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Physics 451

Physics 451. Quantum mechanics I Fall 2012. Sep 28, 2012 Karine Chesnel. Quantum mechanics. Announcements. Homework this week: HW # 8 due Friday Sep 28 by 5pm. Homework next week: HW # 9 due Tuesday Oct 2 by 7pm HW # 10 due Thursday Oct 4 by 7pm. Scattering state.

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Physics 451

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  1. Physics 451 Quantum mechanics I Fall 2012 Sep 28, 2012 Karine Chesnel

  2. Quantum mechanics Announcements • Homework this week: HW # 8 • due Friday Sep 28 by 5pm • Homework next week: • HW # 9 due Tuesday Oct 2 by 7pm • HW # 10due ThursdayOct 4 by 7pm

  3. Scattering state Bound state Quantum mechanics Ch 2.5 Bound and Scattering states V(x) x In physical reality:

  4. Quantum mechanics Ch 2.5 The Dirac delta function for for

  5. For Quantum mechanics Ch 2.5 The delta function potential

  6. is continuous is continuous except where V is infinite Quantum mechanics Ch 2.5 The delta function potential Continuity at boundaries

  7. For Quantum mechanics Ch 2.5 The delta function Well

  8. Quantum mechanics Ch 2.5 The delta function well Bound state

  9. Quantum mechanics Ch 2.5 Quiz 12a How many bound states can be found for a given delta function well potential? • None • One • Two • An infinity

  10. Quantum mechanics Ch 2.5 The delta function well Scattering state

  11. Quantum mechanics Ch 2.5 Quiz 12b How many scattering states can be found for a given delta function well potential? • None • One • Two • An infinity

  12. Travelling waves A F G B x 0 Continuity at boundary (A,B, F,G) ? Quantum mechanics Ch 2.5 The delta function well Scattering state

  13. Travelling waves A F B x 0 Reflected wave Transmitted wave Quantum mechanics Ch 2.5 The delta function well Scattering state

  14. A F B Reflection coefficient Transmission coefficient x 0 Quantum mechanics Ch 2.5 The delta function well Scattering state

  15. Quantum mechanics Ch 2.5 The delta function potential Scattering state

  16. Scattering state only A F B x 0 Transmission coefficient Reflection coefficient “Tunneling” Quantum mechanics Ch 2.5 The delta function barrier

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