臺灣博碩士論文加值系統

我們使用在羅伯森-渥克度規下適當的狄拉克方程式討論了
膨脹宇宙中的氫原子的性質.

In this M.S. thesis, we investigate the behavior of a hydrogen
atom in the expanding universe making use of the appropriate Dirac equation in the Robertson-Walker (RW) metric. The equation is obtained by
incorporating the electromagnetic potential of a static point-like charge,
via gauge principle, into the Dirac equation phrased in the curved spacetime.
The solutions to such equation are obtained by the perturbation method.
The results are presented and briefly discussed.

1. Introduction
2. Dirac Equation in the Robertson-Walker Metric
3. Electromagnetic Potentialsof a Static Point-like Charge in the RW Metric
4. Dirac Equation of the Hydrogen Atom in the RW Metric
5. Solve the Equation of a Hydrogen atom in the RW Metric
6. Results and Discussion

[1] Edward W. Kolb, Michael S.Turner, The Early Universe.
[2] M.B.Green, J.H.Schwarz and E.Witten, Superstring theory vol.2, Chapter 12.1.
[3] P.Ramond, Field Theory, Chapter 6.4.
[4] Steven Weinberg, Gravitation and Cosmology.
[5] P.A.M.Dirac, General Theory of Relativity.
[6] J.J.Sakurai, Advanced Quantum Mechanics, Chapter 3.8.
[7] Alonso, Finn, Fundamental University Physics vol.1 2nd Edition,
Chapter 2.3.