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