====== Paradigms in Physics ====== ===== PH424: 1d Waves ===== In Winter 2013 the course is being taught Week 5 - Week 7 by Prof. [[http://www.science.oregonstate.edu/~minote/|Ethan Minot]]. The course is part of the [[http://www.physics.orst.edu/paradigms/|Paradigms in Physics]] series. *[[Course Info 2013|Course Info]] ===== Calendar ===== ===Week 5=== ^Day^^Topic^Summary^Additional Reading^Assignments| |[[1]]|M|Intro to waves| Basic vocabulary & concepts. Demo "the wave machine". Traveling & standing waves. Phase, group, and material velocity. Instructor's lecture notes {{:day1.pdf|}}|Main 9.1, 9.3; Grif. EM 9.1.1, 9.1.2 | | |[[2]]|Tu|Solution to wave equation|Non-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.pdf|}}|Main 9.0; Grif. EM 9.1.1; Taylor 16.1-16.3| | |[[3]]|W|Propagation of waves|Examples of non-dispersive systems vs. dispersive systems. Reflection and transmission from a boundary of two materials. Instructor lecture notes {{:day3.pdf|}}|Main 9.2; Grif. EM 9.1.3 |[[hw1_2013|hw1]]| |[[4]]|Th|Lab experiment|Complete reflection and transmission coefficients. Impedance. Propagation of waves in a coaxial cable. Data acquisiton, class discussion & analysis. {{:coaxlab_2013.pdf|Experiment guide}},{{:coaxlab_worksheet_2013.pdf|Guidelines for write up}}. Instructor lecture notes {{:day4.pdf|}}.|Main 9.5, 10.3; Grif. EM 9.2.1 | | |[[5]]|F|Propagation of waves|Propagation & attenuation. Analysis continuation. Attenuation. Instructor notes {{:day5.pdf|}}|Main 9.2; Grif. EM 9.1.3 |[[hw2_2013|hw2]]| ===Week 6=== ^Day^^Topic^Summary^Additional Reading^Assignments| |[[6]]|M|Energy in waves|Kinetic energy density, potential energy density. Total energy. Instructor lecture notes {{:day6.pdf|}}.|Main 9.4 | | |[[7]]|Tu|Superposition of waves|{{:energy_worksheet.pdf|Energy density worksheet}}. Superposition & Fourier analysis. {{:superposition_group_activity.pdf|Superposition worksheet}}. Instructor lecture notes {{:day7.pdf|}}|Main 11.1-11.3; PH 421 notes| | |[[8]]|W|Wave Functions in Quantum Mechanics|The wave function. Probability density. Position, momentum & energy operators. {{:operators_on_functions.pdf|Operators worksheet}}. Instructor lecture notes {{:day8.pdf|}}|McIntyre 5.1-5.3|[[hw3_2013|hw3]]| |[[9]]|Th|Wave equation in quantum mechanics|The finite square well. Eigenvalues, eigenfunctions of bound states of a finite well potential. Instructor lecture notes {{:day9.pdf|}}|McIntyre 5.2-5.6 | | |[[10]]|F|Quantum states|Review the finite square well. Probability density, expectation values, normalization. Superposition & measurement; square well examples. Instructor lecture notes {{:day10.pdf|}} |McIntyre 5.1-5.6|[[hw4_2013|hw4]]| ===Week 7=== ^Day^^Topic^Summary^Additional Reading^Assignments| |[[11]]|M|Quantum states|Superposition & measurement; square well examples. Instructor lecture notes {{:day11.pdf|}}|McIntyre 5.1-5.6| | |[[12]]|Tu|Time evolution of quantum states|Predicting the outcome of measurements. Time dependence derived from S. Eq and separation of variables. Time development of arbitrary states. Animate on Mathematica. Instructor lecture notes {{:day12.pdf|}}|McIntyre 5.7, 6.1-6.2| | |[[13]]|W|Time evolution of quantum states + Free particles|Superposition state can radiate light. The Unbound states. Free particles. Instructor lecture notes {{:day13.pdf|}} |McIntyre 6.3|[[hw5_2013|hw5]]| |[[14]]|Th|Scattering|Free particle wavefunctions. Kinesthetic activity. S. Equation is a dispersive wave equation. Wave packets spread out and group velocity differs from phase velocity. Reflection, transmission. Tunneling. Instructor lecture notes {{:day14.pdf|}} |McIntyre 6.4-6.5 | | |[[15]]|F|Tunneling and Review|The WKB approximation. The Heisenberg Uncertainty relation. Instructor lecture notes {{:day15.pdf|}}. {{:topics_for_final.pdf|}}.|McIntyre 6.4-6.5 |[[hw6_2013|hw6]]| The final will be held on Monday evening of Week 8.