# PHY1520H F GENERAL Quantum Mechanics

## Official description

1. Review of Postulates of Quantum Mechanics

Hilbert Spaces, Density Matrix

1. Quantum Dynamics

Evolution Operator, Heisenberg vs. Schrodinger Picture

WKB (Semiclassical) Approximation

Coherent States

Electron in a Magnetic Field

1. Symmetry in Quantum Mechanics

Parity, Time Reversal

Translation, Electron in a Periodic Potential, Bloch’s Theorem

Disordered Lattices and Localized States

Green’s Function Method

1. Perturbation Theory

Time-independent: Rayleigh-Schrodinger and Brillouin-Wigner series expansions

Time-dependent perturbation theory: Fermi’s Golden Rule, Absorption and Emission of Light from Atoms

1. Variational Methods

Electron in a Deformable Elastic Medium

1. Scattering Theory

Lippman-Schwinger Integral Equation

Partial Waves

S-matrix and T-matrix

Evaluation will be 60% homework and 40% final exam.

Textbook
                            Modern Quantum Mechanics 2nd edition by J.J. Sakurai and J. Napolitano.
If desired, the digital eBook is available on VitalSource https://www.vitalsource.com/en-ca/

course title
PHY1520H F GENERAL
session
fall
group
general course
time and location
No in-person classes, but video-taped lectures and will be uploaded on a weekly basis to Quercus. Assignments, lecture notes and other course information will also be posted on Quercus. A weekly, live, online Q&A session will be available for students with questions about lecture material. A weekly, live, online, office hour will be conducted by the TA for students with questions about homework.
instructor

#### Delivery Methods

In Person

A course is considered In Person if it requires attendance at a specific location and time for some or all course activities.*.

* Subject to adjustments imposed by public health requirements for physical distancing.

Online - Synchronous
A course is considered Online Synchronous if online attendance is expected at a specific time for some or all course activities, and attendance at a specific location is not expected for any activities or exams.
Asynchronous
A course is considered Asynchronous if it has no requirement for attendance at a specific time or location for any activities or exams.