Relativistic Wave Functions and Their Applications.

Sihong Shao, Zhendong Li, Wenjian Liu

P. A. Moldauer

C. V. Sheth

A momentum representation of the Dirac relativistic wave functions for a hydrogenlike atom is obtained in a simple form by means of Fourier transformation. The expressions given are convenient for analytic as well as numerical applications.

M. A. K. Khalil

N. L. Chuprikov

The Klein-Gordon-Fock (KGF) theory is presented as a single-particle relativistic quantum theory. A Schrodinger-type equation for a single-component wave function is derived. In addition to the KGF Hamiltonian, operators for momentum and orbital angular momentum for a scalar boson are identified, which act within the space of single-component wave functions. This theory is applicable to both massive and massless scalar bosons.

Jacek Karwowski

Abstract Some consequences of using multicomponent wave functions are analyzed. In particular, paradoxical properties of a density functional derived from Dirac and Lévy‐Leblond equations are discussed. The application of a recently formulated N‐electron “relativistic Schrödinger theory,” based on a 4N‐component wave function, to the construction of a Lorentz and gauge covariant density functional theory is suggested. © 2012 Wiley Periodicals, Inc.