Recurrence relation for relativistic atomic matrix elements
量子物理
2009-11-06 v1 数学物理
math.MP
原子物理
摘要
Recurrence formulae for arbitrary hydrogenic radial matrix elements are obtained in the Dirac form of relativistic quantum mechanics. Our approach is inspired on the relativistic extension of the second hypervirial method that has been succesfully employed to deduce an analogous relationship in non relativistic quantum mechanics. We obtain first the relativistic extension of the second hypervirial and then the relativistic recurrence relation. Furthermore, we use such relation to deduce relativistic versions of the Pasternack-Sternheimer rule and of the virial theorem.
引用
@article{arxiv.quant-ph/0004099,
title = {Recurrence relation for relativistic atomic matrix elements},
author = {R P Martínez-y-Romero and H N Núñez-Yépez and A L Salas-Brito},
journal= {arXiv preprint arXiv:quant-ph/0004099},
year = {2009}
}
备注
10 pages, no figures