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We present a time-dependent extension of logarithmic perturbation theory for nonrelativistic quantum dynamics governed by the Schr\"odinger equation, in which the logarithm of the wave function is expanded in powers of a coupling constant.…

Quantum Physics · Physics 2026-04-17 Juan Carlos del Valle , Paul Bergold , Karolina Kropielnicka

In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb potential in its second step. The above-threshold…

chao-dyn · Physics 2007-05-23 Jie Liu , Shi-Gang Chen , Bambi Hu

The explicit semiclassical treatment of logarithmic perturbation theory for the bound-state problem within the framework of the radial Klein-Gordon equation with attractive real-analytic screened Coulomb potentials, contained time-component…

Quantum Physics · Physics 2007-05-23 I. V. Dobrovolska , R. S. Tutik

Diffusion in heterogeneous energy and diffusivity landscapes is widespread in biological systems. However, solving the Langevin equation in such environments introduces ambiguity due to the interpretation parameter $\alpha$, which depends…

Statistical Mechanics · Physics 2025-05-20 Adrian Pacheco-Pozo , Igor M. Sokolov , Ralf Metzler , Diego Krapf

Motivated by recent experiments on radiative recombination of two-dimensional electrons in acceptor doped GaAs-AlGaAs heterojunctions as well as the success of a harmonic solid model in describing tunneling between two-dimensional electron…

Strongly Correlated Electrons · Physics 2016-08-31 S. Kodiyalam , H. A. Fertig , S. Das Sarma

A rigorous evaluation of the Landau-Pomeranchuk-Migdal effect for finite-size targets is performed within the path integral approach previously developed in ref. [4]. The bremsstrahlung rate in QED is expressed through a solution of a…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. G. Zakharov

We develop a quantum reductive perturbation method (RPM), a generalization of classical RPM widely used in nonlinear wave theory, to derive a simplified model (i.e. quantum nonlinear Schrodinger equation) from fully quantum…

Quantum Physics · Physics 2024-06-13 Ou Yao , Huang Guoxiang

The cross section for coherent pair production by linearly polarised photons in the 20-170 GeV energy range was measured for photon aligned incidence on ultra-high quality diamond and germanium crystals. The theoretical description of…

We present a high order perturbation approach to quantitatively calculate spectral densities in three distinct steps starting from the model Hamiltonian and the observables of interest. The approach is based on the perturbative continuous…

Strongly Correlated Electrons · Physics 2009-11-10 Christian Knetter , Kai P. Schmidt , Götz S. Uhrig

We present a novel ab-initio single-electron approach to correlated electron dynamics in strong laser fields. By writing the electronic wavefunction as a product of a marginal one-electron wavefunction and a conditional wavefunction, we…

Atomic Physics · Physics 2016-02-02 Axel Schild , E. K. U. Gross

We consider a Ginzburg-Landau partial differential equation in a bounded interval, perturbed by weak spatio-temporal noise. As the interval length increases, a transition between activation regimes occurs, in which the classical Kramers…

Probability · Mathematics 2009-01-09 Nils Berglund , Barbara Gentz

To probe the nonlinear effects of photon-photon interaction in the quantum electrodynamics, we study the generation of circular polarized photons by the collision of two linearly polarized laser beams. In the framework of the…

Optics · Physics 2015-09-09 Rohoollah Mohammadi , Iman Motie , She-Sheng Xue

Using ultrashort laser pulses, it has become possible to probe the dynamics of long-range order in solids on microscopic timescales. In the conventional description of symmetry-broken phases within time-dependent Ginzburg-Landau theory, the…

Strongly Correlated Electrons · Physics 2023-06-08 Antonio Picano , Francesco Grandi , Martin Eckstein

We develop a novel method for strong-laser-field physics based on the combination of the semiclassical Herman-Kluk propagator and the strong-field approximation and demonstrate its high accuracy on the calculations of photoelectron momentum…

Atomic Physics · Physics 2024-08-26 Phi-Hung Tran , Van-Hung Hoang , Anh-Thu Le

We provide a nonperturbative theory for photoionization of transparent solids. By applying a particular steepest-descent method, we derive analytical expressions for the photoionization rate within the two-band structure model, which…

Materials Science · Physics 2017-12-20 N. S. Shcheblanov , M. E. Povarnitsyn , P. N. Terekhin , S. Guizard , A. Couairon

We present a perturbative approach to the study of the Hofstadter model for when the amount of flux per plaquette is close to a rational fraction. Within this approximation certain eigenstates of the system are shown to be multi-component…

Strongly Correlated Electrons · Physics 2014-08-19 Fenner Harper , Steven H. Simon , Rahul Roy

We consider electron-atom scattering in a circularly polarized laser field at sufficiently high electron energies, permitting to describe the scattering process by the first order Born approximation. Assuming the radiation field has…

Atomic Physics · Physics 2013-03-07 Aurelia Cionga , Fritz Ehlotzky , Gabriela Zloh

A new pathway of strong laser field induced ionization of an atom is identified which is based on recollisions under the tunneling barrier. With an amended strong field approximation, the interference of the direct and the under-the-barrier…

Atomic Physics · Physics 2018-01-10 Michael Klaiber , Karen Z. Hatsagortsyan , Christoph H. Keitel

We develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy ratio and the deviation of metric functions from a given form,…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Kirill Kobialko , Dmitri Gal'tsov

The electron-positron pair production in the collision of two intense gamma lasers is studied beyond the dipole approximation. The complete electron/positron momentum spectrum obtained by three-dimensional computation shows directly the…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Zhaoyang Peng , Huayu Hu , Jianmin Yuan
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