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A classical approximation to time dependent quantum mechanical scattering in the M\o{}ller formalism is presented. Numerically, our approach is similar to a standard Classical-Trajectory-Monte-Carlo calculation. Conceptually, however, our…

Atomic Physics · Physics 2009-11-06 Tihamer Geyer , Jan M Rost

Classical soft graviton theorem gives the gravitational wave-form at future null infinity at late retarded time $u$ for a general classical scattering. The large $u$ expansion has three known universal terms: the constant term, the term…

High Energy Physics - Theory · Physics 2022-02-02 Biswajit Sahoo , Ashoke Sen

We develop a novel framework for describing quantum fluctuations in field theory, with a focus on cosmological applications. Our method uniquely circumvents the use of operator/Hilbert-space formalism, instead relying on a systematic…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Ding Ding , Zhao Yu , Yidun Wan

We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM) and derive expression for the wave function, the phase shifts, as well as the optical theorem for…

Quantum Physics · Physics 2021-03-03 Sergio Giardino

We develop a probability-level, manifestly causal formalism for calculations in QFT. The approach involves an implicit summation over final states, which makes causality manifest since retarded propagators emerge naturally. This inclusive…

High Energy Physics - Theory · Physics 2025-12-24 Ross Jenkinson

The derivation of a quantum Markovian model for an opto-mechanical system consisting of a quantum mechanical mirror interacting with quantum optical input fields via radiation pressure is difficult problem which ultimately involves the…

Quantum Physics · Physics 2015-01-14 John E. Gough

In a preceding paper we introduced a formalism to study the scattering of low intensity fields from a system of multi-level emitters embedded in a $3$D dielectric medium. Here we show how this photon-scattering relation can be used to…

Quantum Physics · Physics 2018-04-25 Sumanta Das , Vincent E. Elfving , Florentin Reiter , Anders S. Sørensen

For the coupled system of classical Maxwell-Lorentz equations we show that the quantities \begin{equation*} \mathfrak{F}(\hat x, t)=\lim_{|x|\to \infty} |x|^2 F(x,t), \quad \mathcal{F}(\hat k, t)=\lim_{|k|\to 0} |k| \widehat{F}(k,t),…

Mathematical Physics · Physics 2021-04-23 Wojciech Dybalski , Duc Viet Hoang

We formulate a general method for perturbative evaluations of statistics of smoothed cosmic fields, and provide useful formulas in application of the perturbation theory to various statistics. This formalism is an extensive generalization…

Astrophysics · Physics 2007-05-23 Takahiko Matsubara

We introduce a way to compute scattering amplitudes in quantum field theory including the effects of particle production and detection. Our amplitudes are manifestly causal, by which we mean that the source and detector are always linked by…

High Energy Physics - Theory · Physics 2014-06-17 Robert Dickinson , Jeff Forshaw , Peter Millington , Brian Cox

The investigation of relativistic effects in the most general way requires a unified treatment of light propagation in cosmology. This goal can be achieved with the new interpretation of the geodesic deviation equation in terms of the…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Michele Grasso

In a general line with our first work (Ann.Phys.302(2002),172; hep-ph/0207316), within hard thermal loop approximation a general theory of the scattering for an arbitrary number of colorless plasmons off hard thermal particles of hot…

High Energy Physics - Phenomenology · Physics 2015-06-25 Y. A. Markov , M. A. Markova , A. N. Vall

We consider gravitational massive scalar-scalar scattering from unitarity and demonstrate how intermediate soft graviton behavior and the concept of extracting classical physics from localization of integrands on velocity cuts devise an…

High Energy Physics - Theory · Physics 2022-03-30 N. E. J. Bjerrum-Bohr , L. Plante , P. Vanhove

Theoretical approaches to QED scattering in strong fields typically treat the field as a fixed background with simple spacetime dependence, such as a plane wave. Two major challenges are therefore the inclusion of backreaction (e.g.…

High Energy Physics - Phenomenology · Physics 2025-06-17 Tim Adamo , Anton Ilderton

We develop a statistical theory that describes quantum-mechanical scattering of a particle by a cavity when the geometry is such that the classical dynamics is chaotic. This picture is relevant to a variety of physical systems, ranging from…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Pier A. Mello , Victor A. Gopar , J. A. Mendez-Bermudez

We introduce a framework for simulating quantum optics by decomposing the system into a finite rank (number of terms) superposition of coherent states. This allows us to define a resource theory, where linear optical operations are 'free'…

Quantum Physics · Physics 2023-12-19 Jeffrey Marshall , Namit Anand

Factorization is the central ingredient in any theoretical prediction for collider experiments. We introduce a factorization formalism that can be applied to any desired observable, like event shapes or jet observables, for any number of…

High Energy Physics - Phenomenology · Physics 2009-11-18 Christian W. Bauer , Andrew Hornig , Frank J. Tackmann

We describe the quantum mechanical scattering of slowly moving maximally charged black holes. Our technique is to develop a canonical quantization procedure on the parameter space of possible static classical solutions. With this, we…

High Energy Physics - Theory · Physics 2011-04-20 Jennie Traschen , Robert Ferrel

High energy diffraction and soft QCD span exciting final state topologies and fluctuations which have not yet been measured or characterized in a fully exhaustive way. In this work, we go beyond the standard measures and formulate a new…

High Energy Physics - Phenomenology · Physics 2019-10-16 Mikael Mieskolainen

Following a recent proposal to describe inelastic eikonal scattering processes in terms of gravitationally dressed elastic eikonal amplitudes, we motivate a collinear double graviton dressing and investigate its properties. This is derived…

High Energy Physics - Theory · Physics 2025-04-16 Karan Fernandes , Feng-Li Lin