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The first well founded perturbation theory for classical solid systems is presented. Theoretical approaches to thermodynamic and structural properties of the hard-sphere solid provide us with the reference system. The traditional…

Condensed Matter · Physics 2009-10-28 C. Rascon , L. Mederos , G. Navascues

The use of bichromatic counter-rotating laser field is known to generate high-order harmonics with non-zero ellipticity. By combining such laser field with a plasmonic-enhanced spatially inhomogeneous field, we propose a way to influence…

The interference between Compton scattering and nonlinear Compton scattering from a two-color field in the X-ray regime is theoretically examined for bound electrons. The underlying phase shifts are analysed using a perturbative approach in…

Atomic Physics · Physics 2021-01-27 Akilesh Venkatesh , F. Robicheaux

We determine the quantum ground state of dipolar bosons in a quasi-one-dimensional optical lattice and interacting via $s$-wave scattering. The Hamiltonian is an extended Bose-Hubbard model which includes hopping terms due to the…

Quantum Gases · Physics 2020-05-14 Rebecca Kraus , Krzysztof Biedroń , Jakub Zakrzewski , Giovanna Morigi

Accurate modelling is necessary to support precision experiments investigating strong-field QED phenomena. This modelling is particularly challenging in the transition between the perturbative and nonperturbative regimes, where the…

High Energy Physics - Phenomenology · Physics 2023-09-21 T. G. Blackburn , B. King , S. Tang

High-harmonic generation from hydrogenlike muonic atoms exposed to ultraintense high-frequency laser fields is calculated. Systems of low nuclear charge number Z are considered where a nonrelativistic description applies. By comparing the…

Atomic Physics · Physics 2015-05-18 Atif Shahbaz , Thomas J. Buervenich , Carsten Müller

We investigate quantum electrodynamic effects under the influence of an external, time-dependent electromagnetic field, which mediates dynamic modifications of the radiative corrections. Specifically, we consider the quantum electrodynamic…

Atomic Physics · Physics 2013-09-10 A. I. Milstein , I. S. Terekhov , U. D. Jentschura , C. H. Keitel

The transfer Hamiltonian tunneling current is derived in a time-dependent density matrix formulation and is used to examine photon-assisted tunneling. Bardeen's tunneling expression arises as the result of first order perturbation theory in…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Paul S. Davids , Joshua Shank

We present a perturbation analysis of the semiclassical Wigner equation which is based on the interplay between configuration and phase spaces via Wigner transform. We employ the so-called harmonic approximation of the Schrodinger…

Mathematical Physics · Physics 2016-11-25 E. K. Kalligiannaki , G. N. Makrakis

The explicit semiclassical treatment of the logarithmic perturbation theory for the bound-state problem for the spherical anharmonic oscillator and the screened Coulomb potential is developed. Based upon the $\hbar$-expansions and suitable…

Mathematical Physics · Physics 2007-12-13 I. V. Dobrovolska , R. S. Tutik

We study Delbr\"uck scattering in a Coulomb field in the presence of a laser field. The amplitudes are calculated in the Born approximation with respect to the Coulomb field and exactly in the parameters of the laser field having arbitrary…

Atomic Physics · Physics 2008-04-03 A. Di Piazza , A. I. Milstein

Perturbation theory in quantum mechanics studies how quantum systems interact with their environmental perturbations. Harmonic perturbation is a rare special case of time-dependent perturbations in which exact analysis exists. Some…

Quantum Physics · Physics 2008-01-01 Jie-Hong R. Jiang , Dah-Wei Chiou , Cheng-En Wu

We study the Cooper minimum in high harmonic generation from argon atoms using long wavelength laser pulses. We find that the minimum in high harmonic spectra is systematically shifted with respect to total photoionization cross section…

Solutions of semi-classical Schrodinger equation with isotropic harmonic potential focus periodically in time. We study the perturbation of this equation by a nonlinear term. If the scaling of this perturbation is critical, each focus…

Analysis of PDEs · Mathematics 2016-08-14 Rémi Carles

The generation of high harmonics in laser-irradiated light homonuclear diatomics (H2+, N2 and O2) compared to that in atomic counterparts (of nearly identical binding energy) is studied within the velocity gauge version of conventional…

Atomic Physics · Physics 2009-11-11 Vladimir I. Usachenko , Pavel E. Pyak , Shih-I Chu

The Schrodinger motion of a charged quantum particle in an electromagnetic potential can be simulated by the paraxial dynamics of photons propagating through a spatially inhomogeneous medium. The inhomogeneity induces geometric effects that…

Quantum Physics · Physics 2009-12-29 K. -P. Marzlin , Juergen Appel , A. I. Lvovsky

A fully analytical approximation for the observable characteristics of many-electron atoms is developed via a complete and orthonormal hydrogen-like basis with a single-effective charge parameter for all electrons of a given atom. The basis…

Quantum Physics · Physics 2017-12-06 O. D. Skoromnik , I. D. Feranchuk , A. U. Leonau , C. H. Keitel

We describe the collisional interaction between two different atoms that are trapped in a harmonic potential. The atoms are exposed to a magnetic field, which is modulated in the vicinity of an s-wave Feshbach resonance, and we study the…

Other Condensed Matter · Physics 2007-06-29 Jesper Fevre Bertelsen , Klaus Molmer

We consider a quantum mechanical model for the high-order harmonic generation in bulk solids. The bandgap is assumed to be considerably larger than the exciting photon energy. Using dipole approximation, the dynamical equations for…

Quantum Physics · Physics 2017-11-09 Viktor Szaszkó-Bogár , Katalin Varjú , Péter Földi

An approach, based on the use of the quasiclassical Green's function, is developed for investigating high-energy quantum electrodynamical processes in combined strong laser and atomic fields. Employing an operator technique, we derive the…

Atomic Physics · Physics 2012-10-26 A. Di Piazza , A. I. Milstein
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