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)
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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.
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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).
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13 |
Wed 10/06 |
None - no reading quiz |
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
|
|
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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
|
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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
|
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|
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
|
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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 |