12. The relativistic shift in the energy levels of a hydrogen atom due to the relativistic dependence of mass on velocit
Posted: Fri May 06, 2022 10:18 am
12. The relativistic shift in the energy levels of a hydrogen atom due to the relativistic dependence of mass on velocity can be determined by using the atomic eigenfunctions to calculate the expectation value AEret of the quantity AErel = Erel - Eclass the difference between the relativistic and classical expressions for the total energy E. Show that for p not too large E² + V² - 2EV AErel~ D4 8m³c² 2mc² so that E 1 AErel = 2m2 (4 32m 2 phim mà không đi Ene² Arcomc² jm, nijm, dz