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The equations of the conformal field theory of gravitation with the Dirac's scalar field in Weyl-Cartan spacetime have been received. Exact solutions for Dirac's scalar field for an early Universe have been derived. Intensive decrease of…

General Relativity and Quantum Cosmology · Physics 2011-02-16 O. V. Babourova , B. N. Frolov , R. S. Kostkin

The stationary Schr\"odinger equation for an electron in a constant electromagnetic field with a non-Hermitian linear perturbation is studied. The wave function and the spectrum of the system are derived analytically, with the spectrum…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Jorge A. Lizarraga , Kenan Uriostegui

In the present work, the energy spectrum and solution of Dirac's equation for the charged and neutral fermions taking into account interaction of the anomalous magnetic moments of particles with the external field are obtained. The total…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. Mamsourov , H. Goudarzi

In the context of some deformed canonical commutation relations leading to isotropic nonzero minimal uncertainties in the position coordinates, a Dirac equation is exactly solved for the first time, namely that corresponding to the Dirac…

Mathematical Physics · Physics 2009-11-10 C. Quesne , V. M. Tkachuk

The effects of the Dirac sea of the nucleons are investigated within a covariant model of the hadronic interaction. We extend the usual Mean Field Approximation and present a procedure to deal with divergences which are proportional to…

Nuclear Theory · Physics 2019-12-18 R. M. Aguirre

Nonlinear Maxwell equations are written up to the third-power deviations from a constant-field background, valid within any local nonlinear electrodynamics including QED with a Euler-Heisenberg (EH) effective Lagrangian. The linear electric…

High Energy Physics - Theory · Physics 2016-07-01 T. C. Adorno , D. M. Gitman , A. E. Shabad

The core concept of quantum simulation is the mapping of an inaccessible quantum system onto a controllable one by identifying analogous dynamics. We map the Dirac equation of relativistic quantum mechanics in 3+1 dimensions onto a…

Quantum Physics · Physics 2019-04-10 Elisha Svetitsky , Nadav Katz

We investigate the effects of homogeneous general dark energy on the non-linear matter perturbation in fully general relativistic context. The equation for the density contrast contains even at linear order new contributions which are…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-30 Sang Gyu Biern , Jinn-Ouk Gong

On the basis of the transfer matrix technique an analytical method to investigate the stationary states, for an electron in one-dimensional periodic structures in an external electrical field, displaying the symmetry of the problem is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. L. Chuprikov

We consider a massive fermionic quantum field localized on a plane in external constant and homogeneous electric and magnetic fields. The magnetic field is perpendicular to the plane and the electric field is parallel. The complete set of…

High Energy Physics - Theory · Physics 2024-05-20 V. V. Parazian

According to the Schiff theorem an external electric field vanishes at atomic nucleus in a neutral atom, i.e. it is completely shielded by electrons. This makes a nuclear electric dipole moment (EDM) unobservable. In this paper an extension…

Atomic Physics · Physics 2018-10-10 V. V. Flambaum

The classic Abraham-Lorentz-Dirac self-force of point-like particles is generalized within an effective field theory setup to include linear spin and susceptibility effects described perturbatively, in that setup, by effective couplings in…

High Energy Physics - Theory · Physics 2024-06-06 Gustav Uhre Jakobsen

A consistent theory of free tachyons has shown how tachyon neutrinos can explain major cosmological phenomena, Dark Energy and Dark Matter. Now we investigate how tachyon neutrinos might interact with other particles: the weak interactions.…

General Physics · Physics 2023-07-26 Charles Schwartz

A nanophotonic waveguide coupled with an atomic array forms one of the strongly-coupled quantum interfaces to showcase many fascinating collective features of quantum dynamics. In particular for a dissimilar array of two different…

In this article, we study topological and noninertial effects on the motion of the two-dimensional Dirac oscillator in the presence of a uniform magnetic field and the Aharonov-Bohm potential. We obtain the Dirac equation that describes the…

High Energy Physics - Theory · Physics 2020-11-24 Márcio M. Cunha , Henrique S. Dias , Edilberto O. Silva

We study laterally trapped dipolar exciton ensembles in coupled GaAs quantum wells at high magnetic fields in the Faraday configuration. In photoluminescence experiments, we identify three magnetic field regimes. At low fields, the exciton…

Quantum Gases · Physics 2017-06-28 S. Dietl , K. Kowalik-Seidl , D. Schuh , W. Wegscheider , A. W. Holleitner , U. Wurstbauer

In conventional optical Stark-shift spectroscopy, molecules are exposed to spatially homogeneous static electric fields that shift the energies of their spectral lines. These shifts are attributed to the molecular electronic properties,…

Motivated by the long-debated question about the internal stability of the electron, the force densities acting on the charge density of the 1s electron in the H atom are investigated. The problem is mapped onto the canonical formalism for…

Atomic Physics · Physics 2016-06-22 F. J. Himpsel

For the first time the exact analytical expressions for the three-dimensional bound electron states in the Coulomb field of the chain consisting of positively charged ions, are obtained within the Dirac description, using the new spinor…

Mesoscale and Nanoscale Physics · Physics 2024-11-22 Alexander Eremko , Larissa Brizhik , Vadim Loktev

In this article, we investigate soliton solutions in a system involving a charged Dirac field minimally coupled to Einstein gravity and the Bardeen field. We analyze the impact of two key parameters on the properties of the solution family:…

General Relativity and Quantum Cosmology · Physics 2024-11-21 Shi-Xian Sun , Long-Xing Huang , Zhen-Hua Zhao , Yong-Qiang Wang
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