Time-dependent Schrodinger equation1-D atomic hydrogenLaser-atom interactionNumerical methods comparisonsFinite-element gridsWe present a simple, one-dimensional model of an atom exposed to a time-dependent intense, short-pulse EM field with the objective of teaching undergraduates how to apply various ...
In 3D, however, these solutions are only stable for... PA Ruprecht,MJ Holland,K Burnett,... - 《Physical Review A》 被引量: 737发表: 1995年 The inverse scattering transform for the time-dependent Schrodinger equation and Kadomtsev-Petviashvili equation The author describes the application of ...
Theoretical or Mathematical/ fractals Schrodinger equation/ fractal measures time-dependent scattering time evolution Schrodinger equation wave equation interaction term 1D potential scattering formalism fractality wavelet correlation dimension generalized multifractal dimensions nonsmooth dimensions reflected wave packets...
A parallelized three-dimensional (3D) time-dependent Schrodinger equation (TDSE) solver for one-electron systems is presented in this paper. The TDSE Solver is based on the finite-difference method (FDM) in Cartesian coordinates and uses a simple and explicit leap-frog numerical scheme. The simpl...
The Liouville operator associated with the time-dependent frequency harmonic oscillator can be transformed using an Ermakov-Lewis invariant, which is also time dependent and commutes with itself at any time. Finally, because the solution of the Ermakov equation is involved in the evolution of the ...
Quantum mechanics is a highly developed subject which has provided the foundation for describing physical and chemical phenomena since its inception in the 1920's [1]. For non-relativistic systems, the fundamental equation describing a well specified state of such a system is the time-dependent Sch...
By means of that, a collective Schrodinger equation is derived which proves to be identical to the one obtained by consistent quantisation of the classical adiabatic time-dependent Hartree-Fock Hamiltonian.DOI: 10.1088/0305-4616/4/9/006 被引量: 5 ...
We solve exactly the one-dimensional Schrodinger equation for psi(x,t) describing the emission of electrons from a flat metal surface, located atx= 0, by a periodic electric field E cos(omega t) at x> 0, turned on att= 0. We prove that for all physical initial conditions psi(x, 0)...
M. F. Guasti and H. Moya-Cessa, Solution of the Schr¨odinger equation for time- dependent 1D harmonic oscillators using the orthogonal functions invariant, J. Phys. A 36 (2003) 2069-2076.Guasti, M. F. and Moya-Cessa, H. Solution of the schrodinger equation for time-dependent 1d ...
On collapse in the nonlinear Schrodinger equation with time dependent nonlinearity. Application to Bose-Einstein condensates It is proven that periodically varying and sign definite nonlinearity in a general case does not prevent collapse in two-dimensional and three-dimensional ... VV Konotop,P Paccia...