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 2017 -- Lecture 31

11/15/2017 PHY 741 Fall 2017 -- Lecture 31

11/15/2017 PHY 741 Fall 2017 -- Lecture 31

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

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

11/15/2017 PHY 741 Fall 2017 -- Lecture 31

11/15/2017 PHY 741 Fall 2017 -- Lecture 31

Imaginary part of forward scattering is proportional to the total scattering cross section. 11/15/2017 PHY 741 Fall 2017 -- Lecture 31

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 2017 -- Lecture 31

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

Approximate treatment of scattering – Born approximation 11/15/2017 PHY 741 Fall 2017 -- Lecture 31

11/15/2017 PHY 741 Fall 2017 -- Lecture 31

11/15/2017 PHY 741 Fall 2017 -- Lecture 31

Example – screened Coulomb interaction 11/15/2017 PHY 741 Fall 2017 -- Lecture 31

Example – screened Coulomb interaction -- continued 11/15/2017 PHY 741 Fall 2017 -- Lecture 31

Example – spherical well 11/15/2017 PHY 741 Fall 2017 -- Lecture 31

Example – spherical well – continued 11/15/2017 PHY 741 Fall 2017 -- Lecture 31

Beyond the Born approximation 11/15/2017 PHY 741 Fall 2017 -- Lecture 31