Physics 200: Relativity and Quanta

2010 Course webpage

UBC Physics 200 lecture-by-lecture schedule
Course content lecture-by-lecture

Updated often. Check here for pre-lecture reading assignments, problem sets, deadlines, handouts, simulations and other stuff.

Lecture topics are tentative until the lecture has been given - things will probably move around a bit as depending on how fast I am going



#
Date
Pre-lecture reading assignment
The lecture
Handouts (including homework assigned)
Reminders
1
Wed
09/08
 
  • Course organization and syllabus
  • What is 'Modern Physics?'
Lecture Notes
Syllabus
Grading rubric for Problem Sets
Problem Set 1 Part One Problem Set 1 Part Two
 
Tutorial #1
2
Fri
09/10
37.1, 37.2

First reading quiz due by noon Fri!
  • Frames of reference, inertial frames of reference
  • Principle of Relativity
  • Galilean transformations
  • Galilean relativity of Newton's laws
Lecture Notes
Clicker questions and annoucements
   
3
Mon
09/13
37.3
  • Light is an electromagnetic wave
  • The search for aether and the Michelson-Morley experiment
  • Einstein's principle of relativity
Lecture Notes
Clicker questions and annoucements
Flash applet of the Michelson-Morley experiment
Notes on the Michelson-Morley experiment for the interested (source: Modern Physics by Paul A. Tipler)
   
4
Wed
09/15
37.4
  • Setting up a coordinate system for time and distance measurement
  • Comparing distances transverse to the motion
Lecture Notes
Clicker questions
Problem Set 2 PS 1 due
(both parts)
Tutorial #2
5
Fri
09/17
37.6
  • Einstein's light clock
  • Time dilation
Lecture Notes
Clicker questions
   
6
Mon
09/20
37.7, 37.5
  • Time dilation continued
  • Relativity of simultaneity
Lecture Notes
Clicker questions
An applet showing Einstein's light clock in action.
   
7
Wed
09/22
37.8
  • Length contraction
  • Lorentz transformations
  • The twin 'paradox'
Lecture Notes
Clicker questions
Problem Set 3 PS 2 due
Tutorial #3
8
Fri
09/24
None - no reading quiz
  • More on twin paradox
  • Addition of velocities
  • The invariant spacetime interval
Lecture Notes
Clicker questions
   
9
Mon
09/27
None - no reading quiz
  • Invariance of spacelike interval
  • Geometric interpretation of Lorentz Transformations
Lecture Notes
Clicker questions
   
10
Wed
09/29
37.9
  • Spacelike and timelike separations
  • Proper time and length
  • Spacetime diagrams II - how do objects move?
Lecture Notes
Clicker questions
Problem Set 4 PS 3 due
Tutorial #4
11
Fri
10/01
37.10
  • More on proper time
  • More on the spacetime interval
  • Collisions
Lecture Notes
Clicker questions
   
12
Mon
10/04
None - no reading quiz
  • Relativistic momentum
  • Relativistic energy
Definitions of proper time, length and distance
Lecture Notes
Clicker questions
Derivation of relativistic formulas for momentum and energy (source: Special Relativity by A.P.French, a really good book if you want to learn SR in a lot more detail).
   
13
Wed
10/06
None - no reading quiz
  • Review for midterm
Lecture Notes

  PS 4 due
Tutorial #5
14
Fri
10/08
None - no reading quiz
Midterm #1
   
15
Wed
10/13
None - no reading quiz
  • Lorentz transformations of momentum and energy
  • Mass as an invariant
Lecture Notes
Clicker questions
Detailed answer to the second clicker question
Problem Set 5  
Tutorial #6
16
Fri
10/15
38.1-38.7
  • The massless limit
  • More on the meaning of E=mc2
Lecture Notes
Clicker questions
  Last day for withdrawal
17
Mon
10/18
38.8-38.9 QUANTUM MECHANICS
  • Classical description of the properties and production of electromagnetic radiation
Lecture Notes
Clicker questions
   
18
Wed
10/20
39.1, 39.2
  • The photoelectric effect: the experiment
  • Introduction to the photon proposal
Lecture Notes
Clicker questions
Problem Set 6 PS 5 due
Tutorial #7
19
Fri
10/22
39.3
  • More on the photoelectric effect
Lecture Notes
Clicker questions
A simulation of the photoelectric effect
   
20
Mon
10/25
None - no reading quiz
  • The Compton effect (see also Tutorial 7)
  • Further evidence for the photon proposal: black body radiation
Lecture Notes
Clicker questions
A simulation of black body radiation
   
21
Wed
10/27
None - no reading quiz
  • Review of evidence for the quantum nature of light
  • Photomultipliers
  • Polarizers
Lecture Notes
Clicker questions
Problem Set 7 PS 6 due
Tutorial #8
22
Fri
10/29
None - no reading quiz
  • Photons, polarization and QM
Lecture Notes
Clicker questions
Notes and practice problems on complex numbers  
23
Mon
11/01
None - no reading quiz
  • Quantum states as superpositions of eigenstates
  • Probabilities from superpositions
  • Basic framework of quantum mechanics from the polarizer model
Lecture Notes
Clicker questions
Notes on polarization of waves and polarizers
Notes on photon polarization and the rudiments of quantum mechanics
(courtesy of Prof. van Raamsdonk)
 
24
Wed
11/03
40.1, 40.2
  • Double slit experiment with photons
  • Explanation via quantum superposition and probabilities
Lecture Notes
Clicker questions
Problem Set 8 PS 7 due
Tutorial #9
25
Fri
11/05
39.4
  • Other failures of the classical picture: instability of atoms and atomic spectra
  • Double-slit experiment for electrons
  • Matter waves and de Broglie wavelength
Lecture Notes
Clicker questions
   
26
Mon
11/08
40.3, 40.4
  • Wavefunctions
  • Measurement and wavefunction collapse
Lecture Notes
Clicker questions
   
27
Wed
11/10
40.5
  • Wavefunctions at fixed momentum as waves
  • Wavepackets
  • Spread in momentum vs spread in position
A fourier mode simulator - select 'wave packet' from the Preset Functions on the right to explore how wavepackets are built up from plane waves.
Lecture Notes
Clicker questions
For more practice with wavepackets and Fourier components, check out this old tutorial:
old tutorial
solutions
PS 8 due
28
Fri
11/12
 
Midterm #2
Problem Set 9  
29
Mon
11/15
40.6
  • Momentum space wavefunction and its probabilistic intepretation
  • Relationship between momentum space and position space wavefunctions
Lecture Notes
Clicker questions
   
30
Wed
11/17
None - no reading quiz
  • The impossibility of knowing position and momentum of a particle at the same time
  • Heisenberg uncertainity principle - exact statement
  • Time dependence of wavepackets
  • Time evolution of wavepackets from decomposition into pure waves
Lecture Notes
Clicker questions
   
Tutorial #10
31
Fri
11/19
41.1
  • Group velocity vs phase velocity
  • (De Broglie's) relationship between energy and frequency
  • Schrodinger equation plausability argument: time evolution of wavepackets from Schrodinger equation
  • dispersion (spreading of wavepackets)
Lecture Notes
Clicker questions
Problem Set 10 PS 9 due
32
Mon
11/22
None - no reading quiz
  • The linearity of the Schrodinger equation
  • Schrodinger equation in the presence of a potential
  • Energy eigenstates: stationary states
Lecture Notes
Clicker questions
   
33
Wed
11/24
41.2, 41.3, 41.4
  • Time-independent Schrodinger equation
  • General recipe for solving quantum mechanics wavefunction problems
  • Quantum bound states; discreteness of bound state energies
Simulation of bound states in various potentials.
Lecture Notes
Clicker questions
   
Tutorial #11
34
Fri
11/26
41.6
  • Explanation for discretness of atomic spectra and stability of atoms
  • 1D example: the finite square well
  • zero point energy
  • nonzero probability for finding the electron in a classically forbidden region
Lecture Notes
Clicker questions
Problem Set 11 PS 10 due
35
Mon
11/29
41.10
  • qualitative discussion of the double well
  • Tunneling
  • Examples of tunneling: tunneling current, tunneling through a small hole, fusion in the Sun.
Lecture Notes

Supplementary notes on Quantum Mechanics  
36
Wed
12/01
none - no reading quiz
  • Applications of tunneling: the Scanning Tunneling Microscope (STM), nuclear decay
  • Quantum eraser experiments
A detailed explaination of the quantum eraser can be found here

(No clicker questions)
   
Tutorial #12
37
Fri
12/03
none - no reading quiz
  • General relativity (tentative)
(No clicker questions)
  PS 11 due