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In order to the expected Planck-scale correction in the physical systems we have put forwarded a novel modified dispersion relation (MDR). It has a generalized structure. A specific choice of the function used in the construction of this…

General Physics · Physics 2020-03-02 Sohan Kumar Jha , Himangshu Barman , Anisur Rahaman

Bogolyubov transformations are introduced into the nonrelativistic model of particle interaction with scalar mesons. Within the framework of the generalized Hamiltonian formalism developed by Dirac, a translation-invariant perturbation…

High Energy Physics - Theory · Physics 2024-12-10 A. Shurgaia

In materials science, wedge disclinations are defects caused by angular mismatches in the crystallographic lattice. To describe such disclinations, we introduce an atomistic model in planar domains. This model is given by a…

Analysis of PDEs · Mathematics 2020-05-28 Pierluigi Cesana , Patrick van Meurs

The existence of a fundamental ultraviolet scale, such as the Planck scale, may lead to modifications of the dispersion relations for particles at high energies, in some scenarios of quantum gravity. We apply effective field theory to this…

High Energy Physics - Phenomenology · Physics 2009-11-10 Robert C. Myers , Maxim Pospelov

The energy levels of hydrogen-like atom on a noncommutative phase space were studied in the framework of relativistic quantum mechanics. The leading order corrections to energy levels 2S_{1/2}, 2P_{1/2} and 2P_{3/2} were obtained by using…

Mathematical Physics · Physics 2012-02-14 Huseyin Masum , Sayipjamal Dulat , Mutallip Tohti

We evaluate a number of systematic effects that are important for an experimental microwave measurement of the $n$$=$$2$ S-to-P intervals in atomic hydrogen. The analysis is important for both re-evaluating the best existing measurement…

Atomic Physics · Physics 2018-08-01 A. Marsman , M. Horbatsch , Z. A. Corriveau , E. A. Hessels

We propose a superradiant metrology technique to achieve the Heisenberg limit super-resolving displacement measurement by encoding multiple light momenta into a three-level atomic ensemble. We use $2N$ coherent pulses to prepare a single…

Quantum Physics · Physics 2014-08-27 Da-Wei Wang , Marlan O. Scully

We investigate collisional shifts of spectral lines involving excited hydrogenic states, where van der Waals coefficients have recently been shown to have large numerical values when expressed in atomic units. Particular emphasis is laid on…

Atomic Physics · Physics 2019-05-01 A. Matveev , N. Kolachevsky , C. M. Adhikari , U. D. Jentschura

We analyze a model for spin squeezing based on the so-called counter-twisting Hamiltonian, including the effects of dissipation and finite system size. We discuss the conditions under which the Heisenberg limit, i.e. phase sensitivity…

Quantum Physics · Physics 2009-11-07 A. André , M. D. Lukin

We study the theoretical foundations for the pressure shifts in high-precision atomic beam spectrosopy of hydrogen, with a particular emphasis on transitions involving higher excited P states. In particular, the long-range interaction of an…

Atomic Physics · Physics 2019-05-01 U. D. Jentschura , C. M. Adhikari , R. Dawes , A. Matveev , N. Kolachevsky

By using the non-relativistic effective Lagrangian approach to bound states, a complete expression for the isospin-breaking corrections to the energy levels and the decay widths of kaonic hydrogen is obtained up-to-and-including…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ulf-G. Meissner , Udit Raha , Akaki Rusetsky

A generalized form of 't Hooft-Nobbenhuis Complex space-time Transformation is applied on momentum space from which a new model of Deformed Special Relavity at Planck Scale is proposed. The model suggests an energy-dependent Planck's…

General Physics · Physics 2021-10-04 Jeffrey Alloy Q. Abanto

The measurement of the 2P^{F=2}_{3/2} to 2S^{F=1}_{1/2} transition in muonic hydrogen by Pohl et al. and subsequent analysis has led to the conclusion that the rms radius of the proton differs from the accepted (CODATA) value by…

Atomic Physics · Physics 2011-08-15 J. D. Carroll , A. W. Thomas , J. Rafelski , G. A. Miller

We consider a non-stationary Stokes-Nernst-Planck-Poisson system posed in perforated domains. Our aim is to justify rigorously the homogenization limit for the upscaled system derived by means of two-scale convergence in \cite{RMK12}. In…

Analysis of PDEs · Mathematics 2017-10-26 Vo Anh Khoa , Adrian Muntean

There are few good direct laboratory tests of boost invariance for electrons, because the experiments required often involve repeated precision measurements performed at different times of year. However, existing measurements and…

High Energy Physics - Phenomenology · Physics 2014-11-20 Brett Altschul

We calculate the shift in the atomic energy levels induced by the presence of a scalar field which couples to matter and photons. We find that a combination of atomic measurements can be used to probe both these couplings independently. A…

High Energy Physics - Phenomenology · Physics 2011-03-23 Philippe Brax , Clare Burrage

Deviation from standard dispersion relations for electrons and photons in the form of an extra term proportional to an arbitrarily high power of momentum is studied. It is shown that observational constraints lead to a region in the…

General Relativity and Quantum Cosmology · Physics 2019-12-16 Vladimír Balek , Orchidea Maria Lecian

The 7 standard deviations between the proton rms charge radius from muonic hydrogen and the CODATA-10 value from hydrogen spectroscopy and electron-scattering has caused considerable discussions. Here, we review the theory of the 2S-2P Lamb…

We have measured the 1S - 2S transition frequency in atomic hydrogen via two photon spectroscopy on a 5.8 K atomic beam. We obtain $f_{1S-2S} = 2 466 061 413 187 035 (10)$ Hz for the hyperfine centroid. This is a fractional frequency…

In this paper we assume the Higgs is an elementary scalar, and study how new physics could affect its couplings to electroweak gauge bosons. Adding LHC data to LEP data provides new, more stringent limits, particularly when the Higgs to two…

High Energy Physics - Phenomenology · Physics 2013-07-01 Eduard Masso , Veronica Sanz