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This paper provides a new analytical method to obtain Green's functions of linear dispersive partial differential equations. The Euler-Bernoulli beam equation and the one-dimensional heat conduction equation (dissipation equation) under…

Classical Physics · Physics 2022-09-20 Minjiang Zhu

The Fractional Fourier Transform (FRT) corresponds to an arbitrary-angle rotation in the phase space, e.g. the time-frequency (TF) space, and generalizes the fundamentally important Fourier Transform. FRT applications range from classical…

Optics · Physics 2024-03-06 Michał Lipka , Michał Parniak

The complex wave representation (CWR) converts unsigned 2D distance transforms into their corresponding wave functions. Here, the distance transform S(X) appears as the phase of the wave function \phi(X)---specifically,…

Machine Learning · Statistics 2013-02-06 Karthik S. Gurumoorthy , Anand Rangarajan

We propose an alternative formulation of Many-Body Perturbation Theory that uses the density-functional concept. Instead of the usual four-point integral equation for the polarizability, we obtain a two-point one, that leads to excellent…

Other Condensed Matter · Physics 2010-07-01 Fabien Bruneval , Francesco Sottile , Valerio Olevano , Rodolfo Del Sole , Lucia Reining

We develop a general technique for computing functional integrals with fixed area and boundary length constraints. The correct quantum dimensions for the vertex functions are recovered by properly regularizing the Green function. Explicit…

High Energy Physics - Theory · Physics 2009-11-11 Pietro Menotti , Erik Tonni

According to literature, while calculating the brightness of synchrotron radiation from wigglers, one needs to account for the so called `depth-of-field' effects. In fact, the particle beam cross section varies along the wiggler. It is…

Accelerator Physics · Physics 2014-12-20 Gianluca Geloni , Vitali Kocharyan , Evgeni Saldin

It has been conjectured that the relative phase between strong and electromagnetic amplitudes is universally $-90^{\circ}$ in charmonium decays. $\psi^{\prime}$ decaying into pseudoscalar pair provides a possibility to test this conjecture.…

High Energy Physics - Phenomenology · Physics 2011-05-18 Wang Bo-Qun , Mo Xiao-Hu , Wang Ping , Ban Yong

We consider a synchrotron radiation from a charged particle moving in a bound orbit around a weakly magnetized Schwarzschild black hole (a static black hole immersed into a constant uniform magnetic field) in its equatorial plane,…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Andrey A. Shoom

Motivated by large intelligent surface applications, the electric field properties of near field focusing using phase conjugation method are analyzed for cylindrical dipole arrays. Firstly, for the transmitting antennas featuring vertical…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Jiawang Li

Three-dimensional (3D) metals/semimetals under magnetic field have an instability toward a density wave (DW) ordering which breaks a translational symmetry along the field direction. Effective boson models for the DW phases take forms of XY…

Strongly Correlated Electrons · Physics 2017-05-10 Xiao-Tian Zhang , Ryuichi Shindou

Spin dependencies of the intensity and polarization of the synchrotron radiation of the longitudinally polarized particle performing uniform circular motion in the magnetic field are investigated.

Accelerator Physics · Physics 2007-05-23 G. V. Grigoryan , R. P. Grigoryan

We present first-principles approaches based on density functional theory for calculating positron states and annihilation characteristics in condensed matter. The treatment of the electron-positron correlation effects (the enhancement of…

Materials Science · Physics 2007-05-23 B. Barbiellini , M. Hakala , R. M. Nieminen , M. J. Puska

Quantum effects for electrons in a storage ring are studied in a co-moving, accelerated frame. The polarization effect due to spin flip synchrotron radiation is examined by treating the electron as a simple quantum mechanical two-level…

High Energy Physics - Theory · Physics 2007-05-23 Jon Magne Leinaas

Radiative corrections to an atom are calculated near a half-space that has arbitrarily-shaped small depositions upon its surface. The method is based on calculation of the classical Green's function of the macroscopic Maxwell equations near…

Quantum Physics · Physics 2015-08-19 Robert Bennett

Computation of electromagnetic fields due to point sources (Hertzian dipoles) in cylindrically stratified media is a classical problem for which analytical expressions of the associated tensor Green's function have been long known. However,…

Mathematical Physics · Physics 2014-05-30 H. Moon , F. L. Teixeira , B. Donderici

We present a construction of a mean-field theory for thermodynamic and spectral properties of correlated electrons reliable in the strong-coupling limit. We introduce an effective interaction determined self-consistently from the reduced…

Strongly Correlated Electrons · Physics 2017-04-19 Václav Janiš , Vladislav Pokorný , Anna Kauch

Electron wavefunctions in twisted bilayer graphene may have a strong single layer character or be intrinsically delocalized between layers, with their nature often determined by how energetically close they are to the Dirac point. In this…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 Chi-Ken Lu , H. A. Fertig

The time evolution of the coherent forward scattering of Synchrotron radiation for resonant nuclei in Brownian motion is studied . Apart from target thickness, the appearance of dynamical beats also depends on $\alpha$ which is the ratio of…

Condensed Matter · Physics 2007-05-23 Ashok Razdan

We demonstrate that the exact solution for the spectrum of synchrotron radiation from an isotropic population of mono-energetic electrons in turbulent magnetic field with Gaussian distribution of local field strengths can be expressed in…

High Energy Astrophysical Phenomena · Physics 2020-03-02 Evgeny Derishev , Felix Aharonian

In non-relativistic Brueckner calculations of nuclear matter, the self-consistent single particle potential is strongly momentum dependent. To simplify the calculations, a parabolic approximation is often used in the literature. The…

Nuclear Theory · Physics 2009-11-06 M. Baldo , A. Fiasconaro