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The two-dimensional hydrogen-like atom in a constant magnetic field is considered. It is found that this is actually two separate problems. One for which the magnetic field causes an effective attraction between the nucleus and the electron…

Mathematical Physics · Physics 2022-11-15 M. G. Naber

We define passive gravitational mass operator of the simplest composite quantum body - a hydrogen atom - to be proportional to its weight operator in a weak gravitational field. Although it does not commute with energy operator, taken in…

General Relativity and Quantum Cosmology · Physics 2013-04-24 Andrei G. Lebed

The states of hydrogen atom with principal quantum number $n\le3$ and zero magnetic quantum number in constant homogeneous magnetic field ${\cal H}$ are considered. The coefficients of energy eigenvalues expansion up to 75th order in powers…

Atomic Physics · Physics 2015-08-06 V. A. Gani , A. E. Kudryavtsev , V. M. Weinberg

Atoms made of a particle and an antiparticle are unstable, usually surviving less than a microsecond. Antihydrogen, made entirely of antiparticles, is believed to be stable, and it is this longevity that holds the promise of precision…

The dynamics of the approach to equilibrium of the hydrogen atom is investigated numerically through a Monte Carlo procedure. We show that, before approaching ionization, the hydrogen atom may live in a quasi-equilibrium state,…

Statistical Mechanics · Physics 2007-05-23 N. M. Oliveira-Neto , E. M. F. Curado , F. D. Nobre , M. A. Rego-Monteiro

The simplest quantum composite body, a hydrogen atom, is considered in the presence of a weak external gravitational field. We define an operator for the passive gravitational mass of the atom in the post-Newtonian approximation of the…

General Relativity and Quantum Cosmology · Physics 2014-04-17 Andrei G. Lebed

We define passive and active gravitational mass operators of the simplest composite quantum body - a hydrogen atom. Although they do not commute with its energy operator, the equivalence between the expectation values of passive and active…

General Relativity and Quantum Cosmology · Physics 2014-04-16 Andrei G. Lebed

We determine active gravitational mass operator of the simplest composite quantum body - a hydrogen atom - within the semiclassical approach to the Einstein equation for a gravitational field. We show that the expectation value of the mass…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Andrei G. Lebed

We define passive gravitational mass operator of a hydrogen atom in the post-Newtonian approximation of general relativity and show that it does not commute with energy operator, taken in the absence of gravitational field. Nevertheless,…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Andrei G. Lebed

The first order estimate of energy and eigenstate of a perturbed system are found by summation over its basis.

Quantum Physics · Physics 2009-11-02 Raghu Ramachandran , Rama Komaragiri

We treat the mass of a proton as the total static energy which can be separated into two parts that come from the contribution of quarks and gluons respectively. We adopt the essential of the bag model of hadron to discuss the structure of…

High Energy Physics - Phenomenology · Physics 2010-01-09 Z. G. Tan , L. Y. Huang , C. B. Yang

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

We present and discuss a wide-range hydrogen equation of state model based on a consistent set of ab initio simulations including quantum protons and electrons. Both the process of constructing this model and its predictions are discussed…

The assumption that the ratio of the Higgs self-coupling to the square of its yukawa coupling to the top is (almost) independent of the renormalization scale fixes the Higgs mass within narrow limits at m=160 GeV using only the values of…

High Energy Physics - Phenomenology · Physics 2011-01-13 J. Pasupathy

It is shown that passive gravitational mass operator of a hydrogen atom in the post-Newtonian approximation of the general relativity does not commute with its energy operator, taken in the absence of gravitational field. Nevertheless, the…

General Relativity and Quantum Cosmology · Physics 2012-08-29 Andrei G. Lebed

The low energy scattering of heavy positively charged particles on hydrogen atoms (H) are investigated by solving the Faddeev equations in configuration space. A resonant value of the pH scattering length, $a=750\pm 5$ a.u., in the pp…

Quantum Physics · Physics 2009-11-07 R. Lazauskas , J. Carbonell

In this article the concept of mass is analyzed based on the special and general relativity theories and particle (quantum) physics. The mass of a particle (m=E(0)/c^2) is determined by the minimum (rest) energy to create that particle…

General Physics · Physics 2009-02-18 S. O. Tagieva , M. Erturk

We study the hydrogen atom confined to a spherical box with impenetrable walls but, unlike earlier pedagogical articles on the subject, we assume that the nucleus also moves. We obtain the ground-state energy approximately by means of…

Quantum Physics · Physics 2015-05-13 Francisco M. Fernandez

The rest masses of the electron, the muon and of the stable mesons and baryons can be explained, within 1% accuracy, with the standing wave model, which uses only photons, neutrinos, charge and the weak nuclear force. We do not need…

General Physics · Physics 2009-09-29 E. L. Koschmieder

We will show that one half of the rest mass of the electron is equal to the sum of the rest masses of electron neutrinos and that the other half of the rest mass of the electron is given by the energy in the sum of electric oscillations.…

General Physics · Physics 2011-04-11 E. L. Koschmieder