From eb9c2ad0fccb2928aaf521f59187f4d5161fb4e4 Mon Sep 17 00:00:00 2001 From: Anton Akhmerov <anton.akhmerov@gmail.com> Date: Mon, 14 Jan 2019 21:28:46 +0000 Subject: [PATCH] reformulations of learning goals --- src/lecture_1.md | 4 ++-- src/lecture_3.md | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/src/lecture_1.md b/src/lecture_1.md index d7db62e8..9c49766f 100644 --- a/src/lecture_1.md +++ b/src/lecture_1.md @@ -19,7 +19,7 @@ Exercises: 2.3, 2.4, 2.5, 2.6, 2.8 After this lecture you will be able to: - Explain quantum mechanical effects on the heat capacity of solids (Einstein model) - - Compute occupation number, energy and heat capacity of a bosonic particle + - Compute the expected particle number, energy, and heat capacity of a quantum harmonic oscillator (a single boson) - Write down the total thermal energy of a material ### Einstein model @@ -133,7 +133,7 @@ $g(\omega)$ is the _density of states_: the number of normal modes found at each - Describe the concept of reciprocal space and allowed momenta - Write down the total energy of phonons given the temperature and the dispersion relation - - Estimate heat capacity due to phonons in high temperature and low temperature regimes + - Estimate heat capacity due to phonons in high temperature and low temperature regimes of the Debye model #### Reciprocal space, periodic boundary conditions Each normal mode can be described by a _wave vector_ ${\bf k}$. A wave vector represents a point in _reciprocal space_ or _k-space_. We can find $g(\omega)$ by counting the number of normal modes in k-space and then converting those to $\omega$. diff --git a/src/lecture_3.md b/src/lecture_3.md index c68aa827..b5a913c5 100644 --- a/src/lecture_3.md +++ b/src/lecture_3.md @@ -149,7 +149,7 @@ Therefore if each atom has a single electron in the outermost shell, these atoms - Explain the origins of interatomic forces - Compute vibrational spectra of small molecules in 1D - - Write down Hamiltonians and equations of motion of bulk materials (but not yet solve them) + - Formulate Hamiltonians and equations of motion of bulk materials (but not yet solve them) ## Adding repulsion -- GitLab