## PH424: 1d Waves

In Winter 2013 the course is being taught Week 5 - Week 7 by Prof. Ethan Minot. The course is part of the Paradigms in Physics series.

## Calendar

#### Week 5

1MIntro to waves Basic vocabulary & concepts. Demo “the wave machine”. Traveling & standing waves. Phase, group, and material velocity. Instructor's lecture notes day1.pdfMain 9.1, 9.3; Grif. EM 9.1.1, 9.1.2
2TuSolution to wave equationNon-dispersive wave equation. Initial conditions, boundary conditions. Dispersion relation. Standing wave demo/lab. Standing wave/dispersion worksheet. Newton's law: Waves in a rope. Instructor's lecture notes day2.pdfMain 9.0; Grif. EM 9.1.1; Taylor 16.1-16.3
3WPropagation of wavesExamples of non-dispersive systems vs. dispersive systems. Reflection and transmission from a boundary of two materials. Instructor lecture notes day3.pdfMain 9.2; Grif. EM 9.1.3 hw1
4ThLab experimentComplete reflection and transmission coefficients. Impedance. Propagation of waves in a coaxial cable. Data acquisiton, class discussion & analysis. Experiment guide,Guidelines for write up. Instructor lecture notes day4.pdf.Main 9.5, 10.3; Grif. EM 9.2.1
5FPropagation of wavesPropagation & attenuation. Analysis continuation. Attenuation. Instructor notes day5.pdfMain 9.2; Grif. EM 9.1.3 hw2

#### Week 6

6MEnergy in wavesKinetic energy density, potential energy density. Total energy. Instructor lecture notes day6.pdf.Main 9.4
7TuSuperposition of wavesEnergy density worksheet. Superposition & Fourier analysis. Superposition worksheet. Instructor lecture notes day7.pdfMain 11.1-11.3; PH 421 notes
8WWave Functions in Quantum MechanicsThe wave function. Probability density. Position, momentum & energy operators. Operators worksheet. Instructor lecture notes day8.pdfMcIntyre 5.1-5.3hw3
9ThWave equation in quantum mechanicsThe finite square well. Eigenvalues, eigenfunctions of bound states of a finite well potential. Instructor lecture notes day9.pdfMcIntyre 5.2-5.6
10FQuantum statesReview the finite square well. Probability density, expectation values, normalization. Superposition & measurement; square well examples. Instructor lecture notes day10.pdf McIntyre 5.1-5.6hw4