Dates

Chap

Topics

08/31

1, 2

Chap 1 (Introduction) and Chap 2 Special Theory of Relativity
Concentrate on :

• Review Sec 1.1-1.2 (general formulas, units) [eV, nm, MeV
• Sec 2.1 inertial reference frames
• Sec 2.4 time dilation (eq. 2.8), length contraction (eq. 2.13), muon experiment,
    velocity addition (eq. 2.17), doppler (eq. 2.22)
       Figure on page 27 - laser beam on ship
       Example 2.4 - muon example of time dilation
       Relativistic velocity addition (equation 2.17) - Example 2.7

09/07

2

Chapter 2 continued : Special Relativity
Concentrate on :

• Sec 2.6 twin paradox (in-class example - trip to planet X)
       [physlet : twin paradox]
       Twin Paradox handout (PDF)
       [physlet : Minkowski diagrams]

09/12-09/14

2

Chapter 2 continued : Special Relativity

• Sec 2.7 relativisitic momentum (eq. 2.32), ke (eq. 2.36),
       total energy (eq. 2.38, 2.41, 2.43) - Example 2.12, 2.13
       [physlet : relativity dynamics]

Suggested problems Chapter 2 (important ones in bold):
   2 (use binomial expansion - should be around 20 nm, and about 77 ns),
   3, 5, 9, 11, 23, 29, 31, 35 And Q 13

09/19-09/21

3

Chapter 3 : Particle-like Properties of Radiation

• Sec 3.2 Photoelectric Effect
       discussion pp 73-75, eq 3.21, 3.24) - Example 3.4
• Sec 3.4 Compton Effect - equation 3.44 - example 3.6
• Sec 3.5 Other processes ...
       Bremstrahlung (Figure 3.23 - equation 3.47)
       Pair Production (discussion p. 89 - equation 3.49)
• Sec 3.6 What is a photon? (discussion)
       experiment from p. 91
       wave particle duality - p. 92
       probability to observe photons (remember for chapter 5!)

Suggested problems Chapter 3 : 5, 9, 10 (ans: 0.96v), 11, 13, 25, 29

09/26-09/28

4

Chapter 4 : Wave-like Properties of Particles

• Sec 4.1 DeBroglie's Hypothesis (electron doubleslit - review from Univ2)
       Eq 4.1 - Example 4.1 - Figure 4.12 - Figure 4.15
• Sec 4.2 Classical Uncertainty for waves
       Figures on page 111 - Eq 4.3, 4.4 - Example 4.2
• Sec 4.3 Heisenberg's Uncertainty Principle
       Eq. 4.7, 4.8 - discussion p. 115
       discussion of confining a particle (pp. 117-118) [will use this later in Chap 5]
       Example 4.8, 4.9
• Sec 4.6 Probablilty Amplitude (discuss - p. 129)
       Figure 4.24 - electron interference pattern

Suggested problems Chapter 4 : 5, 17, 19, 27

Wed 09/28

Test 1

Test - Wednesday 09/28/2011 - Chapters 1-4

Test topics (Emphasis on Chapter 2 to reflect time spent):

• Twin paradox - incorporating length, time, frequency relativistic effects (calculations)
• Relativistic dynamics - energies/momentums of particles (calculations)
• Photoelectric effect / Compton effect (calculations)
• DeBroglie Wavelength / Heisenburg Uncertainty Principle (mostly conceptual)

Also: I would guess there would be somewhere between 4 and 6 problems on the exam - equal valued. You can bring in an equation card (3inch x 5inch) with anything you want *HANDWRITTEN* on it, and a calculator (you should not have equations "plugged in" to the calculator), and writing implements. You will write your answers on the test paper itself, no blue books needed.

10/03-10/05

5

Chap 5 The Schrodinger Equation
Concentrate on :

• Sec 5.1 Justification
       Properties pp138-139
       SE = Equation 5.3
• Sec 5.2 Schrodinger recipe
       Steps - p 140 (skip Example 5.1) - discussion on bottom p 143
• Sec 5.2 Schrodinger recipe
       Steps - p 140 (skip Example 5.1) - discussion on bottom p 143
• Sec 5.3 Probabilities and Normalization
       Conceptual Steps - pp 144-145, Equations 5.6, 5.11
• Sec 5.4 Applications
       Free particle
       Particle in a Box - Example 5.2, 5.3   Physlet: Infinite Square Well

10/10-10/12

5, 6

Chapter 5 continued : Schrodinger Equation
Concentrate on :

• Sec 5.5 Simple Harmonic Oscillator (Quantum)   Physlet: Quantum Oscillator
       steps to show solution works (p. 156)
       calculating energy levels (p. 157) - different from square well?
• Sec 5.7 Steps and barriers    Physlet: FINITE Square Well    Physlet: FINITE Barrier
       general concepts - connected to the properties/receipes from Sec 5.2
       this section done with DRAWINGS not calculations
       Examples - tunneling/barrier penetration (pp. 164-165)Physlet: Uneven finite Square Well

Suggested problems Chapter 5 :
   3, 5, 7, 9 (a only), 21, 25, 31

Chapter 6 Rutherford-Bohr

• Sec 6.1 Basic properties of atoms
• Sec 6.2 Thompson Model
       general concepts - pp. 175-176 - quote p. 179
• Sec 6.3 Rutherford Model
       general concepts - p 179
• Sec 6.4 Line Spectra
       whole chapter - Examples 6.4, 6.5

10/17-10/19

6, 7

Chapter 6 Rutherford-Bohr continued

• Sec 6.5 Bohr Model
       whole chapter - Examples 6.6
• Sec 6.8 Deficiencies of the Bohr Model
       whole section

Suggested problems Chapter 6 :
   16, 17, 19, 23, 27, *** 37 ***

Chapter 7 Hydrogen Atom

• Sec 7.1 SE in spherical coords
       general idea - separable functions
• Sec 7.2 Hydrogen Wave Functions
       quantum numbers (p. 209)
       wavefunctions (Table 7.1)
• Sec 7.3 Radial Prob Densities
       general idea - Equation 7.10
       Graphs of solutions - Figure 7.4
       Examples 7.1 (and a mistake??), 7.2, 7.3

Suggested problems Chapter 7:
   1, 5, 13, 21

10/24-10/26

7, 8

Chapter 7 Hydrogen Atom Continued

• Sec 7.4 Angular Momentum
       discussion (p. 215)
• Sec 7.6 Energy levels - Spectroscopic notation
       discussion (p. 225) - Figure 7.20
       selection rule (p. 225)

Suggested problems Chapter 7:
   1, 5, 13, 21

Chap 8 Many-Electron Atoms
Concentrate on :

• Introduction
       Discussion - p. 236 (effective value of nuclear charge)
• Sec 8.1 Pauli-Exclusion principle
       Can't have two electrons in the same "state" (quantum numbers - spin up/down)
• Sec 8.2 Electron states in many-electron atoms
       Figure 8.1 - Energy level diagram (reasons for "penetrating orbits"
• Sec 8.3 Periodic Table - discussions about the various tables/figures below:
       Table 8.1, Figure 8.2, Table 8.2, Figure 8.3, Figure 8.4, Figure 8.5
• Sec 8.6 Optical Spectra
       Figure 8.10 - fill in the missing pieces - wavelenths emitted indicate energy differences
       discussion of fluorescence - bottom p. 251 - and Figure 8.12 on p. 253
• Sec 8.8 Lasers
       representations of reactions - top of p. 258 (and Figure 8.15)
       simple model won't work - why? (need meta-stable states)
       three-level model - better, not perfect (figure 8.17)
       four-level - now we got it! (figure 8.18)
       Helium-Neon laser example - Figures 8.19,8.20
          what are plusses and minuses of lasers?

Suggested problems Chapter 8 :
   2, 15, 19, 21

Wed 10/26

Test - Wednesday 10/26/2011 - Chapters 5-8

Test topics :

• Pictures of SE solutions
     (particle in a box, finite/infinite wells, steps, barriers)
     wavelengths related to KE
• Particle in box - exact wavefunction/energy solutions
      probability of being between x1 and x2 in 0 to L width
• Bohr atom - energies, transitions, radii (calculations)
     conceptual - "stationary states" / deficiencies of model
• SE -> Hydrogen .. radial solutions
     calculations - probablilty for r1 to r2 for a particular level ("Bohr" states)
     calculations - find the local maximums for a given level
• Conceptual questions on the features of the periodic table
• electron transitions between different spdf levels (example with Li/Na) (fill in the missing pieces .. wavelengths or energy levels) (calculational)

Also: Somewhere between 4 and 6 problems on the exam - equal valued. You can bring in an equation card (3inch x 5inch) with anything you want *HANDWRITTEN* on it, and a calculator (you should not have equations "plugged in" to the calculator), and writing implements. You will write your answers on the test paper itself, no blue books needed.