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Since its discovery, quantum theory has proven to be one of the most precise theories ever made. Measurement processes, however, do not seem to be governed by the unitary law of quantum mechanics, and one can ask if the theory is complete.…

Quantum Physics · Physics 2011-04-15 Thiago Guerreiro , Fernando Monteiro

The nuclear quantum effects of hydrogen play a significant role in determining the phase stability of water ice. Hydrogen-bond symmetrization occurs as hydrogen atoms tunnel in a double-well potential, ultimately occupying the midpoint…

Materials Science · Physics 2025-11-06 Qi Zhang , Lei Wang

Nuclear-structure effects often provide an irreducible theory error that prevents using precision atomic measurements to test fundamental theory. We apply newly developed effective field theory tools to Hydrogen atoms, and use them to show…

High Energy Physics - Phenomenology · Physics 2021-02-03 C. P. Burgess , P. Hayman , Markus Rummel , László Zalavári

We propose a theoretical scenario to solve the proton radius puzzle which recently arises from the muonic hydrogen experiment. In this framework, 4 + n dimensional theory is incorporated with modified gravity. The extra gravitational…

High Energy Physics - Phenomenology · Physics 2013-06-27 Li-Bang Wang , Wei-Tou Ni

The "proton radius puzzle" was recently solved by reducing the four-standard deviation discrepancy between the results for electronic hydrogen ($H$) and muonic hydrogen ($\mu H$) atoms to $3.3$ value. The value of the root-mean-square…

Atomic Physics · Physics 2021-03-30 D. Solovyev , T. Zalialiutdinov , A. Anikin

We compute trace anomaly contribution to hydrogen atom mass, which turns out to be related to the part of the Lamb shift. This finding might shed new light on our understandings of the mass structure of QCD bound states, such as, proton.

High Energy Physics - Phenomenology · Physics 2021-09-15 Bao-dong Sun , Ze-hao Sun , Jian Zhou

We show that off-mass-shell effects arising from the internal structure of the proton provide a new proton polarization mechanism in the Lamb shift, proportional to the lepton mass to the fourth power. This effect is capable of resolving…

Atomic Physics · Physics 2015-05-27 G. A. Miller , A. W. Thomas , J. D. Carroll , J. Rafelski

Phase I of hydrogen has several peculiarities. Despite having a close-packed crystal structure, it is less dense than either the low temperature Phase II or the liquid phase. At high pressure, it transforms into either phase III or IV,…

Computational Physics · Physics 2016-05-17 Ioan B Magdau , Floris Balm , Graeme J Ackland

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

We give a review of experimental and theoretical results on the precision study of hydrogen-like atoms with low value of the nuclear charge Z.

High Energy Physics - Phenomenology · Physics 2009-10-31 Savely G. Karshenboim

A phase space mathematical formulation of quantum mechanical processes accompanied by and ontological interpretation is presented in an axiomatic form. The problem of quantum measurement, including that of quantum state filtering, is…

Quantum Physics · Physics 2015-06-26 Daniela Dragoman

We numerically study the finite-size droplet condensation-evaporation transition in two dimensions. We consider and compare two orthogonal approaches, namely at fixed temperature and at fixed density, making use of parallel multicanonical…

Statistical Mechanics · Physics 2017-01-13 Andreas Nußbaumer , Johannes Zierenberg , Elmar Bittner , Wolfhard Janke

Hydrogen exhibits unusual behaviors at megabar pressures, with consequences for planetary science, condensed matter physics and materials science. Experiments at such extreme conditions are challenging, often resulting in hard-to-interpret…

Materials Science · Physics 2022-01-05 Bingqing Cheng , Guglielmo Mazzola , Michele Ceriotti

The interplay between electron correlation and nuclear quantum effects makes our understanding of elemental hydrogen a formidable challenge. Here, we present the phase diagram of hydrogen and deuterium at low temperatures and high-pressure…

Materials Science · Physics 2023-06-28 Lorenzo Monacelli , Michele Casula , Kosuke Nakano , Sandro Sorella , Francesco Mauri

We illustrate the description of correlated subsystems by studying the simple two-body Hydrogen atom. We study the entanglement of the electron and proton coordinates in the exact analytical solution. This entanglement, which we quantify in…

Quantum Physics · Physics 2009-10-30 Paolo Tommasini , Eddy Timmermans , A. F. R. de Toledo Piza

The hydrogen atom under the pressure of a spherical penetrable confinement potential of a decreasing radius $r_{0}$ is explored, as a case study. A novel counter-intuitive effect of atomic swelling rather than shrinking with decreasing…

Atomic Physics · Physics 2015-06-11 V. K. Dolmatov , J. L. King

A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the…

Atomic Physics · Physics 2017-01-02 Babak Nadiri Niri

Reinforcement of the puzzle about the proton charge radius r, stimulated by the recent experiments with muonic hydrogen induced news discussions on the subject, and now some physicists are ready to adopt the exotic properties of muon, lying…

Atomic Physics · Physics 2015-06-16 Alexander L Kholmetskii , Oleg V Missevitch , Tolga Yarman

We show that the value of the proton mass depends on each bound state of muonic or electronic hydrogen atom. The charged particle bound to the proton produces magnetic field inside the proton. This makes a change to the amount of chiral…

High Energy Physics - Phenomenology · Physics 2014-08-12 Aiichi Iwazaki

The nonequilibrium phase transition in a system of diffusing, coagulating particles in the presence of a steady input and evaporation of particles is studied. The system undergoes a transition from a phase in which the average number of…

Statistical Mechanics · Physics 2009-11-10 R. Rajesh