The split of the Dirac Hamiltonian into precisely predictable energy components
type: Item
instance of: scholarly article
title: The split of the Dirac Hamiltonian into precisely predictable energy components
zbMATH Open document ID: 1092.81020
published in: Foundations of Physics
publication date: 2005-03-15T00:00:00Z
review text: The author defines two operators \(V^\sim\) and \(H_0^\sim\) which -- when added -- yield the Dirac operator of the Hydrogen atom. These two operators can be seen as approximate potential and kinetic energy (plus rest energy). But unlike the potential energy and the kinetic energy itself, these represent completely predictable observables in the sense of von Neumann. The author's main mathematical result is, the absence of singular continuous spectrum of \(V^\sim\): A unitary operator is given that relates the positive part of \(V^\sim\) with the unperturbed Coulomb potential. The negative part has discrete spectrum only. In addition the paper contains some speculative remarks about neutrinos.
reviewed by: Heinz Siedentop
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 81P15
zbMATH DE Number: 2146269
zbMATH Keywords: Dirac equation
zbMATH Keywords: observable
zbMATH Keywords: predictable
author: Heinz Cordes
MaRDI profile type: Publication
DOI: 10.1023/B:FOOP.0000041287.25713.FE
description: scientific article; zbMATH DE number 2146269