# Gauge-Invariant Energy Functional in Relativistic Schroedinger Theory

@article{Mattes2009GaugeInvariantEF, title={Gauge-Invariant Energy Functional in Relativistic Schroedinger Theory}, author={Michael Mattes and M. Sorg}, journal={arXiv: High Energy Physics - Theory}, year={2009} }

The non-invariant energy functional of the preceding paper is improved in order to obtain its gauge-invariant form by strictly taking into account the non-Abelian character of Relativistic Schroedinger Theory (RST). As an application of the results, the dichotomy of positronium with respect to singlet and triplet states is discussed (ortho- and para-positronium). The degeneracy of the ortho- and para-states occurs in RST if (i) the magnetic interactions are neglected (as in the conventional…

## References

SHOWING 1-10 OF 20 REFERENCES

### Two- and Three-Particle Systems in Relativistic Schrödinger Theory

- Physics
- 2007

The relativistic Schrödinger theory (RST) for N-fermion systems is further elaborated with respect to three fundamental problems which must emerge in any relativistic theory of quantum matter: (i)…

### Helium Multiplet Structure in Relativistic Schrödinger Theory

- Physics
- 2006

The emergence of a multiplet structure of the helium-like ions is studied within Relativistic Schr\"odinger Theory (RST), a fluid-dynamic approach to the relativistic quantum theory of the…

### NON-SINGULAR, COSMOLOGICAL SOLUTIONS FOR THE COUPLED DIRAC-EINSTEIN EQUATIONS

- Physics
- 1995

The coupled Dirac-Einstein equations for an open Robertson-Walker universe admit a discrete spectrum of non-singular recollapsing solutions with associated finite lifetimes. This spectrum can be…

### Density functional theory

- Physics, ChemistryPhotosynthesis Research
- 2009

An overview of the properties that can be calculated with DFT, such as geometries, energies, reaction mechanisms, and spectroscopic properties, is provided.

### Fermions and expanding universe

- Physics
- 1993

The coupledDirac-Einstein equations for a homogeneous isotropic space-time forbid aclosed universe but lead to the standard cosmological model for aflat universe. Therefore only theopen universe is…

### Spin precession and expansion of the Universe

- Geology
- 1994

SummaryIn an FRW universe, the local spin density of the Dirac spinor field is subject to precession whose rate is determined by the electric-dipole density and by the absolute velocity relative to…

### Quantum mechanics

- PhysicsNature
- 1975

Quantum Mechanics for Organic Chemists.By Howard E. Zimmerman. Pp. x + 215. (Academic: New York and London, May 1975.) $16.50; £7.90.

### THE FOUNDATIONS OF MECHANICS.

- EducationScience
- 1918

Find the secret to improve the quality of life by reading this foundations of mechanics, which can be your favorite book to read after having this book.

### Density-functional theory of atoms and molecules

- Chemistry
- 1989

Current studies in density functional theory and density matrix functional theory are reviewed, with special attention to the possible applications within chemistry. Topics discussed include the…