Quantum Transport: Scattering Matrix Approach

This lecture covers the scattering matrix approach to quantum transport, focusing on the conductance distribution and reflection probability. The instructor explains the concept of conductance in terms of scattering matrices and transmission probabilities, highlighting the difference between right-moving and left-moving electrons. The lecture delves into the expression of electrical current in terms of kinetic energy and the Dirac distribution. It also discusses the quantum of conductance and resistance, emphasizing the work of R. Landauer. The presentation concludes with a detailed analysis of the conservation laws and unitarity in quantum transport.