds
of the modern era (and hollywood as well). Before I go into detail
about my experience, I'll sum it up: I still have almost no understanding
of the field.
Having just come off of a course that should have been classified
as a mathematics course, I was excited to deal with electrons and
hydrogen atoms and wave functions and etc. For the first semester I
did not deal with those first two things; it was an introduction to
the ideas behind QM and how they contrast with classical mechanics.
And that's good! I believe that is the correct way to introduce
systems that are completely contradictory to intuition and training.
However, I didn't feel like I was learning much.
I'll be completely honest and say that my failures in the field of
QM are largely self-inflicted and that I think the professor I
studied under is a great teacher. I spent much of 4301 working on a
research paper instead of paying attention, I did not attend office
hours, I didn't use homeworks as a learning opportunity like our
professor intended them to be, etc. I think this behavior was habit
after a few years of taking computer science courses that I found to
be tedious rather than interesting. I have a few issues with how our
professor taught; for example he had been teaching QM so long that
he had developed his own vocabulary that was completely independent
of the standard, making it impossible to research some of the topics
outside of the course (this would be remedied via office hours).
Additionally, his curriculum was very free-form, not bound to any
one textbook and really just an amalgamation of what he believed to
be necessary to grasp the fundamentals of QM. I don't believe there
is anything inherently wrong with this, but the frustration arose
when I couldn't find topics in either of the two QM textbooks I
owned (Griffiths and R.I.G. Hughes). There were no lecture notes,
only recordings of unsearchable pandemic-era lectures.
Let me make myself clear again and say that these shortcomings did
not define the course for most of the students and that I did most
of the damage to myself in this case. But due to these issues, I
don't feel like I learned hardly anything over the past two semesters.
4302 focused on approximations of more complex systems, but it
usually boiled down to what we talked about in 4301, so I ended up
getting lost even more. Now at the end of the semester, I can
confidently say that the assignments and exams I turned in for 4302
are some of the worst work I've ever done as a student.
One of the strangest things to me was that the physics students in
my class did not have any of these issues. They were able to
find information outside of class, they were able to internalize
information about wave functions and potentials and whatnot. I think
one of the primary differences is that we've been trained completely
differently over the course of our years at college: I've studied
discrete, deterministic systems, and they've studied continuous,
dubiously-deterministic systems. They'd all taken more math than I
had, specifically Partial Differential Equations, which is roughly
60% of QM in my experience. They succeeded in the course as I watched
in awe and reverence.
Anyways, that's about it. In summary, QM is not a course for
people who think they can cruise through it like I did. If you want
to take this course, prepare to be in for some pain. Thank you for
reading,
Charles Averill