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Physics 200: Relativity and Quanta
Lectures and Topics



Here is a list of topics that we'll cover in the course. As the term progresses, these will be correlated with lecture dates, notes, and suggested reading. For a preview of how these fit together into a coherent story, see the Outline. To help you figure out what I'm expecting you will learn, have a look at the explicit set of Learning Goals.


Date Topic Notes, etc... Reading

PART I : SPECIAL RELATIVITY


Sept 7
  • Introduction and Motivation
Sept 9
Newton’s Laws and Relativity
  • frames of reference and inertial frame 
  • the principle of relativity
  • demonstration of relativity in Newton’s laws
notes
clicker questions
text 37.1,37.2

Sept 12

Puzzles from Electromagnetism

  • Einstein’s postulates of relativity
  • light as an electromagnetic wave
  • apparent conflicts between E&M and relativity
notes
clicker questions
text 37.3
Sept 14

Einstein’s Resolution

  • Michelson-Morley experiment  
  • setting up a coordinate system for time and distance measurements
  • comparing distances transverse to the motion
notes
clicker questions
text 37.4
Sept 16
  • time dilation
notes
clicker questions
text 37.6
Sept 19
  • length contraction
  • relativity of simultaneity
notes
clicker questions
text 37.5,37.7
Sept 21
  • summary of consequences of relativity for times and distances
  • Lorentz transformations
notes
clicker questions
Special relativity simulation
text 37.8
Sept 23
  • more on Lorentz transformations
  • velocity transformation
notes
clicker questions
Tips on when and how to use time dilation, length contraction, and Lorentz transformations
Sept 26 Relativistic Invariants
  • similarities between Lorentz transformations and rotations
  • The invariant interval
notes
clicker questions
Sept 28
  • spacetime diagrams
notes
clicker questions
notes on spacetime diagrams
Sept 30
  • spacelike and timelike separations
  • proper distance
  • proper time
notes
clicker questions

spacetime diagram pictures
more pictures
even more pictures
Oct 3

Relativistic Energy and Momentum

  • relativistic momentum
notes
clicker questions
text 37.9
Oct 5
  • properties of relativistic momentum
  • relation between symmetries and conservation laws
notes
clicker questions
Oct 7
  • relativistic energy
  • conversion between mass and kinetic energy
  • analyzing relativistic dynamics: particle decay and scattering
notes
clicker questions
text 37.10
Oct 12
FIRST MIDTERM

Oct 14
  • what is mass?
  • the massless limit
  • similarities between massless particles and light
  • relativistic Doppler shift (tutorials)
notes
clicker questions
energy and momentum conservation example

Lorentz transforms
of E and P
Oct 17
  • SPECIAL LECTURE: General Relativity
notes
Oct 19

PART II: QUANTUM MECHANICS

Failures of Classical Physics
  • Review of the classical description of EM radiation
notes
clicker questions
Oct 21
  • Classical instability of atoms
  • atomic spectra
  • blackbody radiation
notes
clicker questions
helium spectrum
text  38
Oct 24 Light as a Particle

  • the photon picture of light
  • photoelectric effect (qualitative)
notes
clicker questions
text 39.1,39.2
Oct 26
  • photoelectric effect (quantitative predictions of photon picture)
notes
clicker questions
photoelectric effect simulation
Oct 28
  • Millikan's experiment
  • Compton effect (see tutorial 8)
  • summary of evidence for the photon picture
notes
clicker questions
text 39.3

Properties of Quanta

Oct 31
  • photon interpretation of polarizer experiments:
  • probabilities and quantum indeterminacy
notes
clicker questions
polarization diagram
Notes on polarization of light
Nov 2
  • quantitative model for calculating photon transmission
  • general states as superpositions of eigenstates
  • calculating probabilities from superpositions
  • basic framework of quantum mechanics from polarizer model
notes
clicker questions
Notes on photons and polarizers
Notes on probability
Nov 4
  • Double slit experiment for photons
  • explanation via quantum superposition
notes
clicker questions
double slit simulation
text 40.1,40.2
Nov 7
Wave Properties of Electrons
  • Double-slit/Electron diffraction experiments
  • de Broglie wavelength
notes
clicker questions
text 39.4
Nov 9
  • wavefunction as coefficients for superposition of position eigenstates
  • wavefunctions and probability density
  • normalization of the wavefunction
  • measurement, repeated experiments, and wavefunction collapse
  • comparison between classical and quantum descriptions of an electron
  • the need for an equation of motion for the wavefunction
notes
clicker questions
Notes on wavefunctions NEW!

text 40.3, 40.4
Nov 14
  • fixed momentum wavefunctions as waves
  • wavepackets and their decompostion in terms of pure waves
  • spread in position vs spread in momentum
  • Heisenberg uncertainty (crude)
notes
clicker questions
Notes on momentum wavefunctions and the uncertainty principle NEW!

text 40.5
Notes on complex numbers and waves
Nov 16
SECOND MIDTERM


Nov 18
  • momentum space wavefunction and probabilistic interpretation
  • precise relation between position and momentum space wavefunctions
  • Heisenberg uncertainty principle (precise version)
  • inability to know position and momentum at the same time
notes
clicker questions

position vs momentum superpositions

wave superposition simulation
text 40.6
notes on expectation values and uncertainty
Nov 21
  • time dependence of electron wavepackets
  • group velocity versus phase velocity
  • relationship between energy and frequency
notes
clicker questions
supplement:
group velocity vs phase velocity
Nov 23

The Schrödinger Equation

  • time evolution of a general wavefunction via decomposition to pure waves
  • time evolution of a general wavefunction via the Schrödinger equation
  • spreading of wavepackets (dispersion)
notes
clicker questions

wavepacket propagation simulation
note: choose "constant" in drop-down
menu under "potential" for
free propagation
Notes on time dependence of wavefunctions and the Schrodinger equation NEW!
Nov 25

Bound States and Atomic Spectra

  • Schrödinger equation in the presence of a  potential
  • Properties of energy eigenstates 
  • energy eigenstates as stationary states
  • Time-independent Schrodinger equation
  • properties quantum bound states
  • discreteness of bound state energies
notes
clicker questions
Notes on the Schrodinger equation with a potential and energy eigenstates NEW!

text 41.1
Nov 28
  • general recipe for using quantum mechanics
  • explanation of discreteness in emission spectra and stability of atoms
  • general time evolution of wavefunctions
  • scattering problems
notes
clicker questions

bound state simulation
text 41.2, 41.3, 41.4
Nov 30
  • 1D example: finite square well
  • zero point energy
  • finite probability for finding electron in classically forbidden region

Tunneling 

  • simulation and qualitative discussion of double well
notes
clicker questions
text 41.6
Dec 2
  • tunneling and radioactive decay, STMs
  • more complicated quantum systems and general features of quantum mechanics
notes
clicker questions
text 41.10