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Paradigm: Periodic Potentials

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Catalogue Description:

PH 427/527 PARADIGMS IN PHYSICS: PERIODIC SYSTEMS (2 credits)
Quantum waves in one-dimensional periodic systems; Bloch waves, band structure, phonons and electrons in solids, reciprocal lattice, x-ray diffraction. PREREQ: PH 424/524.

Short Course Description:

What happens when the same pattern repeats itself over and over again? Consideration of such systems is the first step in our understanding of the complex picture of solid state materials.

In PH427, we study a system of coupled classical oscillators, discover the dispersion relations for the cases when they are all identical and when there are two or three different types, and make the connection to phonons in a solid. We calculate specific heats of a solid using various models. We also solve the Schroedinger equation in a periodic potential in order to gain some insight into the band structure of the electron energy spectrum. We make the connection to the description in terms of molecular orbital theory. Other systems such as semiconductors are studied, as well.

The course includes an integrated laboratory exercise, several computer worksheets, as well as traditional lectures and homework assignments. Both group and individual efforts will be emphasized.

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