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Carter derived the forms of the metric and the vector potentials of the space-times in which the relativistic Schrodinger equation for the motion of a charged particle separates. Here we show that on each `spheroidal' surface a rotation…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Jonathan R Gair , Donald Lynden-Bell

We provide a full realization of the electromagnetic duality at the boundary by extending the phase space of Maxwell's theory through the introduction of edge modes and their conjugate momenta. We show how such extension, which follows from…

高能物理 - 理论 · 物理学 2018-12-24 Laurent Freidel , Daniele Pranzetti

For a relativistic system of two scalar particles, we find the Bethe-Salpeter amplitude in Minkowski space and use it to compute the electromagnetic form factor. The comparison with Euclidean space calculation shows that the Wick rotation…

高能物理 - 唯象学 · 物理学 2010-04-21 J. Carbonell , V. A. Karmanov , M. Mangin-Brinet

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

A direct calculation of the elements of the photon polarization vector for arbitrary momentum in the helicity basis shows that it is not a vector but a complex bivector. The bivector real and imaginary parts can be directly equated with…

量子物理 · 物理学 2007-05-23 Brian Seed

An algebraic approach is formulated in the harmonic approximation to describe a dynamics of two-fermion systems, confined in three-dimensional axially symmetric parabolic potential, in an external magnetic field. The fermion interaction is…

数学物理 · 物理学 2013-07-30 M. Cerkaski , R. G. Nazmitdinov

A bi-anisotropic magnetodielectric medium is modeled by two independent set of three dimensional harmonic oscillators .A fully canonical quantization of electromagnetic field is demonstrated in the presence of a bi-anisotropic…

量子物理 · 物理学 2015-10-28 Majid Amooshahi

We present an SO(2,4)-covariant quantization of the free electromagnetic field in conformally flat spaces (CFS). A CFS is realized in a six-dimensional space as an intersection of the null cone with a given surface. The smooth move of the…

高能物理 - 理论 · 物理学 2013-04-02 Sofiane Faci

A simple approach is proposed for the quantization of the electromagnetic field in nonlinear and inhomogeneous media. Given the dielectric function and nonlinear susceptibilities, the Hamiltonian of the electromagnetic field is determined…

量子物理 · 物理学 2009-10-30 Lu-Ming Duan , Guang-Can Guo

We study the electron self--energy in a strong magnetic field when the parameter \eta\equiv (\alpha/2\pi) \ln^2 (eB/m^2_0) \sim 1 and explore the transition between the perturbative regime \eta<<1 and the nonperturbative massless QED regime…

高能物理 - 唯象学 · 物理学 2008-11-26 V. P. Gusynin , A. V. Smilga

Electromagnetism is the energy originating from an electric charge. Our purpose is to enlarge Maxwell. Include the charge transfer phenomenology. A four bosons electromagnetism is derived. An EM completeness is achieved. The charge's set…

综合物理 · 物理学 2022-06-01 R. Doria , L. S. Mendes

While the dynamics for three-dimensional axially symmetric two-electron quantum dots with parabolic confinement potentials is in general non-separable we have found an exact separability with three quantum numbers for specific values of the…

介观与纳米尺度物理 · 物理学 2009-11-07 R. G. Nazmitdinov , N. S. Simonovic , Jan M. Rost

The standard classic special relativistic transformation of the electromagnetic (EM) field under proper Lorentz transformations is revisited. As to the pure Lorentz-boosts, popular treatments on EM transformation contemplate ideal…

经典物理 · 物理学 2021-09-06 Salil K Bedkihal , Rajeev K Pathak

We present a covariant framework for the quantization of the electromagnetic field in the presence of magnetic monopoles. Building on the two-potential formalism of Cabibbo and Ferrari, which treats electric and magnetic sources on equal…

高能物理 - 理论 · 物理学 2025-09-29 Kanan Anwar

In the ordinary quantum Maxwell theory of a free electromagnetic field, formulated on a curved 3-manifold, we observe that magnetic and electric fluxes cannot be simultaneously measured. This uncertainty principle reflects torsion: fluxes…

高能物理 - 理论 · 物理学 2008-11-26 Daniel S. Freed , Gregory W. Moore , Graeme Segal

The quantum dynamics of an electron in a uniform magnetic field is studied for geometries corresponding to integrable cases. We obtain the uniform asymptotic approximation of the WKB energies and wavefunctions for the semi-infinite plane…

介观与纳米尺度物理 · 物理学 2009-10-30 D. Spehner , R. Narevich , E. Akkermans

In the reduced phase space of electromagnetism, the generator of duality rotations in the usual Poisson bracket is shown to generate Maxwell's equations in a second, much simpler Poisson bracket. This gives rise to a hierarchy of…

高能物理 - 理论 · 物理学 2009-05-12 Glenn Barnich , Cedric Troessaert

We determine the commutation relations satisfied by the quantized electromagnetic field in the presence of macroscopic dielectrics and conductors, with arbitrary dispersive and dissipative properties. We consider in detail the case of two…

高能物理 - 理论 · 物理学 2015-05-13 Giuseppe Bimonte

We consider for the time-dependent Maxwell's equations the inverse problem of identifying locations and certain properties of small electromagnetic inhomogeneities in a homogeneous background medium from dynamic measurements of the…

数学物理 · 物理学 2007-06-04 Christian Daveau , Abdessatar Khelifi

The classical Maxwell--Born--Infeld field equations coupled with a Hamilton--Jacobi law of point charge motion are partially quantized by coupling the Hamilton-Jacobi phase function with an amplitude function, which combines with the phase…

数学物理 · 物理学 2009-11-10 Michael K. -H. Kiessling