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Chap. 19 in Shankar: Scattering theory

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Presentation on theme: "Chap. 19 in Shankar: Scattering theory"— Presentation transcript:

1 Chap. 19 in Shankar: Scattering theory
PHY 741 Quantum Mechanics 12-12:50 AM MWF Olin 103 Plan for Lecture 31: Chap. 19 in Shankar: Scattering theory Scattering cross section in terms of phase shifts Optical theorem Born approximation 11/15/2017 PHY 741 Fall Lecture 31

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4 Scattering geometry 11/15/2017 PHY 741 Fall Lecture 31

5 Some details: 11/15/2017 PHY 741 Fall Lecture 31

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8 Imaginary part of forward scattering is proportional to the total scattering cross section.
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9 The phase shift analysis of scattering theory provides a convenient mechanism to relate experiment to the interaction potential Example -- 11/15/2017 PHY 741 Fall Lecture 31

10 This minimum in s is not seen in e-He and e-Ne scattering.
11/15/2017 PHY 741 Fall Lecture 31

11 Approximate treatment of scattering – Born approximation
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14 Example – screened Coulomb interaction
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15 Example – screened Coulomb interaction -- continued
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16 Example – spherical well
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17 Example – spherical well – continued
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18 Beyond the Born approximation
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