My notes for “Graduate Quantum Mechanics” (PHY1520H) taught by Prof. Arun Paramekanti, fall 2015. (435 pages), are now available on paper (black and white) through kindle-direct-publishing for $12 USD.
This book is dedicated to my siblings.
Kindle-direct-publishing is a print on demand service, and allows me to make the notes available for pretty close to cost (in this case, about $6 printing cost, $5 to amazon, and about $1 to me as a token royalty). The notes are still available for free in PDF form, and the latex sources are also available should somebody feel motivated enough to submit a merge request with corrections or enhancements.
This grad quantum course was especially fun. When I took this class, I had enjoyed the chance to revisit the subject. Of my three round match against QM, I came out much less bloody this time than the first two rounds.
These notes are no longer redacted and include whatever portions of the problem I completed, errors and all. In the event that any of the problem sets are recycled for future iterations of the course, students who are taking the course (all mature grad students pursuing science for the love of it, not for grades) are expected to act responsibly, and produce their own solutions, within the constraints provided by the professor.
phy1520.V0.1.9-3 (June 10, 2019)
- First version posted to kindle-direct successfully.
- Lots of 6×9 formatting fixes made.
- Add commas and periods to equations.
- Remove blank lines that cause additional undesired indenting (implied latex \par’s).
May 18, 2016
ece1229, ece1254, phy1520, phy1610, phy356, phy450, phy452, phy454, phy456, phy485, phy487, University of Toronto
I started my formal re-education program back in 2010 after 20 years out of school. The first few courses were particularly tough after such a long break from school (and exam based courses still are), but I’m getting the hang of playing that game again. Here’s my score so far:
Crs Code Title Wgt Mrk Grd CrsAvg
PHY356H1 Quantum Mechanics I 0.50 78 B+ C+
PHY450H1 Rel Electrodynamics 0.50 78 B+ *
PHY456H1 Quantum Mechanics II 0.50 72 B- C+
PHY454H1 Continuum Mech 0.50 85 A B
PHY485H1 Adv Classical Optics 0.50 85 A *
PHY452H1 Basic Stat Mechanics 0.50 81 A- B-
PHY487H1 Condensed Matter I 0.50 80 A- B+
ECE1254H Modeling of Multiphysics Systems 0.50 A+
ECE1229H Advanced Antenna Theory 0.50 A-
PHY1520H Quantum Mechanics 0.50 A-
PHY1610H Scientific Computing for Physicists 0.50 A+
This last grad course is the only one of which they gave (informally through email) a non-letter grade (97). That one happened to be very well suited to me, and did not have anything based on exams nor on presentations (just assignments). They were demanding assignments (and fun), so I had to work really hard for that 97.
As a returning student I really suck at classes that have marks that are highly biased towards exams. My days of showing up late for class, sleeping through big chunks of the parts that I did get their in time for, and still breezing through the exams are long gone. Somehow in my youth I could do that, and still be able to quickly and easily barf out all the correct exam answers without thinking about it. I got a 99 in first year calculus doing exactly that, although it helped that the Central Technical School’s math department kicked butt, and left Prof Smith with only a review role.
Now I take a lot more time thinking things through, and also take a lot of time writing up my notes (which would sometimes have been spent better doing practise problems). It’s funny thinking back to undergrad where I had such scorn for anybody that took notes. Now I do just that, but in latex. I would be the object of my own scorn X10, if I met my teenage self again!
I’ve posted a first update of my aggregate notes for PHY1520H Graduate Quantum Mechanics, taught by Prof. Arun Paramekanti. This includes lecture notes up to lecture 5, my ungraded solutions for the first problem set, and a number of worked problems from chapter 1 and 2 of Sakurai done as review preparation for the course (since I hadn’t done QM since 2011).
Most of the content was posted individually in the following locations. Bug fixes and enhancements to the original documents will only be made in the aggregate notes.
- October 01, 2015 time evolution of coherent states, and charged particles in a magnetic field
- September 30, 2015 Density matrix and spin
- September 29, 2015 Quantum Harmonic oscillator and coherent states
- September 28, 2015 Can anticommuting operators have a simulaneous eigenket?
- September 26, 2015 Lagrangian for magnetic portion of Lorentz force
- September 24, 2015 Density matrix (cont.)
- September 24, 2015 Constant magnetic solenoid field
- September 22, 2015 Lighting review
- September 20, 2015 Entropy when density operator has zero eigenvalues
- September 17, 2015 Lighting review
- September 17, 2015 Gauge transformed probability current
- September 15, 2015 Gauge transformation
- September 10, 2015 Generalized Gaussian integrals
- September 07, 2015 Free particle propagator
- September 05, 2015 Partition function and ground state energy
- September 05, 2015 Correlation function
- September 02, 2015 Momentum space representation of Schrodinger equation
- September 02, 2015 SHO translation operator expectation
- September 01, 2015 Quantum Virial Theorem
- August 31, 2015 A symmetric real Hamiltonian
- August 29, 2015 Operator matrix element
- August 21, 2015 Hermite polynomial normalization constant
- August 19, 2015 Relation of probability flux to momentum
- August 19, 2015 Diagonalizating the Quantum Harmonic Oscillator
- August 14, 2015 Heisenberg picture position commutator
- August 13, 2015 Heisenberg picture spin precession
- August 13, 2015 Dynamics of non-Hermitian Hamiltonian
- August 07, 2015 Translation operator problems
- August 05, 2015 More ket problems
- July 28, 2015 Cascading Stern-Gerlach
- July 27, 2015 Bra-ket and spin one-half problems
- July 23, 2015 bra-ket manipulation problems
- July 21, 2015 Pauli matrix problems
- July 19, 2015 An observation about the geometry of Pauli x,y matrices
- July 06, 2015 Schwartz inequality in bra-ket notation
I start the lectures for grad Quantum Mechanics (PHY1520H) tomorrow, taught by Prof. Arun Paramekanti.
The curriculum has scary range of material, although some of it will be review. As prep for that, I’ve been working some problems, and have also explored a few interesting details and digressions. My notes for that preparatory work, collecting a number of individual posts from over the summer, is now posted.