Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation

Abstract

Inspired by the reconstituted similarity renormalization group method, the reconstituted Foldy-Wouthuysen (FW) transformation is proposed. Applied to the Dirac equation in the covariant density functional theory, the reconstituted FW transformation shows a fast convergence of the spectrum of the single-particle energy. The single-particle densities and the single-particle scalar densities obtained by this new method are also investigated. In particular, the relativistic corrections to the densities from the picture-change error between the Schrödinger and Dirac pictures are discussed in detail. Taking these relativistic corrections into account, both the single-particle densities and the single-particle scalar densities are almost identical to their exact values.

12 pages, 9 figures

References in corpus (6)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group
• Hamiltonian flow equations for a Dirac particle in large scalar and vector potentials

Cited by in corpus (4)

• Toward a bridge between relativistic and nonrelativistic density functional theories for nuclei
• Covariant Density Functional Theory with Localized Exchange Terms
• Theory of nuclear collective vibrations
• A Potential Model Study of the Nucleon's Charge and Mass Radius