| Speaker: | Yu Jia (Institute of High Energy Physics, Beijing) |
|---|---|
| Title: | Schrodinger, Klein-Gordon and Dirac equations, atomic wave functions and operator product expansion |
| Date (JST): | Mon, Feb 18, 2019, 11:00 - 12:00 |
| Place: | Seminar Room A |
| Related File: | 2250.pdf |
| Abstract: |
Effective field theory (EFT) and operator product expansion (OPE) are two modern tools in the realm of theoretical high energy physics. In this talk, I show these two powerful methods can also provide novel perspective for understanding the short-range features of the atomic wave functions. In the first half of the talk, I will start from the nonrelativistic Coulomb-Schrodinger EFT, then employ OPE to investigate the universal electron-nucleus coalescence behavior of atomic wave functions. An exact OPE relation is proved to all orders in perturbation theory. In the second part of the talk, I will show how to solve a 90-year-old puzzle in relativistic quantum mechanics, which is related to the Coulomb solutions of Klein-Gordon and Dirac equations. I will demonstrate that, somewhat counterintuitively, the universal near-the-origin logarithmic divergence of the Klein-Gordon and Dirac wave functions for the S-wave hydrogen atoms, can not be addressed in the relativistic QED, but can be satisfactorily understood in the framework of nonrelativistic EFT with the aid of OPE and renormalization group equation. |
