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The observations of gravitational-wave signals from astrophysical sources such as binary inspirals will be used to test General Relativity for self consistency and against alternative theories of gravity. I describe a simple formula that…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Michele Vallisneri

Combining the effect of an intermediate renormalization prescription (zero momentum subtraction) and the background field method (BFM), we show that the algebraic renormalization procedure needed for the computation of radiative corrections…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. A. Grassi , T. Hurth , M. Steinhauser

Bargmann-Wigner equations are formulated to represent bosonic fields in terms of fermionic fields in curved spacetime. The superradiance phenomena of bosons and fermions in rotating black hole spacetime are studied in the Bargmann-Wigner…

General Relativity and Quantum Cosmology · Physics 2012-08-31 Masakatsu Kenmoku

This paper represents a continuation of our previous work, where the Bolzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories. Here, we focus…

High Energy Physics - Theory · Physics 2024-09-10 Vladimir Belavin , Doron Gepner , Juan Ramos Cabezas , Boris Runov

We describe the relativistic interacting quark-diquark model formalism and its application to the calculation of strange and nonstrange baryon spectra. The results are compared to the existing experimental data. We also discuss the…

High Energy Physics - Phenomenology · Physics 2018-01-03 M. De Sanctis , J. Ferretti , R. Magaña Vsevolodovna , P. Saracco , E. Santopinto

The phase-space representation for a relativistic linear oscillator in a homogeneous external field expressed through the finite-difference equation is constructed. Explicit expressions of the relativistic oscillator Wigner…

Mathematical Physics · Physics 2009-10-27 S. M. Nagiyev , G. H. Guliyeva , E. I. Jafarov

We show that equation for radial wave function in its traditional form is compatible with the full Schrodinger equation if and only if a definite additional constraint required. This constraint has a boundary condition form at the origin.…

Mathematical Physics · Physics 2010-10-05 Anzor A. Khelashvili , Teimuraz P. Nadareishvili

Discussion of apparently simple issues related to the resonance close to threshold may lead to misleading results. We clarify some subtle points, in particular the relation between Breit-Wigner and effective range approaches to the f_0-a_0…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Kerbikov

In this survey, our aim is to emphasize the main known limitations to the use of Wigner measures for Schrodinger equations. After a short review of successful applications of Wigner measures to study the semi-classical limit of solutions to…

Analysis of PDEs · Mathematics 2009-02-02 Rémi Carles , Clotilde Fermanian Kammerer , Norbert Mauser , Hans Peter Stimming

Equations for the neutron reflection amplitude from a magnetic non-collinear wave resonator (NWR) are obtained. It is shown that resonances of the same reflection order of neutrons experiencing spin-flip (spin-flip neutrons) appear in…

Instrumentation and Detectors · Physics 2011-04-07 Yu. N. Khaydukov , Yu. V. Nikitenko

We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Donato Bini , Giorgio Di Russo

The knowledge of receiver beam shapes is essential for accurate radio interferometric imaging. Traditionally, this information is obtained by holographic techniques or by numerical simulation. However, such methods are not feasible for an…

Instrumentation and Methods for Astrophysics · Physics 2013-07-19 Sarod Yatawatta

The standard expression for the Wigner rotation leads to incorrect result for the wavefront rotation. The results for the Wigner rotation in the Lorentz lab frame obtained by many experts on special relativity such as Moeller and Jackson,…

Accelerator Physics · Physics 2019-03-19 Evgeni Saldin

The conventional Wigner function is inappropriate in a quantum field theory setting because, as a quasiprobability density over phase space, it is not manifestly Lorentz covariant. A manifestly relativistic variant is constructed as a…

Quantum Physics · Physics 2007-05-23 Peter Morgan

We review the method for constructing local relativistic fields corresponding to the Bargmann-Wigner wave functions that describe the unitary irreducible representations of the $4D$ Poincar\'{e} group. The method is based on the use of the…

High Energy Physics - Theory · Physics 2024-01-02 I. L. Buchbinder , S. A. Fedoruk , A. P. Isaev , M. A. Podoinitsyn

The importance of the energy spectrum of bound states and their restrictions in quantum mechanics due to the different methods have been used for calculating and determining the limit of them. Comparison of Schrodinger-like equation…

Quantum Physics · Physics 2018-07-09 Zahra Bakhshi

The Wigner Transform (WT) has been extensively used in the formulation of phase-space models for a variety of wave propagation problems including high-frequency limits, nonlinear and random waves. It is well known that the WT features…

Analysis of PDEs · Mathematics 2015-05-19 Agissilaos G. Athanassoulis

For systems of unstable particles that mix with each other, an approximation of the fully momentum-dependent propagator matrix is presented in terms of a sum of simple Breit-Wigner propagators that are multiplied with finite on-shell wave…

High Energy Physics - Phenomenology · Physics 2017-10-25 Elina Fuchs , Georg Weiglein

Accurate results for nonrelativistic energy, relativistic, QED, and finite nuclear mass corrections are obtained for $2^1S_{1/2}$, $3^1S_{1/2}$ and $2^1P_{1/2}$ states of the Li atom and Be$^+$ ion. Our computational approach uses the…

Atomic Physics · Physics 2009-11-13 Mariusz Puchalski , Krzysztof Pachucki

A model-independent method for the determination of Breit-Wigner resonance parameters is presented. The method is based on eliminating the dependence on the choice of channel basis by analyzing the trace of the K and T matrices in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Ceci , A. Svarc , B. Zauner , M. Manley , S. Capstick