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Feynman's path integral approach is studied in the framework of the Wigner-Dunkl deformation of quantum mechanics. We start with reviewing some basics from Dunkl theory and investigate the time evolution of a Gaussian wave packet, which…

Mathematical Physics · Physics 2024-01-30 Georg Junker

We present here a detailed derivation of an explicit spin-dependent expression for the bending angle of light as it traverses in the equatorial plane of a spinning black hole. We show that the deflection produced in the presence of the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Savitri V. Iyer , Edward C. Hansen

A path integral formulation is developed to study the spectrum of radiation from a perfectly reflecting (conducting) surface. It allows us to study arbitrary deformations in space and time. The spectrum is calculated to second order in the…

Quantum Physics · Physics 2009-10-31 Faez Miri , Ramin Golestanian

In this paper, working in the eikonal approximation, we present a proof for the exponentiation of the 2-body eikonal phase to {\it all orders in the eikonal expansion}, for scalar particles interacting electromagnetically or…

High Energy Physics - Theory · Physics 2025-05-06 Yuchen Du , Siddarth Ajith , Ravisankar Rajagopal , Diana Vaman

We develop a formulation of the strong deflection limit for the scattering of particles following timelike geodesics in asymptotically flat, static, and spherically symmetric spacetimes. For fixed specific energy, as the angular momentum…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Takahisa Igata , Yohsuke Takamori

Conventional scattering theory is incomplete in that it does not adequately describe the behaviour of the wave function at macroscopic distances from the scattering reaction volume. In scattering experiments particles are incident from…

Quantum Physics · Physics 2021-10-05 John S. Briggs , James M. Feagin

Inspired by the problem of Planckian scattering we describe a classical effective field theory for weak ultra relativistic scattering in which field propagation is instantaneous and transverse and the particles' equations of motion localize…

High Energy Physics - Theory · Physics 2011-08-08 Barak Kol

Is it possible to find imprints of a black hole ringdown through gravitational lensing? To address this question, we formulate an analytic description of weak-field and strong-deflection lensing of light in a time-dependent, perturbed…

High Energy Physics - Theory · Physics 2026-02-13 Reggie C. Pantig

By the newly developed technique of integration within an ordered product (IWOP) of operators, we explore quantum optical version of classical optical transformations such as optical Fresnel transform, Hankel transform, fractional Fourier…

Quantum Physics · Physics 2015-03-17 Hong-yi Fan , Li-yun Hu

We calculate the resonance fluorescence signal of a two-level system coupled to a quantized phonon mode. By treating the phonons in the independent boson model and not performing any approximations in their description, we also have access…

Mesoscale and Nanoscale Physics · Physics 2022-02-22 Thilo Hahn , Daniel Groll , Hubert J. Krenner , Tilmann Kuhn , Paweł Machnikowski , Daniel Wigger

The fact that the gravitation could deflect the light trajectory has been confirmed by a large number of observation data, that is consistent with the result calculated by Einstein's gravity. F(R)-gravity is the modification of Einstein's…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Long Huang , Feng He , Hai Huang , Min Yao

We propose a perturbative method to compute the deflection angle of both null and massive particles for source and detector at finite distance. This method applies universally to the motion of particles with general velocity in the…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Ke Huang , Junji Jia

A simple mapping procedure is presented by which classical orbits and path integrals for the motion of a point particle in flat space can be transformed directly into those in curved space with torsion. Our procedure evolved from…

Quantum Physics · Physics 2008-02-03 H. Kleinert

Entanglement and quantum correlations are central to the physics of quantum materials, yet they have remained notoriously difficult to probe experimentally. Probing these phenomena in solids requires quantum optical probes that operate at…

We investigate the Wigner rotation for photons, which governs the change in the polarization of the photon as it propagates through an arbitrary gravitational field. We give explicit examples in Schwarzschild spacetime, and compare with the…

Quantum Physics · Physics 2009-02-10 P. M. Alsing , G. J. Stephenson

By using a method improved with a generalized optical metric, the deflection of light for an observer and source at finite distance from a lens object in a stationary, axisymmetric and asymptotically flat spacetime has been recently…

General Relativity and Quantum Cosmology · Physics 2019-07-08 Toshiaki Ono , Asahi Ishihara , Hideki Asada

Previously a set of coupled first order differential equations were derived for the decoherence of a pair of spatial mode entangled photons, propagating along different paths through turbulence. Here we extend this analysis to the situation…

Optics · Physics 2011-10-18 Filippus S. Roux

We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the $\mathcal{N}=1$ supersymmetric model to a Yang-Mills background to describe the propagation of a…

High Energy Physics - Theory · Physics 2023-04-11 Francesco Comberiati , Canxin Shi

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

We discuss a possible extension of calculations of the bending angle of light in a static, spherically symmetric and asymptotically flat spacetime to a non-asymptotically flat case. We examine a relation between the bending angle of light…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Takao Kitamura , Hideki Asada