# PARADIGMS IN PHYSICS PH424/524: 1-Dimensional Waves Winter 2012

http://www.physics.oregonstate.edu/ph424
Last update: 13 February 2012

Instructor: Janet Tate, WGR 485, 737-1700; tate_at_physics.oregonstate.edu
Office Hours: Wed, Fri 2-3 (304F or 485), or by appointment.
Teaching Associate: Dr. Mary-Bridget Kustusch, WGR 491, 737-6080; mary.bridget_at_physics.oregonstate.edu
Office Hours: M,Tu,Th 3-4

Group velocity
M 2/6 Introduction
Basic vocabulary & concepts
Traveling & standing waves
Phase, group, and material velocity
Main 9.1, 9.3
Griffiths EM 9.1.1, 9.1.2
notes
HW 1 1-3 due Wed 2/8; 4-7 due Fri 2/10
Tu 2/7 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
Main 9.0
GEM 9.1.1
Taylor 16.1-16.3
notes
Standing Wave Data from class (Excel sheet)
W 2/8 Reflection & Transmission
Impedance
Reflection and transmission
Main 9.2
GEM 9.1.3
notes
HW1-W due ; Solution HW1-W
Th 2/9 Propagation of waves in a coaxial cable (LAB)
Data acquisiton, class discussion & analysis
Main 9.5, 10.3
GEM 9.2.1
Lab instructions
Analysis assignment (plot data), due tomorrow in class
F 2/10 Propagation & attenuation
Analysis continuation
Attenuation
Main 9.2
GEM 9.1.3
notes
HW 2 (W) = lab worksheet ,parts 1-4 due Wed 2/15, part 5 due Wed 2/22
& HW 2 (F) due Fri 2/17
HW1-F due; Solution HW1-F
M 2/13 Energy
Kinetic, potential energy density
Total energy
Energy density worksheet
Main 9.4
notes

Tu 2/14 Fourier analysis
Superposition & Fourier analysis
Superposition and Fourier worksheet
Main 11.1-11.3; pp.217-220
PH 421 notes
notes

W 2/15 Wave equation in quantum mechanics
The wave function
Position, momentum & energy operators
McIntyre 5.1-5.3
notes
HW2-W (lab) due (but not part 5); Solution HW2-W
Th 2/16 Wave equation in quantum mechanics
Probability density, expectation values, normalization
The finite square well
Eigenvalues, eigenfunctions of bound states of a finite well potential
Infinite well as a limit of the finite well
Review infinite square well: McIntyre 5.4, PH314
McIntyre 5.2-5.3
McIntyre 5.5-5.6
notes

F 2/17 Quantum states
Superposition & measurement; square well examples
McIntyre 5.1-5.6
notes
HW 3 due Wed 2/22 & Fri 2/24
HW2-F due; Solution HW2-F
M 2/20 Quantum states
Superposition & measurement; square well examples
McIntyre 5.1-5.6
notes

Tu 2/21 Schroedinger wave equation & time development
SWE & Separation of variables
Time development of arbitrary states
Unbound states
Free particle
Wave packets and group velocity
McIntyre 5.7
McIntyre 6.1-6.2
notes

W 2/22 Heisenberg uncertainty principle
Heisenberg uncertainty principle
Dispersion of the wave packet
McIntyre 6.3
notes
HW3-W due; Solution HW3-W
Th 2/23 Barriers, tunneling & scattering
Reflection, transmission
Tunneling
McIntyre 6.4-6.5
notes
HW2-W (lab) due (part 5 & 6)
F 2/24 Barriers, tunneling & scattering (cont'd)
The connection between classical and quantum waves
McIntyre 6.4-6.5
notes
HW3-F due; Solution HW3-F
Sun 2/26 Review Session
WGR 212
7pm. Special review; JT out of town previous Wed - Sat
M 2/27 Final Exam
WGR 304 and 304F
Review lab, notes, Main 9 & 10, McIntyre 5 & 6 practice exam
review sheet
Exam 2012 solution