1. Chap. 20 in Shankar: The Dirac equation for a hydrogen atom
PHY 741 Quantum Mechanics
12-12:50 AM MWF Olin 103
Plan for Lecture 34:
Chap. 20 in Shankar: The Dirac equation for a hydrogen atom
Angular and spin components
Radial components
Comparison with non-relativistic results
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PHY 741 Fall Lecture 34

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PHY 741 Fall Lecture 34

4. Dirac equation for Fermi particle in a scalar potential field
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PHY 741 Fall Lecture 34

5. Dirac equation for electron in the field of a H-like ion
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PHY 741 Fall Lecture 34

6. Dirac equation for electron in the field of a H-like ion -- continued
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PHY 741 Fall Lecture 34

7. Dirac equation for electron in the field of a H-like ion -- continued
We can
show that:
11/27/2017
PHY 741 Fall Lecture 34

8. Dirac equation for electron in the field of a H-like ion -- continued
11/27/2017
PHY 741 Fall Lecture 34

9. Dirac equation for electron in the field of a H-like ion -- continued
11/27/2017
PHY 741 Fall Lecture 34

10. Dirac equation for electron in the field of a H-like ion -- continued
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PHY 741 Fall Lecture 34

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19. Dirac equation for electron in the field of a H-like ion
Comparison with Schroedinger equation --
Schematic diagram:
3d5/2
3s,3p,3d
3p3/2,3d3/2
3s1/2,3p1/2
2s,2p
2p3/2
2s1/2,2p1/2 1s
1s1/2
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PHY 741 Fall Lecture 34

20. Some details
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PHY 741 Fall Lecture 34

21. More details about ground state of H-like ion from Dirac equation
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PHY 741 Fall Lecture 34

22. More general treatment of bound states of Fermi particle within spherical potential V(r)
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PHY 741 Fall Lecture 34

23. Practical solution of radial portions of Dirac equation
11/27/2017
PHY 741 Fall Lecture 34