Chapter 10 - Modern Physics
Chapter 9 - Atomic Structure and Lifetimes
Statistical Physics
Shortcut to current position
Assignment in Chapter 10 of Krane's textbook:
Problem 1,2 (Due Date: Friday 10 February 2006).
Questions 1, 2, 5, 6;
Problems 4, 5 (Due Date: Monday 13 February 2006).
Problems 9, 14, 15 (Due Date: Friday 17 February 2006).
Problems 17, 21, 23 (Due Date: Friday 24 February 2006).
Probabilities
Discrete outcomes
Quantum coins, dice & children
Coin tosses
Quantum coins
Coin distribution function
Dice casting
Quantum dice
Shared birthdays
approximated
Stirling's approximation
N objects taken n at a time
Related to binomial distribution
Binomial distribution applet
Distribution functions
Definition
Binomial distribution
Stirling to higher accuracy
Poisson limit
Gaussian limit
Differences between Poisson and Gaussian
Horse/mule kick data
von Bortkiewicz
The Baker distribution
Measures of distribution
Median, mean, mode, std
Poisson example
Poisson example 2
Gaussian
The median isn't the message
Assignment in Chapter 10 of Krane's textbook:
Problem 1, 2 (Due Date: Friday 10 February 2006).
Problem 10-2
plot
Partition Functions
Definition
Case study
Partitions of 2 and 6
Multiplicities
Calculations
continued
Results
Comparison of distributions
BE and FD give MB
Krane's omission
Extended application
Continuous Probabilities
Integration
Dice casting
continued
Assignment in Chapter 10 of Krane's textbook:
Questions 1, 2, 5, 6;
Problems 2, 4, 5 (Due Date: Monday 13 February 2006).
Maxwell-Boltzmann Distribution
Normalization and temperature
Applet I
Applet II
Gamma functions
Tabulation
Calculation
Mode, mean, RMS
Graphical representation
Phase Space Factors
EBK quantization
Degeneracy of momenta for a given energy
Phase space
Photons and electrons
continued
Distribution Functions
Detailed balancing
Distributions
Bose Statistics
Continuum radiation
Distribution functions
Photon gas
Modern formulation
Physics Today article
Wien and Stefan-Boltzmann laws
Blackbody radiation
Integrals and sums
Continuous average
Discrete average
Euclid's theorem
Book IX, Prop. 35
Brick size
Rayleigh-Jeans
Wien
Planck
Statistics formulation
Einstein formulation
In modern quantities
Physics Today article
Applications and implications
Power from the Sun
The Greenhouse Effect
Solar cells
2.7 degree
BBrad
Distribution
Assignment in Chapter 10 of Krane's textbook:
Problems 9, 14, 15 (Due Date: Friday 17 February 2006).
Problem 10-9a,
10-9b,
Problem 10-14,
Iteration ,
Problem 10-15
Perception of continuous and discrete radiation
Full-spectrum solar cells
3-color vision
Color confusion
Who has the handicap?
Specific heats
Dulong and Petit
Experiment
Specific heats of solids
Einstein function
Debye model
Bose condensation
Cooper pairing
The Bosenova
Superfluidity
Nonlocal interaction
Fermi-Dirac Statistics
Comparison of distributions
Recall the BE and FD distributions
Distribution or probability?
Normalization by adjustment of EF
Normalization
Temperature variation of FD
Low temperature FD
[Current Position]
Mean energy
Sample calculation (P10-17)
FD distribution at the Fermi energy
Electron excitation in FD
Assignment in Chapter 10 of Krane's textbook:
Problems 17, 21, 23 (Due Date: Friday 24 February 2006).
10-17
10-21a
10-21b
10-23
Boltzmann factors for populations
Boltzmann population
Examples
Stellar Classifications (See Curtis, Chapt. 9, pp. 179-193)
The puzzle
The grand fact
Fr. Angelo Secchi
The Vatican observatory
August Comte on stellar composition
Kirchhoff & Bunsen on stellar composition
Stellar classifications
Relation to temperature
The solution
The Ladies of Observatory Hill
Group photo
Annie Cannon and Cecilia Payne
Sir Arthur Eddington
Anecdotes
Henry Norris Russell
and Lyman Spitzer
Iron?
Relation to temperature
Study of H and K lines
Cosmic abundances
Bar graph