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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.

                            Modern Quantum Mechanics 2nd edition by J.J. Sakurai and J. Napolitano.
If desired, the digital eBook is available on VitalSource
course title
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.

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.
A course is considered Asynchronous if it has no requirement for attendance at a specific time or location for any activities or exams.