1) Wave particle duality: For X ray wavelength 0.1 A,


    

  1. 1)  Wave particle duality:
     

    • For X ray wavelength 0.1 A, 1 A, 10A, 100 A, calculate X-ray photon energy and mass
       
    • For electron with kinetic energy 1 meV, 10 meV, 0.1 eV, 1 eV and 10 eV, calculate de Broglie wavelength
       
  2. 2)  An electron in a 1-dim infinite potential well spanning [0, a]
     

    • List Schrodinger equation
       
    • List boundary condition
       
    • Solve for wave function
       
    • Solve for energy levels
       
    • Solve for momentum
       
    • Sketch wave functions
       
  3. 3)  Repeat solution for 2-dim case
     
  4. 4)  Repeat solution for 3-dim case
     
  5. 5)  Estimate the size of a 1 dim quantum well for first excited energy level to be 1 eV
     
  6. 6)  Estimate the size of a 3 dim quantum box for first excited energy level to be 1 eV
     
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