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In this video I discuss the basics of electron scattering within the free electron framework. This is video 9 of the 13 part series.

In this video the free electron gas model of ideal metals is applied to explain the behavior of metals in electrical and magnetic field, in particular the Hall effect is examined and the Hall coefficient derived. Electrical conductivity is derived in terms of the k-space representation. The empirical Matthiessen's rule is discussed. The thermal conductivity of metals is computed. Finally the Wiedemann-Franz law is presented and the reason that it deviates from the Lorenz number is explained in terms of the scattering within the reciprocal space representation. This is video 8 of the 13 part series.

In this video I introduce the free electron gas model for describing ideal metals. The Fermi-Dirac distribution is derived. The k-space formalism for describing the quantum solutions is presented and from this the density of states is presented. As a first application the heat capacity of metals is computed, which is shown to be two orders of magnitude smaller than the heat capacity of a classical gas, consistent with observation. This is video 7 of the 13 part series.

In this video I discuss the fundamentals of diffraction from crystals. In particular I derive the reciprocal space formalism for diffraction that allows for the Ewald and Brillouin zone constructions. The reciprocal space mathematics and associated diffraction description are necessary to understand the band theory of solids. This is video 6 of the 13 part series.

In this video I discuss bonding in ionic materials, in particular I derive and expression for the Madelung energy. I also give an overview of how to perform Ewald summations to determine the Madelung constant. This is video 3 of the 13 part series.

In this video I explain the quantum theory of bonding using a tight binding total energy model. We begin with s-valent homopolar bonding, and then extend the method to heteropolar bonding and p- and d-valent species. This is video 2 of the 13 part series.

In this video I introduce the Lennard-Jones potential that can be used to describe secondary bonding. I demonstrate how this, or any other atomic potential, can be used with thermodynamics to understand the physical properties of a solid. This is video 1 of the 13 part series.

In this video I discuss many-electron atoms and approximation methods for solving them including the Thomas-Fermi method and the Hartree-Fock self consistent field method. I give a brief primer on the calculus of variation and demonstrate its application in deriving the Hartree solution. This is video 10 of the 10 part series.

In this video I demonstrate how to use Rayleigh-Schrodinger perturbation theory to approximate solution for problems that deviate slightly from known solutions. Although only the non-degenerate case is shown, it is possible to expand this to the degenerate cases following examples given in common textbooks. As an example, the effect of gravitational attraction between the proton and electron in a hydrogen atom is approximated. This is video 9 of the 10 part series.

In this video I explain how the variational method can be used to approximate solutions to the ground state wave function. I give an example using this method to approximate the hydrogen atom's radial wave function. This is video 8 of the 10 part series.

In this video I demonstrate the mathematical solution to the Hydrogen atom in full detail. This is video 7 of the 10 part series.

In this video I discuss degeneracy arising from symmetry, exchange, and accident. I go on to demonstrate how exchange results in two classes of particles, one the behaves totally symmetric under exchange operations and the other which is anti-symmetric. Finally, I demonstrate that the anti-symmetric particles must obey the Pauli exclusion principle. This is video 6 of the 10 part series.

In this video I discuss the relationship between momentum, velocity, and position. The phase and group velocity are discussed. The momentum space representation of the wave function is derived and is shown to be related to the spatial representation of the wave function through a Fourier transform. The resulting coupling between the uncertainty in momentum and position is examined. This is video 5 of the 10 part series.

In this video I demonstrate how to solve the particle in a 1D box with infinite boundary potentials. Separation of variables is used allowing the spatial and temporal variables to be solve independently. The particular solution is used to express the general solution. The coefficients in the general solution are determined from an initial condition at t=0. The implication of the solution, as it pertains to the statistical interpretation of quantum mechanics is discussed. This is video 4 of the 10 part series.

In this video I discuss the four fundamental postulates that underly quantum mechanics. We look at the implications of these postulates on the statistical interpretation of quantum physics. This is video 3 of the 10 part series.

In this video I discuss the Stern-Gerlach experiment as it relates to the fundamentals of quantum mechanics. This is video 2 of the 10 part series.

In this video I discuss the history of quantum mechanics. This is video 1 of the 10 part series.

This social media account supports the official work of Prof. Scott P. Beckman as part of his employment at Washington State University (WSU). Currently, Prof. Beckman is an Associate Professor in the School of Mechanical and Materials Engineering (MME). He also is the acting interim Director of the Materials Science and Engineering Graduate Program (MSEP). WSU is a land grant institution, whose mission is to support the residents of the State of Washington and the United States through research, teaching, and outreach. Within the modern context, outreach to the community is best achieved electronically. The scientific and educational content here is distributed as part of WSU and Prof. Beckman’s commitment and obligation to public service. All content provided through this account is given free of charge and under an open source license. It is released through either a Creative Commons Attribution-ShareAlike license (CC BY-SA) or a GNU Public License version 3 (GPLv3) depending on the nature of the content. These licenses are intended to encourage the distribution and sharing of this content as well as the development and sharing of new open sourced material.