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The electronic structure, when restricted to the d-band approximation, is a computational model that is both efficient and useful for describing transition metals. In the absence of considering delocalized sp-states, this approximation…

Materials Science · Physics 2025-08-05 Jacques R. Eone

A fast and stable numerical method is formulated to compute the time evolution of a wave function in a magnetic field by solving the time-dependent Schroedinger equation. This computational method is based on the finite element method in…

Computational Physics · Physics 2009-11-06 Naoki Watanabe , Masaru Tsukada

We present a theoretical investigation of high-harmonic generation (HHG) from impurity-doped materials using the time-dependent Schr\"odinger equation (TDSE) approach. We demonstrate the factorization of HHG yields as a product of an…

Optics · Physics 2020-08-19 Van-Hung Hoang , Anh-Thu Le

Thermalization of systems described by the discrete non-linear Schr\"odinger equation, in the strong disorder limit, is investigated both theoretically and numerically. We show that introducing correlations in the disorder potential, while…

Disordered Systems and Neural Networks · Physics 2011-07-07 Tsampikos Kottos , Boris Shapiro

Theoretical predictions are made for the current-voltage characteristics of two-dimensional heterojunction interlayer tunneling field-effect transistors (Thin-TFETs), focusing on the magnitude of the current that is achievable in such…

Mesoscale and Nanoscale Physics · Physics 2017-09-22 Jun Li , Yifan Nie , Kyeongjae Cho , Randall M. Feenstra

The time-dependent complete-active-space self-consistent-field (TD-CASSCF) method for the description of multielectron dynamics in intense laser fields is presented, and a comprehensive description of the method is given. It introduces the…

Atomic Physics · Physics 2015-06-15 Takeshi Sato , Kenichi L. Ishikawa

We discuss a possible approach to the problem of a gauge theory with a strong coupling constant. It is seen that, instead of plane waves, we have to consider the adiabatic eigenstates of the perturbation in order to get a meaningful…

High Energy Physics - Theory · Physics 2008-02-03 Marco Frasca

Solid-state materials have recently emerged as a new stage of strong-field physics and attosecond science. The mechanism of the electron dynamics driven by an ultrashort intense laser pulse is under intensive discussion. Here we…

Materials Science · Physics 2020-04-23 Kenichi L. Ishikawa , Yasushi Shinohara , Takeshi Sato , Tomohito Otobe

We consider double ionization of negative bromine ion in intense low-frequency electromagnetic fields. By solving numerically the two-electron time-dependent Schr{\" o}dinger equation we demonstrate that while for pulses of a few tens of…

Atomic Physics · Physics 2025-11-13 D. I. Tyurin , V. V. Strelkov , S. V. Popruzhenko

Ionization of an atom or molecule presents surprising richness beyond our current understanding: strong-field ionization with low-frequency fields recently revealed unexpected kinetic energy structures (1, 2). A solid grasp on electron…

The intertwining technique has been widely used to study the Schr\"odinger equation and to generate new Hamiltonians with known spectra. This technique can be adapted to find the bound states of certain Dirac Hamiltonians. In this paper the…

Quantum Physics · Physics 2012-10-30 Alonso Contreras-Astorga , David J. Fernández C. , Javier Negro

The fully nonlinear response of a many-level tunneling system to a strong alternating field of high frequency $\omega$ is studied in terms of the Schwinger-Keldysh nonequilibrium Green functions. The nonlinear time dependent tunneling…

Condensed Matter · Physics 2009-10-28 Y. Goldin , Y. Avishai

In this paper a time dependent Stokes problem that is motivated by a standard sharp interface model for the fluid dynamics of two-phase flows is studied. This Stokes interface problem has discontinuous density and viscosity coefficients and…

Numerical Analysis · Mathematics 2018-07-12 Igor Voulis , Arnold Reusken

The measurement of tunneling times in strong-field ionization has been the topic of much controversy in recent years, with the attoclock and Larmor clock being two of the main contenders for correctly reproducing these times. By expressing…

Quantum Physics · Physics 2025-05-01 Pablo Martin Maier , Serguei Patchkovskii , Mikhail Ivanov , Olga Smirnova

This paper presents the exact ground state solution for a diatomic particle system with position-dependent complex mass under action of a complex Morse potential in the quantum domain. By solving the position-dependent Schr\"odinger…

Quantum Physics · Physics 2025-12-24 Partha Sarathi , Bhaskar Singh Rawat

By employing supersymmetric quantum mechanics, we present a general algorithm to construct supersymmetric partner potentials and hence derive exact stationary solutions of the inhomogeneous nonlinear Schr\"odinger equation (INLSE). This is…

Quantum Physics · Physics 2025-11-25 David J. Fernández C. , O. Pavón-Torres

We solve the Skorokhod embedding problem for a class of stochastic processes satisfying an inhomogeneous stochastic differential equation (SDE) of the form $d A_t =\mu (t, A_t) d t + \sigma(t, A_t) d W_t$. We provide sufficient conditions…

Probability · Mathematics 2019-06-19 Stefan Ankirchner , Stefan Engelhardt , Alexander Fromm , Goncalo dos Reis

We construct a general metric-tensor framework for treating inhomogenous adiabatic deformations applied to crystalline insulators, by deriving an effective time-dependent Schr\"odinger equation in the undistorted frame. The response can be…

Materials Science · Physics 2018-09-26 Massimiliano Stengel , David Vanderbilt

Application of a strong electric field to insulators induces a finite current. This phenomenon is called dielectric breakdown and is known as a fundamental nonequilibrium and nonlinear transport phenomenon in solids. Here, we study the…

Strongly Correlated Electrons · Physics 2025-11-26 Kazuaki Takasan , Masaya Nakagawa , Norio Kawakami

Relative phases of atomic above-threshold ionization wavepackets have been investigated in a recent experiment [L. J. Zipp, A. Natan, and P. H. Bucksbaum, Optica \textbf{1}, 361-364 (2014)] exploiting interferences between different…

Atomic Physics · Physics 2021-11-10 S. D. López , S. Donsa , S. Nagele , D. G. Arbó , J. Burgdörfer