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The variational method in a reformulated Hamiltonian formalism of Quantum Electrodynamics is used to derive relativistic wave equations for systems consisting of n fermions and antifermions of various masses. The derived interaction kernels…

Quantum Physics · Physics 2015-06-17 Mohsen Emami-Razavi , Nantel Bergeron , Jurij W. Darewych

Radiative transitions between charmonium states offer an insight into the internal structure of heavy-quark bound states within QCD. We compute, for the first time within lattice QCD, the transition form-factors of various multipolarities…

High Energy Physics - Phenomenology · Physics 2014-11-18 Jozef J. Dudek , Robert G. Edwards , David G. Richards

Is it possible that two different transitions in the non-relativistic quantum mechanical model of the hydrogen atom give the same frequency? That is, can different energy level transitions in a hydrogen atom have the same photon radiation…

Quantum Physics · Physics 2022-08-08 Kim Tuan Do , Trung Phan

Rigorous quantum electrodynamical calculation is presented for energy levels of the 1^1S, 2^1S, 2^3S, 2^1P_1, and 2^3P_{0,1,2} states of helium-like ions with the nuclear charge Z=3...12. The calculational approach accounts for all…

Atomic Physics · Physics 2015-05-14 Vladimir A. Yerokhin , Krzysztof Pachucki

Physical laws are believed to be invariant under the combined transformations of charge, parity and time reversal (CPT symmetry). This implies that an antimatter particle has exactly the same mass and absolute value of charge as its…

A few per cent fraction of antiprotons stopped in helium survives for an enormous time (up to tens of microseconds) in comparison with the usual lifetime ($10^{-12}s$) of these particles in matter. The explanation is that antiprotons are…

Nuclear Theory · Physics 2011-04-15 O. I. Kartavtsev

The $m \alpha^6$ correction to energy is expressed in terms of an effective Hamiltonian $H^{(6)}$ for an arbitrary state of helium. Numerical calculations are performed for $n=2$ levels, and the previous result for the $2^3P$ centroid is…

Atomic Physics · Physics 2009-11-13 Krzysztof Pachucki

Thermal corrections to the one-photon spontaneous and induced transition probabilities for hydrogen and hydrogen-like ions are evaluated. The found thermal corrections are given by the vertex Feynman graph, where the vertex represents the…

Atomic Physics · Physics 2020-12-23 D. Solovyev , T. Zalialiutdinov , A. Anikin

We critically examine the current status of theoretical calculations of the energies, the fine structure, and the isotope shift of the lowest-lying states of helium, searching for unresolved discrepancies with experiments. Calculations are…

Atomic Physics · Physics 2017-06-28 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir Yerokhin

A variational treatment for a two-electron quantum dot (the artificial helium atom) is proposed which leads to exact answer for the ground state energy. Depending on the magnetic field value the singlet-triplet and triplet-triplet…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Subinoy Das , Pallab Goswami , J. K. Bhattacharjee

A non-linear non-perturbative relativistic atomic theory introduces spin in the dynamics of particle motion. The resulting energy levels of Hydrogen atom are exactly same as the Dirac theory. The theory accounts for the energy due to…

General Physics · Physics 2014-11-26 Vikram H. Zaveri

Corrections of order $\alpha^4$Ry are calculated for the singlet states $1^1S_0$ and $2^1S_0$ of the helium atom. The result for $1^1S_0$ state is in slight disagreement with that of Korobov and Yelkhovsky in [Phys. Rev. Lett. {\bf 87},…

Atomic Physics · Physics 2009-11-13 Krzysztof Pachucki

Ultracold dilute gases provide ideal settings for measurements of atomic structure. Helium has an internal structure sufficiently simple to permit highly accurate predictions of its resonances and transition rates. Precise laser…

Quantum Gases · Physics 2022-12-13 Jacob A Ross

A recent 15 parts-per-million (ppm) experiment on muonic hydrogen found a major discrepancy with QED and independent nuclear size determinations. Here we find a significant discrepancy in a different type of exotic atom, a medium-Z nucleus…

The motion of metastable helium atoms travelling through a standing light wave is investigated with a semi-classical numerical model. The results of a calculation including the velocity dependence of the dipole force are compared with those…

Atomic Physics · Physics 2007-05-23 S. J. H. Petra , K. A. H. van Leeuwen , L. Feenstra , W. Hogervorst , W. Vassen

We investigate the electromagnetic transition probabilities for the helium atom embedded in a superstrong magnetic field taking into account the finite nuclear mass. We address the regime \gamma=100-10000 a.u. studying several excited…

Atomic Physics · Physics 2009-11-10 O. -A. Al-Hujaj , P. Schmelcher

Quantum electrodynamics has been the first theory to emerge from the ideas of regularization and renormalization, and the coupling of the fermions to the virtual excitations of the electromagnetic field. Today, bound-state quantum…

Atomic Physics · Physics 2009-11-11 U. D. Jentschura

Experimental attempts to implement quantum speedup of computations over the past 30 years have yielded a negative result, despite the absence of physical laws prohibiting such speedup. The article formulates the limitation of quantum…

Quantum Physics · Physics 2019-10-07 Yuri Ozhigov

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

We apply quantum rate theory to calculate the transition rates as hydrogen or deuterium atoms escape from a vacancy trap in iron into a neighbouring metastable site. We determine transition rates and corresponding activation energies over a…

Materials Science · Physics 2014-01-21 Ivaylo H. Katzarov , Anthony T. Paxton