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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

In this initial paper in a series, we first discuss why classical motions of small particles should be treated statistically. Then we show that any attempted statistical description of any nonrelativistic classical system inevitably yields…

Quantum Physics · Physics 2014-09-22 G. H. Goedecke

We introduce the semiclassical Wehrl entropy for the nucleon as a measure of complexity of the multiparton configuration in phase space. This gives a new perspective on the nucleon tomography. We evaluate the entropy in the small-$x$ region…

High Energy Physics - Phenomenology · Physics 2018-06-06 Yoshikazu Hagiwara , Yoshitaka Hatta , Bo-Wen Xiao , Feng Yuan

An alternative methodology to investigate indirect polyatomic processes with quasi-classical trajectories is proposed, which effectively avoids any binning or weighting procedure while provides rovibrational resolution. Initial classical…

We consider the classical map proposed previously to be the exact classical analogue of Rydberg Molecules calculated with the approximations relevant to the multi-channel quantum defect theory. The resulting classical map is analyzed at…

Chaotic Dynamics · Physics 2009-10-31 F. Leyvraz , M. Lombardi , T. H. Seligman

More than twenty years have passed since the threads of the `proper time formalism' in covariant classical and quantum mechanics were brought together to construct a canonical formalism for the relativistic mechanics of many particles.…

High Energy Physics - Theory · Physics 2016-09-06 M. C. Land , L. P. Horwitz

Some connections between quantum mechanics and classical physics are explored. The Planck-Einstein and De Broglie relations, the wavefunction and its probabilistic interpretation, the Canonical Commutation Relations and the Maxwell--Lorentz…

Classical Physics · Physics 2009-11-10 J. H. Field

Recollision processes are fundamental to strong-field physics and attoscience, thus models connecting recolliding trajectories to quantum amplitudes are a crucial part in furthering understanding of these processes. We report developments…

Atomic Physics · Physics 2023-11-06 Mads Brøndum Carlsen , Emil Hansen , Lars Bojer Madsen , Andrew Stephen Maxwell

Statistics of classical Hamiltonian random walk of particle colliding with atoms of ideal gas is considered from viewpoint of earlier suggested exact pseudo-quantum path integral representation of the problem, and qualitative agreement is…

Statistical Mechanics · Physics 2013-11-14 Yu. E. Kuzovlev

We propose a system of equations to describe the interaction of a quasiclassical variable $X$ with a set of quantum variables $x$ that goes beyond the usual mean field approximation. The idea is to regard the quantum system as continuously…

Quantum Physics · Physics 2009-10-30 L. Diosi , J. J. Halliwell

This article presents a review of the field of inclusive quasi-elastic electron-nucleus scattering. It discusses the approach used to measure the data and includes a compilation of data available in numerical form. The theoretical…

Nuclear Experiment · Physics 2008-11-26 Omar Benhar , Donal day , Ingo Sick

A quantum model based on a Euler-Lagrange variational approach is proposed. In analogy with the classical transport, our approach maintain the description of the particle motion in terms of trajectories in a configuration space. Our method…

Mathematical Physics · Physics 2018-07-04 O. Morandi

An overview of the current theoretical studies on neutrino-atom scattering processes is presented. The ionization channel of these processes, which is studied in experiments searching for neutrino magnetic moments, is brought into focus.…

High Energy Physics - Phenomenology · Physics 2014-12-04 Konstantin A. Kouzakov , Alexander I. Studenikin

A well known example in quantum electrodynamics (QED) shows that Coulomb scattering of unpolarized electrons, calculated to lowest order in perturbation theory, yields a results that exactly coincides (in the non-relativistic limit) with…

Quantum Physics · Physics 2009-06-11 Gabriela Murguia , Matias Moreno , Manuel Torres

In this first of a series of four articles, it is shown how a hamiltonian quantum dynamics can be formulated based on a generalization of classical probability theory using the notion of quasi-invariant measures on the classical phase space…

High Energy Physics - Theory · Physics 2008-08-13 S. Maxson

We inspect the first-order electron-electron capture scenario for transfer ionization that has been recently formulated by Voitkiv et al. (Phys. Rev. A 86, 012709 (2012) and references therein). Using the multichannel scattering theory for…

Atomic Physics · Physics 2015-06-15 Yu. V. Popov , V. L. Shablov , K. A. Kouzakov , A. G. Galstyan

Following the formalism of Gell-Mann and Hartle, phenomenological equations of motion are derived from the decoherence functional formalism of quantum mechanics, using a path-integral description. This is done explicitly for the case of a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Todd A. Brun

The quantum normal form approach to quantum transition state theory is used to compute the cumulative reaction probability for collinear exchange reactions. It is shown that for heavy atom systems like the nitrogen exchange reaction the…

Chemical Physics · Physics 2010-03-17 Arseni Goussev , Roman Schubert , Holger Waalkens , Stephen Wiggins

We developed a general theoretical approach and a user-ready computer code that permit to study the dynamics of collisional energy transfer and ro-vibrational energy exchange in complex molecule-molecule collisions. The method is a mixture…

Chemical Physics · Physics 2024-02-06 Carolin Joy , Bikramaditya Mandal , Dulat Bostan , Marie-Lise Dubernet , Dmitri Babikov

Recently the general form of a translation-covariant quantum Boltzmann equation has been derived which describes the dynamics of a tracer particle in a quantum gas. We develop a stochastic wave function algorithm that enables full…

Quantum Physics · Physics 2007-09-24 Heinz-Peter Breuer , Bassano Vacchini