Embedded Files
EE123 A, Fundamentals of Solid-State I, Fall 2016, UCLA
Instructor: Professor Marko Sokolich
Teaching assistant: Qiming Shao
Discussion section: 9:00 -9:50 am Monday, BOELTER 5419
Office hours: 10 - 11 am Monday, 3 - 4 pm Tuesday, TA room at Engineering IV 6th floor
Week #1 discussion section notes
In this week, we are going to review the application of time-independent Schrödinger equation in solving the single particle in an infinite square well problem. Then, we will try to qualitatively understand what will happen when the well is not infinite. We also qualitative treat the case of a particle in two closely spaced finite wells. This section will be a good introduction for the covalent bonding (e.g., electron in H+ molecules) in the following lectures.
Key points: time-independent Schrödinger equation, separation of variables, normalization, continuity boundary conditions, odd and even functions
References: [1] https://en.wikipedia.org/wiki/Finite_potential_well
[2] David Griffiths, introduction to quantum mechanics, second edition, chapter two
Week #2 discussion section notes (see attachment)
Two closely spaced finite square potential wells and its analogy to the electron in H+ molecule;
Reciprocal space and lattice vector;
Bragg's law and diffraction conditions
Week #3 discussion section notes
Phonon dispersion of one-dimensional (single) atom chain
Long-wavelength limit; Brillouin zone; group velocity
Week #4 discussion section notes (see attachment)
Phonon dispersion of diatomic linear lattice with mass M1 and M2 (M1>M2)
Quantization of elastic waves - phonon
Week #5 discussion section notes
Introduce my approach to solving any homework problem (see attachment)
Homework problems: 1. phonon dispersion of monoatomic linear lattice with different force constants
2. density of states in 3D, 2D and 1D
3. why metals do not form simple cubic structure
week #6 (no discussion section since I am out of town for MMM conference)
Week #7 discussion section notes
Review of midterm questions
One important question is to know how to use three types of distribution functions: Maxwell-Boltzmann, Fermi-Dirac, Bose-Einstein
Week #8 discussion section notes
Kronig-Penney model
Week #9 discussion section notes
Central equation, k-space of Schrödinger equation, and its three applications
Empty lattice approximation (free electron model), band gap at the boundary of first Brillouin zone, energy bands near the boundary
week #10 discussion section notes
Application of central equation for empty lattice approximation, that is, calculation of energy bands along [111] for fcc crystal structure
Two-dimensional maximum surface resistance (discussed in the office hour)
Google Sites
Report abuse