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This is a review paper outlining recent progress in the spectral analysis of first order systems. We work on a closed manifold and study an elliptic self-adjoint first order system of linear partial differential equations. The aim is to…

谱理论 · 数学 2016-12-13 Zhirayr Avetisyan , Yan-Long Fang , Dmitri Vassiliev

We provide a mathematically rigorous derivation of the first order expansion of the motion of a charged particle in a strong magnetic field. In contrast to the derivations that can be found in the physics literature we solely assume…

数学物理 · 物理学 2026-02-12 Ugo Boscain , Wadim Gerner

We re-evaluate the electromagnetic corrections to eta --> 3 pi decays at next-to-leading order in the chiral expansion, arguing that effects of order e^2(m_d-m_u) disregarded so far are not negligible compared to other contributions of…

高能物理 - 唯象学 · 物理学 2012-05-01 Christoph Ditsche , Bastian Kubis , Ulf-G. Meißner

Recently we have computed the third order corrections to the ground state energy of the arbitrarily polarized diluted gas of spin 1/2 fermions interacting through a spin-independent repulsive two-body potential. Here we extend this result…

量子气体 · 物理学 2023-07-05 Piotr H. Chankowski , Jacek Wojtkiewicz , Szymon Augustynowicz

We calculate the Casimir interaction energy in $d=2$ spatial dimensions between two (zero-width) mirrors, one flat, and the other slightly curved, upon which {\em imperfect\/} conductor boundary conditions are imposed for an Electromagnetic…

高能物理 - 理论 · 物理学 2015-06-11 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

In this article we analyze the role of an external electric field, in the weak field approximation, on $\pi$-$\pi$ scattering lengths. The discussion is presented in the frame of the linear sigma model. To achieve this, we take into account…

高能物理 - 唯象学 · 物理学 2024-04-03 R. Cadiz , M. Loewe , R. Zamora

The energy levels of the $n=1$ and $n=2$ bound states of the $\mu^+\mu^-$ atom (true muonium) are calculated starting from a previously derived potential that correctly describes positronium to order $\alpha^5$ supplemented by the known…

高能物理 - 唯象学 · 物理学 2025-05-09 Wayne W. Repko

The low temperature expansion of the free energy of atom/plane system is considered for general symmetric form of tensor conductivity of the plane. It is shown that the first correction is proportional to second order of the temperature…

介观与纳米尺度物理 · 物理学 2019-01-29 Nail Khusnutdinov , Natalia Emelianova

A potential for the vertex and self-energy correction is derived from the first-order Born theory. The inclusion of this potential in the Dirac equation, together with the Uehling potential for vacuum polarization, allows for a…

核理论 · 物理学 2023-07-25 D. H. Jakubassa-Amundsen

An alternative derivation of the first-order relativistic contribution to perihelic precession is presented. Orbital motion in the Schwarzschild geometry is considered in the Keplerian limit, and the orbit equation is derived for…

地球与行星天体物理 · 物理学 2010-01-26 Tyler J. Lemmon , Antonio R. Mondragon

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher-order…

原子物理 · 物理学 2010-01-14 U. D. Jentschura , V. A. Yerokhin

We calculate the large-$N$ expansion of the sphere free energy $F=-\log Z_{S^d}$ of the O(N) $\phi^4$ and the Gross-Neveu $(\bar{\psi} \psi)^2$ CFTs to order $1/N$. Analytic regularization of these theories requires consistently shifting…

高能物理 - 理论 · 物理学 2026-01-26 Ludo Fraser-Taliente

This paper presents a brief review of the newly developed \emph{Extended Electrodynamics}. The relativistic and non-relativistic approaches to the extension of Maxwell equations are considered briefly, and the further study is carried out…

高能物理 - 理论 · 物理学 2007-05-23 Stoil Donev , Maria Tashkova

The helical Dirac states on the surface of a topological insulator are protected by topology and display significant particle-hole asymmetry. This asymmetry arises from a subdominant Schr\"{o}dinger type contribution to the Hamiltonian…

介观与纳米尺度物理 · 物理学 2015-06-18 Zhou Li , J. P. Carbotte

We examine physical aspects for the electric version of a recently proposed logarithmic electrodynamics, for which the electric field of a point-like charge is finite at the origin. It is shown that this electrodynamics displays the vacuum…

经典物理 · 物理学 2019-05-22 Patricio Gaete , José A. Helayël-Neto , L. P. R. Ospedal

Radiation domination at the electroweak epoch is a simplifying assumption, but one for which there is no observational basis. Treating the expansion rate as a variable, I re-examine electroweak baryogenesis in various scenarios. At a first…

高能物理 - 唯象学 · 物理学 2007-05-23 Michael Joyce

The behavior of the electromagnetic field near a common edge of a resistive half-plane and a perfectly conducting wedge is investigated. The possible appearance besides power terms also of logarithmic functions in the field expansions at…

经典物理 · 物理学 2024-10-29 I. M. Braver , P. Sh. Fridberg , Kh. L. Garb , I. M. Yakover

Within the framework of many-particle perturbation theory, we develop an analytical approach that allows us to determine the small distance behavior of Green's functions and related quantities in electronic structure theory. As a case…

数学物理 · 物理学 2025-03-17 Heinz-Juergen Flad , Michael Griebel

For lambda phi^4 models, the introduction of a large field cutoff improves significantly the accuracy that can be reached with perturbative series but the calculation of the modified coefficients remains a challenging problem. We show that…

高能物理 - 理论 · 物理学 2009-11-11 L. Li amd Y. Meurice

A new scheme for the numerical evaluation of the one-loop self-energy correction to all orders in Z \alpha is presented. The scheme proposed inherits the attractive features of the standard potential-expansion method but yields a…

原子物理 · 物理学 2009-11-11 Vladimir A. Yerokhin , Krzysztof Pachucki , Vladimir M. Shabaev