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Classical and quantum perturbations can be described in terms of marginal distribution functions in the framework of tomographic cosmology. In particular, the so called Radon transformation and the mode-parametric quantum oscillator…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. Capozziello , V. I. Man'ko , G. Marmo , C. Stornaiolo

We review various semiclassical models for strong-field physics. These semiclassical models employ ensembles of classical trajectories to simulate electron motion in the continuum after being released from an atom or molecule by an external…

Atomic Physics · Physics 2025-10-16 Nikolay Shvetsov-Shilovski

The method has been developed to calculate effects of polarization not only for a atomic core in a field of valent electron, but also polarization of atom as a whole in the electron-hole formalism. A secondary quantized density matrix for…

Quantum Physics · Physics 2007-05-23 Halina V. Grushevskaya , Leonid I. Gurskii

The numerical treatment of quantum mechanics in the semi-classical regime is known to be computationally demanding, due to the highly oscillatory behaviour of the wave function and its large spatial extension. A recently proposed…

Quantum Physics · Physics 2024-02-13 Christoph Nölle

A new method for finding electronic structure and wavefunctions of electrons in quasiperiodic potential is introduced. To obtain results it uses slightly modified Schrodinger equation in spaces of dimensionality higher than physical space.…

Other Condensed Matter · Physics 2014-10-03 Igor V. Blinov

We analyze strong field atomic dynamics semiclassically, based on a full time-dependent description with the Hermann-Kluk propagator. From the properties of the exact classical trajectories, in particular the accumulation of action in time,…

Atomic Physics · Physics 2009-11-06 Gerd van de Sand , Jan M Rost

We construct a class of systems for which quantum dynamics can be expanded around a mean field approximation with essentially classical content. The modulus of the quantum overlap of mean field states naturally introduces a classical…

We use a semiclassical approach to study out of equilibrium dynamics and transport in quantum systems with massive quasiparticle excitations having internal quantum numbers. In the universal limit of low energy quasiparticles, the system is…

Statistical Mechanics · Physics 2019-03-20 Márton Kormos , Catalin Pascu Moca , Gergely Zaránd

The basic idea of a microscopic understanding of Thermodynamics is to derive its main features from a microscopic probability distribution. In such a vein, we investigate the thermal statistics of quasi-probabilities's semi-classical…

Statistical Mechanics · Physics 2016-09-20 F. Pennini , A. Plastino , M. C. Rocca

Scattering in central attractive potentials is investigated systematically, in the limit of strong interaction, when large-angles scattering dominates. In particular, three important model interactions (Lennard-Jones, Yukawa, and…

Chemical Physics · Physics 2014-04-18 Sergey Khrapak

We implement a full nonlinear optimization method to fit continuum states with complex Gaussians. The application to a set of regular scattering Coulomb functions allows us to validate the numerical feasibility, to explore the range of…

Computational Physics · Physics 2020-08-28 Abdallah Ammar , Arnaud Leclerc , Lorenzo Ugo Ancarani

An analysis of classical mechanics in a complex extension of phase space shows that a particle in such a space can behave in a way redolant of quantum mechanics; additional degrees of freedom permit 'tunnelling' without recourse to…

Quantum Physics · Physics 2012-02-21 Ray J. Rivers

Coulomb corrections for quasi-elastic scattering of electrons by nuclei are calculated using eikonal distorted waves. Corrections to the lowest-order eikonal approximation are included in order to obtain accurate results. Spin-dependent…

Nuclear Theory · Physics 2008-11-26 J. A. Tjon , S. J. Wallace

We extend the Worldline Monte Carlo approach to computationally simulating the Feynman path integral of non-relativistic multi-particle quantum-mechanical systems. We show how to generate an arbitrary number of worldlines distributed…

In this work, we proposed a smooth transition wave equation from a quantum to classical regime in the framework of von Neumann formalism for ensembles and then obtained an equivalent scaled equation. This led us to develop a scaled…

Quantum Physics · Physics 2023-06-05 S. V. Mousavi , S. Miret-Artés

We describe a computational investigation of tunneling at finite energy in a weakly coupled quantum mechanical system with two degrees of freedom. We compare a full quantum mechanical analysis to the results obtained by making use of a…

High Energy Physics - Phenomenology · Physics 2016-08-25 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

We use a semiclassical approximation to derive the partition function for an arbitrary potential in one-dimensional Quantum Statistical Mechanics, which we view as an example of finite temperature scalar Field Theory at a point. We rely on…

Quantum Physics · Physics 2009-10-31 C. A. A. de Carvalho , R. M. Cavalcanti

In quantum electrodynamics a classical part of the S-matrix is normally factored out in order to obtain a quantum remainder that can be treated perturbatively without the occurrence of infrared divergences. However, this separation, as…

Quantum Physics · Physics 2014-11-18 Henry P. Stapp

A rigorous light-front formalism for electron deep inelastic scattering on unpolarized nuclei, in Bjorken limit, is reported. It preserves Poincar\'e covariance, macroscopic locality, both number of particles and momentum sum rules. The…

Nuclear Theory · Physics 2023-03-22 Emanuele Pace , Matteo Rinaldi , Giovanni Salme` , Sergio Scopetta

When placed in parallel magnetic and electric fields, the electron trajectories of a classical hydrogen atom are chaotic. The classical escape rate of such a system can be computed with classical trajectory Monte Carlo techniques, but these…

Chaotic Dynamics · Physics 2025-03-21 Ethan T. Custodio , Sulimon Sattari , Kevin A. Mitchell