PHY 741 Quantum Mechanics 12 12 50 AM

PHY 741 Quantum Mechanics 12 -12: 50 AM MWF Olin 103 Plan for Lecture 26: Chap. 17 in Shankar: -Independent Perturbation Theory Time 1. Case of non-degenerate spectrum 2. Treatment of degenerate spectrum 11/01/2017 PHY 741 Fall 2017 -- Lecture 26 1

11/01/2017 PHY 741 Fall 2017 -- Lecture 26 2

11/01/2017 PHY 741 Fall 2017 -- Lecture 26 3

Approximation schemes for solving the timeindependent Schrödinger equation 11/01/2017 PHY 741 Fall 2017 -- Lecture 26 4

11/01/2017 PHY 741 Fall 2017 -- Lecture 26 5

Example of degenerate perturbation theory in the treatment of the term values of multi-electron atoms: single electron terms 11/01/2017 electron-electron interaction PHY 741 Fall 2017 -- Lecture 26 6

Example of degenerate perturbation theory in the treatment of the effects of spin-orbit interaction: J=l+1/2: J=l-1/2: 11/01/2017 PHY 741 Fall 2017 -- Lecture 26 7

Example of degenerate perturbation theory for a H atom in the degenerate states 11/01/2017 PHY 741 Fall 2017 -- Lecture 26 8

Degenerate perturbation theory example for the Stark effect -- continued 11/01/2017 PHY 741 Fall 2017 -- Lecture 26 9

Degenerate perturbation theory example for the Stark effect -- continued F 11/01/2017 PHY 741 Fall 2017 -- Lecture 26 10

Degenerate perturbation theory example for effects of a constant magnetic field B on an atom 11/01/2017 PHY 741 Fall 2017 -- Lecture 26 11

Degenerate perturbation theory example for effects of a constant magnetic field B on an atom -- continued Paschen. Back effect 11/01/2017 PHY 741 Fall 2017 -- Lecture 26 12

Degenerate perturbation theory example for effects of a constant magnetic field B on an atom – including the effects of spin-orbit interaction 11/01/2017 PHY 741 Fall 2017 -- Lecture 26 13