PhD Course DFT, Module 1

Author: Ghost

Created: 2018-09-17 01:44am

Edited: 2018-11-13 02:26am

Description:

Module 1 content:

1) Fermionic * algebra and its representation in the Fock space.
2) Unitary canonical transformations.
3) Quadratic Hamiltonians and Wick theorem.
4) Field operators.
5) The many-electron problem in second quantization.
6) The free-electron gas.

This module is already available in "Test Course for Nicola Lanata - au597385".

Intended Learning Outcomes:

Account for the formulation of the many-electron problem in second quantization
Construct Hamiltonian of solids and molecules
Solve free-fermion models

	Resources		Tasks		Supports
	Introduction to course and Module 1: Friday
	Introduction of the course using Power Point: general scope, learning objectives, blackboard page. Detailed description of activities and scope of Module 1, with special focus to first week of activities.	→	Listen and ask questions (20 min). ↓	←	None
	None		Students introduce themselves to the class (academic background, motivations for taking the course, field of research, etc...), (15 min). ↓	←	Teacher and students can ask questions.
	Introduction of tools (Blackboard, pencasts and readings), assignments and assessments for coming weeks of on-line and in-class activities.	→	Inspect the planned online activities in groups, make sure that everything works and ask questions if something is unclear (20 min). ↓	←	Class divided in groups and teacher available for questions.

	Weekly online activities (until Wednesday ad midnight)
	Lecture notes, pencast and references on planned weekly topics (see Test Course for Nicola Lanata - au597385 for details). The on-line content is divided in small sections alternated with related assignments.	→	Study the on-line material and upload the assignments (see below). ↓	←	Feedback from peers (and, if necessary, directly from teacher) through blog discussions. Active participation in blog is encouraged but not enforced or evaluated.
←	The assignments must be uploaded on blackboard either in the form of typed text & equations or in the form of webcasts/pencasts. It is explicitly requested that the mathematical steps are supplemented by a detailed and clear description of the procedure (metacognition). This is especially important for the assignments that could not be completed.	←	The time necessary for solving each assignment can vary (an estimate is provided on blackboard). ↓	←	Evaluation with rubrics. Preliminary feedback is provided online by teacher before class on Friday. Students will have a chance to re-upload the assignments after the in-class activity of Friday (see below).

	In-class activity adjusted taking into account feedback of on-line weekly activities (STREAM model) (Friday)
	Short lecture about previous weekly e-tivities and assignments from teacher on subjects requiring further clarifications.	→	Listen and ask related questions (20 min). ↓	←	None
	None.		Open discussion based on specific questions of students and outline online activities of next week (40 min). ↓	←	Face-to-face discussion involving students and teacher.
	Teacher introduction to next week's topics and out-of-class activities.		Listen and ask related questions (up to 30 min). ↓	←	None
←	Students are given the opportunity to upload an updated version of the assignments until Tuesday at midnight of the next week. This is the final version of the assignments, which will be evaluated using rubrics.	←	Students can work on the assignments in group (optional).	←	Class divided in groups of 2 or 3 (designed based on outcome of online evaluation of assignments).

Additional information

Module 1 consists of an introduction lecture (rows 1-3) and 4 weekly cycles (each one with the structure outlined in rows 4-9).