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Physics 451

Physics 451. Quantum mechanics I Fall 2012. Nov 5, 2012 Karine Chesnel. Quantum mechanics. Announcements. Homework this week: HW #17 Tuesday Nov 6 by 7pm HW #18 Thursday Nov 8 by 7pm. Quantum mechanics. The hydrogen atom. What is the density of probability of the electron?.

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Physics 451

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  1. Physics 451 Quantum mechanics I Fall 2012 Nov 5, 2012 Karine Chesnel

  2. Quantum mechanics Announcements • Homework this week: • HW #17 Tuesday Nov 6 by 7pm • HW #18 Thursday Nov 8 by 7pm

  3. Quantum mechanics The hydrogen atom What is the density of probability of the electron?

  4. The angular equation (same) Angular function (same) l Azimutal quantum number m Magnetic quantum number Phys 451 The hydrogen atom

  5. The radial equation Coulomb’s law: Phys 451 The hydrogen atom

  6. The radial equation Phys 451 The hydrogen atom Asymptotic behaviors

  7. Peeling off the asymptotic behaviors Power expansion Recursion formula: Phys 451 The hydrogen atom

  8. Principal quantum number Phys 451 The hydrogen atom The series must terminate

  9. Quantum mechanics Quiz 23a For a given quantum number n, how many values of l can exist? A. one B. two C. n D. n -1 E. An infinity

  10. Quantization of the energy Bohr 1913 Ground state: “binding energy” Quantum mechanics The hydrogen atom Principal quantum number

  11. Bohr radius Quantum mechanics The hydrogen atom

  12. Stationary states l: azimuthal quantum number m: magnetic quantum number Degeneracy of nth energy level: Quantum mechanics The hydrogen atom Energies levels n: principal quantum number

  13. Quantum mechanics Quiz 23b What is the degeneracy of the 5th energy band of the hydrogen atom? A. 5 B. 9 C. 11 D. 25 E. 50

  14. E 0 E4 E3 Energy transition Paschen E2 Balmer E1 Rydberg constant Lyman Quantum mechanics The hydrogen atom Spectroscopy Energies levels

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