PHYSICS 447: MODERN PHYSICS
PROBLEM OUTLINE
Fall 2005

Solutions to text book problems not given in the back of the text and corrections to errors in back-of-the-text answers are given in the Word document.

  Problems Examples
Part 1: Experimental Basis of Quantum Theory
           (Ch. 1,2,4)
   
1-1. Probability Distributions 1-1A,1-1B  
1-2. Boltzman Distribution 1-2A,1-2B,1-2C,1-2D  
1-3. Thermal (Blackbody) Radiation 1.1,7,15,16,17,20,21,22,1-3A 1-1,1-6
1-4. Photoelectric Effect 2.1,2,3  
1-5. Photons 2.10,11  
1-6. X-Ray Production 2.24,26 2-5
1-7. X-Ray Scattering (Compton Shift) 2.17,21,23 2-4
1-8. Bohr Model of Atom 4.12,14,15,19,24,25,31, 4-6,4-10
1-8A,1-8B  
     
Part 2: Formalization of Quantum Mechanics
            (Ch. 3,5,6)
   
1. deBroglie's Postulates 3.1,4,7,2-1A 3-1
2. Heisenberg Uncertainty Principle 3.21,24,30,2-1B 3-3,3-4,3-5,3-7
3. Wave Function & Schrödinger Equation 5.9,10,11,12,13 5-2,5-4,5-9,5-10
4. 1-D Time-Independent Potential Energies    
   a. Constant Potential (Free Particle)    
   b. Step Potential 6.2,4 6-2,6-3
   c. Barrier Potential 6.5,8,10 6-4
   d. Infinite Square Well 6.20,23,2-4A,2-4B 6-5
   e. Finite Square Well 6.11,12,2-4C  
   f. Simple Harmonic Oscillator 6.30,34 6-7,5-3,5-5,5-7,5-8
5. Operator Theory OT Problems 2.1, 3.1-3  
     
Part 3: Applications of Quantum Mechanics
            (Ch. 7-9,11)
   
1. One-electron Atoms    
   a. Eigenfunctions/ Probability Densities 7.3,5,7,8,12,14 7-2,7-3,7-4,7-5
   b. Angular Momentum 7.13,16 7-6
   c. Magnetic Dipole Moments   8-1
   d. Electron Spin   8-2
   e. Angular Momentum & Spin Operators OT Problems 4.1-4, 5.1  
   f. Total Angular Momentum 8.9,10,11 8-5
   g. Spin-Orbit Interaction 8.6,3-1A 8-3,8-4
   h. Transition Rates/Selection Rules 8.14,16 8-6
2. Multi-electron Atoms    
   a. Exclusion Principle 9.3 9-2,9-3
   b. Electron Ordering 9.19 9-6,9-7
   c. e--e- Repulsion & Exchange Force 9.15,22 9-4
3. Collections of Atoms: Quantum Statistics    


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