12. The relativistic shift in the energy levels of a hydrogen atom due to the relativistic dependence of mass on velocit

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12 The Relativistic Shift In The Energy Levels Of A Hydrogen Atom Due To The Relativistic Dependence Of Mass On Velocit 1 (27.39 KiB) Viewed 30 times

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