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PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103

PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 18: Finish reading Chapter 4 and start reading Chapter 7 Coupled motion for extended systems; relationship to continuum models Wave equation. Lattice vibrations for 3-dimensional lattice.

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PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103

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  1. PHY 711 Classical Mechanics and Mathematical Methods • 10-10:50 AM MWF Olin 103 • Plan for Lecture 18: • Finish reading Chapter 4 and start reading Chapter 7 • Coupled motion for extended systems; relationship to continuum models • Wave equation PHY 711 Fall 2012 -- Lecture 18

  2. PHY 711 Fall 2012 -- Lecture 18

  3. Lattice vibrations for 3-dimensional lattice Example: diamond lattice Ref: http://phycomp.technion.ac.il/~nika/diamond_structure.html PHY 711 Fall 2012 -- Lecture 18

  4. PHY 711 Fall 2012 -- Lecture 18

  5. PHY 711 Fall 2012 -- Lecture 18

  6. B. P. Pandy and B. Dayal, J. Phys. C. Solid State Phys. 6 2943 (1973) Note: Longitudinal, transverse, and combination modes occur. PHY 711 Fall 2012 -- Lecture 18

  7. Longitudinal versus transverse vibrations Images from web page: http://www.physicsclassroom.com/class/waves/u10l1c.cfm PHY 711 Fall 2012 -- Lecture 18

  8. Longitudinal case: a system of masses and springs: m m m PHY 711 Fall 2012 -- Lecture 18

  9. system parameter with units of (velocity)2 PHY 711 Fall 2012 -- Lecture 18

  10. t Transverse displacement: m(x,t) PHY 711 Fall 2012 -- Lecture 18

  11. PHY 711 Fall 2012 -- Lecture 18

  12. PHY 711 Fall 2012 -- Lecture 18

  13. PHY 711 Fall 2012 -- Lecture 18

  14. PHY 711 Fall 2012 -- Lecture 18

  15. PHY 711 Fall 2012 -- Lecture 18

  16. PHY 711 Fall 2012 -- Lecture 18

  17. PHY 711 Fall 2012 -- Lecture 18

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