PARADIGMS IN PHYSICS PH424/524:
1-Dimensional Waves
http://www.physics.oregonstate.edu/~tate/COURSES/ph424

MWF 1-2pm, TTh 12-2pm, WGR 304

Syllabus for Winter 2009
 Last Update: 2/23/09 11:59 PM

 General Information

External Links

Paradigms homepage

Grades on Blackboard

Instructor: Janet Tate, WGR 485, 737-1700
tate_at_physics.oregonstate.edu
Office Hours: Tu/Th 10:30-11:30, F 11-12
or by appointment.

TA: Jeff Hazboun, WGR 207, 737-1726
hazbounj_at_onid.orst.edu
Office Hours: xxx

 

 

 

Date
Room

Topics

Reading
Required before class;
Recommended (old textbook)
Link to texts

Homework

M 2/2
ppt
pdf

Introduction

Basic vocabulary & concepts
Functions of 2 variables
Traveling & standing waves
Phase, group, and material velocity

Main 9.1, 9.3
Griffiths EM
9.1.1, 9.1.2

HW 1 (posted 1/31)
HW 2
HW 3

T 2/3

ppt
pdf

Non dispersive wave equation

Initial conditions, boundary conditions
Wave eqn worksheet

Standing wave demo/lab

Traveling & standing waves
Dispersion relation
Newton's law: Waves in a rope

Main 9.0
GEM 9.1.1
Taylor 16.1, 16.2, 16.3
(
ThortonMarion 13.4, 13.6, 13.7)

Standing wave worksheet

 

W 2/4
ppt
pdf

Reflection & Transmission

Impedance
Reflection and transmission

Main 9.2

GEM 9.1.3
(TM example 13.3)

HW 1W due
Solution 1W

Th 2/5

 

Propagation of waves in a coaxial cable (lab)

Lab assignment
Reflection, transmission, attenuation
Analysis

Main 10.3
Lab assignment
GEM 9.2.1
Main 9.5
(
TM 13.8)

 

F 2/6

ppt
pdf

Propagation of waves in a coaxial cable (analysis)

Reflection, transmission, attenuation

GEM 9.2.1
Main 9.5

(TM 13.8)

HW 1F due
Solution 1F

M 2/9
ppt
pdf

 Energy

Kinetic, potential and total energy
Energy worksheet

 

Main 9.4

 

 

 

T 2/10
ppt
pdf

Fourier analysis

Superposition & Fourier analysis
Group velocity (postponed)

Main 11.1-11.3
Main p. 217-220
(
TM 13.9)

 

W 2/11
 ppt
pdf

Wave equation in quantum mechanics

DeBroglie wavelength
Position, momentum & energy operators
The wave function

Course Packet: QM 5.1, 5.3, 5.5
Main 15.0, 15.1
(Griffiths QM 1.5, 1.6)

 

HW 2W (Lab Report) Due
Solution 2W

Th 2/12
ppt
pdf

Wave equation in quantum mechanics

Operator worksheet
Eigenvalues
Expectation values (intro)

Schroedinger wave equation

Separation of variables
Time dependent & time independent SWE
Finite Well

CPQM
(GQM 1.3, 1.4)

 

 

 

CPQM 5.7, 6.3
(GQM 1.1, 2.1)

 

F 2/13

ppt
pdf

The finite well potential

Bound states of a finite well potential
Eigenvalues, eigenfunctions
Infinite well as a limit of the finite well

CPQM 6.3
GQM 2.6
Krane Modern Ph

HW 2F due
Solution 2F

M 2/16

ppt
pdf

Quantum states

Superposition, measurement, normalization, probability density, expectation values

CPQM 5.6,
GQM 2.2

 

T 2/17

ppt
pdf

Quantum states

Superposition, measurement, normalization, probability density, expectation values

 Time development

Time development of eigenstates
Time development of arbitrary states
Wave packets & group velocity

CPQM xx
GQM 1.2

 

CPQM 6.5
GQM 2.1

 

W 2/18
ppt
pdf

Wave packets

Wave packets
Dispersion of the wave packet

CPQM 7
GQM 2.4

HW 3W due
Solution 3W

Th 2/19

ppt
pdf

Barriers, scattering and tunneling

Unbound states of the finite well (and barrier)
Discontinuous potentials
Reflection, transmission, tunneling

CPQM 7.3, 7.4
GQM 2.5, 2.6

 

F 2/20
ppt
pdf

Review

Connections between classical and quantum systems
Connections to PH425

 

HW 3F Due
Solution 3F

M 2/23
WGR 304

Final Exam 7:00 - 9:00
Exam solution

Practice Final

Equation sheet

 

 

 

 

Maple worksheets:  These may be useful.  Some have been used in class.  Most were written on early versions of Maple.  They all run on Maple 9.5, and probably on later versions, too.

mat_vel.mws explores concept of material velocity introduced in L1

initial_conditions.mws animates functions in L2 worksheet

reflection_trans.mws animates reflection at boundary between different media L3

complex_R.mws looks at consequences for R of complex k L5

energy.mws animates the energy density functions for traveling & standing waves L6

point_mass_string.mws (Hwk2)

animate_triangle.mws  (Hwk 2)

animate_superposition.mws animates superposition of infinite sq well potential solutions Lxx

Potential Wavefunctions 1_5.mw  KC Walsh's potential well/step/barrier animation Lxx