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The dynamics of Rydberg states of atomic hydrogen driven by elliptically polarized microwaves of frequency fulfilling 2:1 classical resonance condition is investigated both semiclassically and quantum mechanically in a simplified…

chao-dyn · Physics 2009-10-31 Krzysztof Sacha , Jakub Zakrzewski

Sufficiently high densities in Bose-Einstein condensates provide favorable conditions for the production of ultralong-range polyatomic molecules consisting of one Rydberg atom and a number of neutral ground state atoms. The chemical binding…

Atomic Physics · Physics 2017-05-10 Matthew T Eiles , Jesus Perez-Rios , F Robicheaux , Chris H Greene

In the present work we study the effect of unparticle modified static potentials on the energy levels of the hydrogen atom. By using Rayleigh-Schr\"odinger perturbation theory, we obtain the energy shift of the ground state and we compare…

High Energy Physics - Phenomenology · Physics 2017-10-04 Michael F. Wondrak , Piero Nicolini , Marcus Bleicher

Stability achieved by large angular momentum is ubiquitous in nature, with examples ranging from classical mechanics, over optics and chemistry, to nuclear physics. In atoms, angular momentum can protect excited electronic orbitals from…

In this work we calculate the correction to the ground state energy of the hydrogen atom due to contributions arising from the presence of a minimal length. The minimal length scenario is introduced by means of modifying the Dirac equation…

High Energy Physics - Theory · Physics 2015-06-16 T. L. Antonacci Oakes , R. O. Francisco , J. C. Fabris , J. A. Nogueira

By using a Coulomb potential modified by the interaction between the magnetic moments of the electron and proton, we have calculated the energy levels of a hydrogen atom. We have obtained fine structure, hyperfine structure and the Lamb…

General Physics · Physics 2015-10-20 Voicu Dolocan

We explore the potential of precision spectroscopy of heavy exotic atoms where electrons are substituted by negative hadrons to detect new force carriers with hadronic couplings. The selected transitions are unaffected by nuclear contact…

High Energy Physics - Phenomenology · Physics 2025-10-07 Hongkai Liu , Ben Ohayon , Omer Shtaif , Yotam Soreq

We carry out a complete derivation on nonrelativistic energies of atomic Rydberg states, including finite nuclear mass corrections. Several missing terms are found and a discrepancy is confirmed in the works of Drachman [in Long Range…

Atomic Physics · Physics 2017-03-08 Xiao-Feng Wang , Zong-Chao Yan

The successful operation of the {\em Large Hadron Collider} (LHC) during the past two years allowed to explore particle interaction in a new energy regime. Measurements of important Standard Model processes like the production of high-\pt\…

High Energy Physics - Experiment · Physics 2012-07-02 Karl Jakobs

We consider a non-relativistic two-dimensional (2D) hydrogen-like atom in a weak, static, uniform magnetic field perpendicular to the atomic plane. Within the framework of the Rayleigh-Schr\"odinger perturbation theory, using the Sturmian…

Quantum Physics · Physics 2018-06-12 Radosław Szmytkowski

The position and momentum probability densities of a multidimensional quantum system are fully characterized by means of the radial expectation values $\langle r^\alpha \rangle$ and $\left\langle p^\alpha \right\rangle$, respectively. These…

Quantum Physics · Physics 2021-06-18 J. S. Dehesa , D. Puertas-Centeno

By an extension of the Feynman-Kleinert variational approach, we calculate the temperature-dependent effective classical potential governing the quantum statistical properties of a hydrogen atom in a uniform magnetic field. In the…

Quantum Physics · Physics 2009-11-06 Michael Bachmann , Hagen Kleinert , Axel Pelster

All experimental measurements of particle physics today are beautifully described by the Standard Model. However, there are good reasons to believe that new physics may be just around the corner at the TeV energy scale. This energy range is…

High Energy Physics - Experiment · Physics 2008-11-26 Beate Heinemann

The invariant mass of free particles is used to derive a bound-state equation for the hydrogen atom at rest. This equation has the well-known solutions for the single-particle states. Existence of two-particle bound states, for which the…

General Physics · Physics 2023-08-28 A. I. Agafonov

The properties and behaviour of a Ring Rydberg Composite are explicated. This system consists of a ring of ground state atoms centered on a Rydberg atom, whose electron elastically scatters off the ground state atoms. We transform the…

Atomic Physics · Physics 2020-02-19 Matthew T. Eiles , Andrew L. Hunter , Jan M. Rost

This article presents a review of the most recent theoretical and experimental results in hydrogen. We particularly emphasize the methods used to deduce the Rydberg constant $R_\infty$ and we consider the prospects for future improvements…

Atomic Physics · Physics 2009-10-27 François Biraben

The hydrogen atom is investigated, within a pseudo-complex extension of the coordinates and momenta, which introduces a minimal length scale (l) and results into a non-commutative Quantum Mechanics. After resuming the pseudo-complex…

Quantum Physics · Physics 2021-11-30 Peter O Hess

Cold Rydberg atoms exposed to strong magnetic fields possess unique properties which open the pathway for an intriguing many-body dynamics taking place in Rydberg gases consisting of either matter or anti-matter systems. We review both the…

Atomic Physics · Physics 2015-05-14 T. Pohl , H. R. Sadeghpour , P. Schmelcher

We present a method to precisly measure the frequencies of transitions to high-$n$ Rydberg states of the hydrogen atom which are not subject to uncontrolled systematic shifts caused by stray electric fields. The method consists in recording…

Atomic Physics · Physics 2024-01-09 Simon Scheidegger , Josef A. Agner , Hansjürg Schmutz , Frédéric Merkt

We present a novel binding mechanism where a neutral Rydberg atom and an atomic ion form a molecular bound state at large internuclear distance. The binding mechanism is based on Stark shifts and level crossings which are induced in the…

Atomic Physics · Physics 2021-12-28 Markus Deiß , Shinsuke Haze , Johannes Hecker Denschlag