2000/04/26 by R P Martínez-y-Romero, H N Núñez-Yépez, A L Salas-Brito · 1 citation
Mathematics · Physics and Astronomy · #Dirac (video compression format) #Extension (predicate logic) #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #Relativistic mechanics #Relativistic particle #Relativistic quantum chemistry #Relativistic quantum mechanics #Relativistic wave equations #Virial theorem #math-ph #math.MP #physics.atom-ph #quant-ph
paper · pdf · doi:10.1088/0953-4075/33/10/101
10 pages, no figures
arxiv created 2000/04/26 · openalex publication_date 2000/05/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Recurrence formulae for arbitrary hydrogenic radial matrix elements are obtained in the Dirac form of relativistic quantum mechanics. Our approach is inspired by the relativistic extension of the second hypervirial method that has been succesfully employed to deduce an analogous relationship in non-relativistic quantum mechanics. We first obtain the relativistic extension of the second hypervirial and then the relativistic recurrence relation. Furthermore, we use this relation to deduce relativistic versions of the Pasternack-Sternheimer rule and of the virial theorem.