Course

Riemann tensor and its relatives

Infinite Dimensional Hilbert Space and Unbounded Operators

Connections and geodesics

Poincare group, locally flat coordinate

EPR, Bell nonlocality, quantum teleportation (N&C section 2.6 + supplementary, N&C section 1.3.7)

Operational quantum mechanics – Bloch sphere, mixed states, Schmidt decomposition (N&C section 1.2, 2.4, 2.5)

Operational quantum mechanics – postulates (N&C section 2.2, covering 2.2.6 through 2.2.9)

Introduction, Operational quantum mechanics – postulates (N&C section 2.2, covering 2.2.1 through 2.2.5)

Energy and momentum of a relativitic particle, particle couples to electromagnetism

Action principle for electromagnetism and point particle, Noether theorem

Four-dimensional space time, Maxwell equations again, Lorentz transformations.

Maxwell equations and electromagnetic wave solutions.