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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

A time variation in the Higgs vacuum expectation value alters the electron mass and thereby changes the ionization history of the universe. This change produces a measurable imprint on the pattern of cosmic microwave background (CMB)…

Astrophysics · Physics 2009-10-31 Jens Kujat , Robert J. Scherrer

From the comparison between the experimental and theoretical results for the energy difference between 2s1/2 and 2p1/2 states in hydrogen and hydrogen-like ions with different values of Z, we estimate bounds for the presence of an extra…

High Energy Physics - Phenomenology · Physics 2019-03-06 Daniela Grandón , Alfredo Vega

Laser spectroscopy of muonic atoms has been recently used to probe properties of light nuclei with unprecedented precision. We introduce nuclear effects in hydrogen-like atoms, nucleon structure quantities (form factors, structure…

Nuclear Theory · Physics 2023-01-09 Aldo Antognini , Franziska Hagelstein , Vladimir Pascalutsa

A profound quantum-gravitational effect of space-time dimension running with respect to the size of space-time region has been discovered a few years ago through the numerical simulations of lattice quantum gravity in the framework of…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Michael Maziashvili

It is shown that the rate of corrections to the hydrogen atom and harmonic oscillator due to profound quantum-gravitational effect of space-time dimension running/reduction coincides well with those obtained by means of the minimum-length…

High Energy Physics - Theory · Physics 2015-05-13 Michael Maziashvili , Zurab Silagadze

We study the influence of quantum density fluctuations in ultracold atoms in an optical lattice on the scattering of matter waves. Such fluctuations are characteristic of the superfluid phase and vanish due to increased interactions in the…

Quantum Gases · Physics 2011-02-08 Scott N. Sanders , Florian Mintert , Andreas Buchleitner

We study the vacuum radiative corrections to energy levels of a confined electron in quantum rings. The calculations are provided for the Lamb shift of energy levels in low-momentum region of virtual photons and for both one-dimensional and…

Quantum Physics · Physics 2015-01-07 G. Yu. Kryuchkyan , O. Kyriienko , I. A. Shelykh

Space--time can be understood as some kind of space--time foam of fluctuating bubbles or loops which are expected to be an outcome of a theory of quantum gravity. One recently discussed model for this kind of space--time fluctuations is the…

General Relativity and Quantum Cosmology · Physics 2011-06-02 Ertan Göklü , Claus Lämmerzahl

We investigate black-body induced energy shifts for low-lying levels of atomic systems, with a special emphasis on transitions used in current and planned high-precision experiments on atomic hydrogen and ionized helium. Fine-structure and…

Atomic Physics · Physics 2009-01-14 U. D. Jentschura , M. Haas

Gauge effects on the fluctuation properties of the normal-to-superconducting phase transition in bulk and thin film superconductors are reviewed. Similar problems in the description of other natural systems (liquid crystals, quantum field…

Superconductivity · Physics 2016-08-31 Diana V. Shopova , Dimo I. Uzunov

We study space-time non-commutativity applied to the hydrogen atom via the Seiberg-Witten map and its phenomenological effects. We find that it modifies the Coulomb potential in the Hamiltonian and add an r-3 part. By calculating the…

High Energy Physics - Phenomenology · Physics 2012-08-31 Mustafa Moumni , Achor BenSlama , Slimane Zaim

We consider a model of modified gravity from the nonperturbative quantization of a metric. We obtain the modified gravitational field equations and the modified conservational equations. We apply it to the FLRW spacetime and find that due…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Rong-Jia Yang

Using a density matrix description in space we study the evolution of wavepackets in a fluctuating space-time background. We assume that space-time fluctuations manifest as classical fluctuations of the metric. From the non-relativistic…

General Relativity and Quantum Cosmology · Physics 2010-04-30 E. Göklü , C. Lämmerzahl , A. Camacho , A. Macias

The Lamb Shift (LS) of Hydrogenlike atom is evaluated by a simple method of quantum electrodynamics in noncovariant form, based on the relativistic stationary Schr\"odinger equation. An induced term proportional to $\overrightarrow{p}^4$ in…

Quantum Physics · Physics 2007-05-23 Guang-jiong Ni , Jun Yan

We present a formalism to discern the effects of fluctuations of the spacetime metric on electromagnetic radiation. The formalism works via the measurement of electromagnetic field correlations, while allowing a clear assessment of the…

General Relativity and Quantum Cosmology · Physics 2024-04-09 B. Sharmila , Sander M. Vermeulen , Animesh Datta

We consider the back-reaction of cosmological fluctuations on the local expansion rate averaged over a space-like hypersurface of constant value of a clock field. We show that in the infrared limit, the fluctuations lead to a decrease in…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Vincent Comeau , Robert Brandenberger

Quantum fluctuations impose fundamental limits on measurement and space-time probing. Although using optimised probe fields can allow to push sensitivity in a position measurement beyond the "standard quantum limit", quantum fluctuations of…

Quantum Physics · Physics 2009-10-28 Marc-Thierry Jaekel , Serge Reynaud

Using a \emph{gedanken} experiment providing presumably a minimal inaccuracy the uncertainty contributions to the space-time measurement are precisely evaluated for clock and mirror respectively. The resulting expression of minimal…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Maziashvili

Review of recent works devoted to the temporal and spatial variation of the fundamental constants and dependence of the fundamental constants on the gravitational potential (violation of local position invariance) is presented. We discuss…

Nuclear Theory · Physics 2009-08-18 V. V. Flambaum