Recurrence relation for relativistic atomic matrix elements
Martínez-y-Romero, R P ; Núñez-Yépez, H N ; Salas-Brito, A L
arXiv, 0004099 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-04-26
Classification:  Quantum Physics,  Mathematical Physics,  Physics - Atomic Physics 
@article{0004099,
     author = {Mart\'\i nez-y-Romero, R P and N\'u\~nez-Y\'epez, H N and Salas-Brito, A L},
     title = {Recurrence relation for relativistic atomic matrix elements},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0004099}
}

Martínez-y-Romero, R P; Núñez-Yépez, H N; Salas-Brito, A L. Recurrence relation for relativistic atomic matrix elements. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0004099/