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The practical usefulness of Relativistic Schr\"odinger Theory (RST) is tested by calculating approximately the energy difference between the excited singlet state $1s2s {}^1S_0$ and the ground state $1s^2 {}^1S_0$ of the helium-like ions…

Atomic Physics · Physics 2007-05-23 R. Graebeldinger , P. Schust , M. Mattes , M. Sorg

The usefulness of the Relativistic Schr\"odinger Theory (RST) is studied in the field of atomic physics. As a concrete demonstration, the positronium groundstate is considered in great detail; especially the groundstate energy $E_0$ is…

High Energy Physics - Theory · Physics 2007-05-23 T. Beck , M. Mattes , M. Sorg

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 many-particle systems. The fluid-dynamic character…

Atomic Physics · Physics 2007-05-23 R. Graebeldinger , T. Beck , M. Mattes , M. Sorg

The principle of minimal energy, which has been set up in the preceding papers for systems of non-identical particles (e.g. positronium), is now generalized to include also identical particles. Since the latter kind of particles feels also…

High Energy Physics - Theory · Physics 2008-09-29 M. Mattes , M. Sorg

We probe the strength of electron-electron interactions using magnetoconductivity measurements of two-dimensional non-degenerate electrons on liquid helium at 1.22 K. Our data extend to electron densities that are two orders of magnitude…

Strongly Correlated Electrons · Physics 2007-05-23 I. Karakurt , A. J. Dahm

The \emph{Relativistic Schr\"odinger Theory} (RST) has been set up as an alternative form of particle theory. This theory obeys the fundamental symmetries which are required to hold for any meaningful theory: gauge and Lorentz covariance…

General Physics · Physics 2017-01-11 M. Mattes , M. Sorg

A spectroscopic study of Rydberg states of helium ($n$ = 30 and 45) in magnetic, electric and combined magnetic and electric fields with arbitrary relative orientations of the field vectors is presented. The emphasis is on two special cases…

Chemical Physics · Physics 2017-01-09 Ondřej Tkáč , Matija Žeško , Josef Anton Agner , Hansjürg Schmutz , Frédéric Merkt

The lowest energy levels of positronium are studied in the non-relativistic approximation within the framework of Relativistic Schr\"odinger Theory (RST). Since it is very difficult to find the exact solutions of the RST field equations…

High Energy Physics - Theory · Physics 2008-07-11 M. Mattes , M. Sorg

We present an investigation on the resonances of a doubly excited helium atom in a strong magnetic field covering the regime B = 0-100 a.u. A full-interaction approach which is based on an anisotropic Gaussian basis set of one-particle…

Atomic Physics · Physics 2015-06-26 Armin Lühr , Omar-Alexander Al-Hujaj , Peter Schmelcher

This paper presents a realistic model that describes radiation-matter interactions. This is achieved by a generalization of first quantization, where the Maxwell equations are interpreted as the electromagnetic component of the Schroedinger…

Quantum Physics · Physics 2007-05-23 Richard A. Pakula

The ionization of atomic electrons by scattering of neutrinos is revisited. This process is the one studied in the experimental searches for a neutrino magnetic moment using germanium detectors. Current experiments are sensitive to the…

High Energy Physics - Phenomenology · Physics 2011-06-13 Konstantin A. Kouzakov , Alexander I. Studenikin , Mikhail B. Voloshin

The non-relativistic interacting electron gas in an external field of positively charged massive cores is dealt with in the scheme of second quantization. Ladder operators that change between stationary states of contiguous energy…

Quantum Physics · Physics 2025-02-27 Miguel Lagos

A fully relativistic calculation of the double photoionization of helium-like atoms is presented. The approach is based on the partial-wave representation of the Dirac continuum states and accounts for the retardation in the…

Atomic Physics · Physics 2015-05-30 V. A. Yerokhin , A. Surzhykov

We make a comparison between the energy levels of the hydrogen atom, calculated by using standard methods, and that by using a modified Coulomb potential due to the interaction between the magnetic moments of the proton and electron. In…

Atomic Physics · Physics 2014-07-09 Voicu Dolocan

The Hamilton-Lagrange action principle for Relativistic Schr\"odinger Theory (RST) is converted to a variational principle (with constraints) for the stationary bound states. The groundstate energy is the minimally possible value of the…

High Energy Physics - Theory · Physics 2008-07-03 M. Mattes , M. Sorg

A system of N interacting bosons or fermions in a two-dimensional harmonic potential (or, equivalently, magnetic field) whose states are projected onto the lowest Landau level is considered. Generic expressions are derived for matrix…

Mesoscale and Nanoscale Physics · Physics 2011-12-12 Stefan Mashkevich , Sergey Matveenko , Stéphane Ouvry

Fully relativistic approach to evaluate the correlation effects in highly charged ions is presented. The interelectronic-interaction contributions of first and second orders in $1/Z$ are treated rigorously within the framework of…

Atomic Physics · Physics 2019-12-18 Y. S. Kozhedub , A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn

The exchange interaction between two magnetic moments embedded in a host metal is fundamental to the description of the magnetic behavior of solids. In the standard spin-degenerate electron gas, it leads to the well known…

Strongly Correlated Electrons · Physics 2016-12-21 Mohammad M. Valizadeh , Sashi Satpathy

The synthesis of molecular magnets has undergone rapid progress in recent years. Each of the identical molecular units can contain as few as two and up to several dozens of paramagnetic ions (spins). Although these materials appear as…

Strongly Correlated Electrons · Physics 2009-11-11 J. Schnack

We study in this paper the possible occurrence of orbital magnetim for two-dimensional electrons confined by a harmonic potential in various regimes of temperature and magnetic field. Standard coherent state families are used for…

Statistical Mechanics · Physics 2009-11-07 J. P. Gazeau , P. Y. Hsiao , A. Jellal
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