Peeter Joot's (OLD) Blog.

Math, physics, perl, and programming obscurity.

Posts Tagged ‘filling factor’

Final update of notes for PHY487 (condensed matter physics)

Posted by peeterjoot on January 20, 2014

Here is what will likely be the final update of my class notes from Winter 2013, University of Toronto Condensed Matter Physics course (PHY487H1F), taught by Prof. Stephen Julian.

Official course description: “Introduction to the concepts used in the modern treatment of solids. The student is assumed to be familiar with elementary quantum mechanics. Topics include: bonding in solids, crystal structures, lattice vibrations, free electron model of metals, band structure, thermal properties, magnetism and superconductivity (time permitting)”

This document contains:

• Plain old lecture notes. These mirror what was covered in class, possibly augmented with additional details.
• Personal notes exploring details that were not clear to me from the lectures, or from the texts associated with the lecture material.
• Assigned problems. Like anything else take these as is.
• Some worked problems attempted as course prep, for fun, or for test preparation, or post test reflection.
• Links to Mathematica workbooks associated with this course.
My thanks go to Professor Julian for teaching this course.

NOTE: This v.5 update of these notes is still really big (~18M).  Some of my mathematica generated 3D images result in very large pdfs.

Changelog for this update (relative to the first, and second, and third, and the last pre-exam Changelogs).

January 19, 2014 Quadratic Deybe

January 19, 2014 One atom basis phonons in 2D

January 07, 2014 Two body harmonic oscillator in 3D
Figure out a general solution for two interacting harmonic oscillators, then use the result to calculate the matrix required for a 2D two atom diamond lattice with horizontal, vertical and diagonal nearest neighbour coupling.

December 04, 2013 Lecture 24: Superconductivity (cont.)

December 04, 2013 Problem Set 10: Drude conductivity and doped semiconductors.

Posted in Math and Physics Learning. | Tagged: , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a Comment »

New post of phy487 notes (Condensed Matter Physics)

Posted by peeterjoot on October 21, 2013

Here’s an update of my (incomplete) lecture notes for the Winter 2013, University of Toronto Condensed Matter Physics course (PHY487H1F), taught by Prof. Stephen Julian. This makes updates to these notes since the first version posted.

NOTE: This v.2 update of these notes is really big (~18M), despite being only half way into the course. My mathematica generated images appear to result in very large pdfs, and I’m looking at trying pdfsizeopt to reduce the size before posting the next update (or take out the density plots from my problem set 1 solutions).

This set of notes includes the following these additions (not many of which were posted separately for this course)

October 21, 2013 Free electron model (cont.)

October 20, 2013 Anharmonic oscillator

October 20, 2013 Exponential solutions to second order linear system

October 18, 2013 Free electron model of metals

October 17, 2013 Density of states and Deybe temperature

October 11, 2013 Discrete Fourier transform

October 11, 2013 Thermal properties

October 11, 2013 Diffraction and phonons

October 07, 2013 Thermal properties

October 04, 2013 Phonons (cont.)

October 04, 2013 Reciprocal lattice and Ewald construction

October 01, 2013 Structure factor

September 27, 2013 Diffraction

September 26, 2013 Bonding and lattices

September 23, 2013 General theory of diffraction

September 21, 2013 Crystal structures

September 19, 2013 Orbitals, bonding and lattice calculations

September 16, 2013 Bonding and lattice structure

September 16, 2013 Bonding and lattice structures

September 09, 2013 Course overview

Posted in Math and Physics Learning. | Tagged: , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments »

First post of phy487 (Condensed Matter Physics) notes posted.

Posted by peeterjoot on October 4, 2013

I’ve posted a first (incomplete) draft of my lecture notes for the Winter 2013, University of Toronto Condensed Matter Physics course (PHY487H1F), taught by Prof. Stephen Julian.

Official course description:

“Introduction to the concepts used in the modern treatment of solids. The student is assumed to be familiar with elementary quantum mechanics. Topics include: bonding in solids, crystal structures, lattice vibrations, free electron model of metals, band structure, thermal properties, magnetism and superconductivity (time permitting).”

In this course there will be an attempt to cover

  • Bonding and crystal structure: Why solids form, describing periodic order mathematically, diffraction.
  • Lattice vibrations: .elementary excitation. of a periodic array of atoms (periodicity allows a 10 23 body problem to be solved).
  • Electrons in solids: Explaining this introduces a need for quantum mechanics.  Periodicity -> band structure -> insulators vs metals.
  • Electrical conduction in solids. (metals and semiconductors).

This document contains:

  • Plain old lecture notes. These mirror what was covered in class, possibly augmented with additional details.
  • Personal notes exploring details that were not clear to me from the lectures, or from the texts associated with the lecture material.
  • Assigned problems. Like anything else take these as is. I may or may not have gone back and corrected errors, and did not see the graded versions of the last two problem sets.
  • Some worked problems attempted as course prep, for fun, or for test preparation, or post test reflection.
  • Links to Mathematica workbooks associated with these notes.

Posted in Math and Physics Learning. | Tagged: , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 4 Comments »