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Related papers: The hydrogen atom in electric and magnetic fields …

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We consider a non-relativistic two-dimensional (2D) hydrogen-like atom in a weak, static, uniform magnetic field perpendicular to the atomic plane. Within the framework of the Rayleigh-Schr\"odinger perturbation theory, using the Sturmian…

Quantum Physics · Physics 2018-06-12 Radosław Szmytkowski

We consider the dispersion interaction between two ground-state hydrogen atoms, interacting with the quantum electromagnetic field in the vacuum state, in the presence of an external static electric field, both in the nonretarded and in the…

Quantum Physics · Physics 2020-01-10 G. Fiscelli , L. Rizzuto , R. Passante

The quadrupole moment of a hydrogen atom in a magnetic field for field strengths from 0 to 4.414e13 G is calculated by two different methods. The first method is variational, and based on a single trial function. The second method deals…

Atomic Physics · Physics 2007-05-23 A. Y. Potekhin , A. V. Turbiner

In this paper we overview some results on the hydrogen atom in external static uniform magnetic fields. We focus on the case of very strong magnetic field, B>>B_0=2.3x10^9 Gauss, use various approximate models and, particularly, in the…

Chemical Physics · Physics 2007-05-23 A. K. Aringazin

We have investigated the wave-function feature of Rydberg sodium in a uniform electric field and found that the core-induced interaction of non-hydrogenic atom in electric field can be directly visualized in the wave-function. As is well…

Atomic Physics · Physics 2016-08-24 W. Gao , M. Deng , H. Cheng , S. S. Zhang , H. P. Liu

The hydrogen atom perturbed by a constant 1-dimensional weak quadratic potential $\lambda z^2$ is solved at first-order perturbation theory using the eigenstates of the total angular momentum operator - the coupled basis. Physical…

Quantum Physics · Physics 2024-08-20 C. Santamarina Ríos , P. Rodríguez Cacheda , J. J. Saborido Silva

It is shown that all of the basic properties of the hydrogen atom can be consistently described in terms of classical electrodynamics instead of taking the electron to be a particle; we consider an electrically charged classical wave field,…

General Physics · Physics 2017-03-08 Sergey Rashkovskiy

The solution of Dirac's equation for the hydrogen atom according to relativistic wave mechanics yields for each state a vectorial amplitude function with four components, two large and two small. Each such component has its characteristic…

General Physics · Physics 2020-06-29 J. F. Ogilvie

In this work we calculate the correction to the ground state energy of the hydrogen atom due to contributions arising from the presence of a minimal length. The minimal length scenario is introduced by means of modifying the Dirac equation…

High Energy Physics - Theory · Physics 2015-06-16 T. L. Antonacci Oakes , R. O. Francisco , J. C. Fabris , J. A. Nogueira

Nonrelativistic over-barrier ionization (OBI) of atoms in strong electric fields is studied, focussing on hydrogen and helium as concrete examples. Our goal is, on the one hand, to develop an intuitive physical picture behind established…

Atomic Physics · Physics 2025-06-12 S. Remme , A. B. Voitkiv , G. Pretzler , C. Müller

Some traces of a specific Lorentz symmetry breaking scenario in the ground state of the Hydrogen atom are investigated. It is used standard Rayleigh-Schr\"odinger perturbation theory in order to obtain the corrections to the the ground…

High Energy Physics - Theory · Physics 2016-11-29 Luiz Henrique de Campos Borges , Fabricio Augusto Barone Rangel

We apply the non-linear Euler-Heisenberg theory to calculate the electric field inside the hydrogen atom. We will demonstrate that the electric field calculated in the Euler-Heisenberg theory can be much smaller than the corresponding field…

High Energy Physics - Phenomenology · Physics 2019-05-22 M. Nowakowski , N. G. Kelkar , D. Bedoya Fierro , A. D. Bermudez Manjarres

We study space-time noncommutativity applied to the hydrogen atom and the phenomenological aspects induced. We find that the noncommutative effects are similar to those obtained by considering the extended charged nature of the proton in…

High Energy Physics - Phenomenology · Physics 2014-11-20 Mustafa Moumni , Achour BenSlama , Slimane Zaim

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

Usually the influence of the quadratic Stark effect on an ion's trapping potential is minuscule and only needs to be considered in atomic clock experiments. In this work we excite a trapped ion to a Rydberg state with polarizability…

Quantum Physics · Physics 2019-10-16 Gerard Higgins , Fabian Pokorny , Chi Zhang , Markus Hennrich

We analyze electric fields in ion sources generated by quasi-continuous photo-ionization of cold Rb atoms trapped in the focal spot of a near-concentric, in-vacuum cavity for 1064-nm laser light. Ion streams are extracted with an external…

Atomic Physics · Physics 2023-04-19 Alisher Duspayev , Georg Raithel

This study presents the confinement influences of Aharonov-Bohm-flux (AB-flux), electric and magnetic fields directed along $z$-axis and encircled by quantum plasmas, on the hydrogen atom. The all-inclusive effects result to a strongly…

Quantum Physics · Physics 2016-05-25 Babatunde James Falaye , Guo-Hua Sun , Ramón Silva-Ortigoza , Shi-Hai Dong

The effective Hamiltonian describing resonant interaction of an ensemble of identical quantum particles with a photon-free vacuum electromagnetic field has been obtained with allowance for the second-order terms over the coupling constant…

Quantum Physics · Physics 2011-01-19 A. M. Basharov

Helium atoms have been prepared in the circular $|n=55,\ell=54,m_{\ell}=+54\rangle$ Rydberg state using the crossed electric and magnetic fields method. The atoms, initially travelling in pulsed supersonic beams, were photoexcited from the…

Atomic Physics · Physics 2016-11-07 V. Zhelyazkova , S. D. Hogan

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