• Length:
    5 Weeks
  • Effort:
    8–9 hours per week
  • Price:

    FREE
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  • Institution
  • Subject:
  • Level:
    Advanced
  • Language:
    English
  • Video Transcript:
    English

Prerequisites

Undergraduate degree in engineering or the physical sciences, specifically differential equations and linear algebra.

About this course

This course introduces the Schrödinger equation, using the tight-binding method to discuss the concept of bandstructure and E(k) relations, followed by an introduction to the NEGF method with simple illustrative examples. Concept of spinors is introduced along with the application of the NEGF method to spintronic devices.

No prior background in quantum mechanics or statistical mechanics is assumed. 


This course is a part of a Purdue initiative that aims to complement the expertise that students develop with the breadth at the edges needed to work effectively in today's multidisciplinary environment.  These serious short courses require few prerequisites and provide a general framework that can be filled in with self-study when needed.

What you'll learn

  • The Schrödinger equation
  • How the tight-binding model works
  • The concept of bandstructure and E(k) relations
  • Self-energy
  • Broadening
  • NEGF equations
  • Dephasing

Unit 1: Schrödinger Equation
Unit 2: Contact-ing Schrödinger
Unit 3: More Examples
Unit 4: Spin Transport

Text:   S. Datta, “Lessons from Nanoelectronics”, Part B: Quantum Transport, World Scientific, Second Edition 2017

The manuscript will be available for download at the course's website.

Meet your instructors

Shuvro Chowdhury
Teaching Assistant
Purdue University

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Learner testimonials

From Roald Hoffmann, http://en.wikipedia.org/wiki/Roald_Hoffmann , Cornell University
 "… the pedagogical imperative in research is very important to me, and so I really value a kindred spirit. Your (Datta's) online courses are just wonderful!"