Wave-packet dynamics by optimized polynomials methods
نویسندگان
چکیده
An optimized and numerically stable method, based on the formalism of orthogonal polynomials, is proposed to solve the time-dependent Schrödinger equation and to construct energy-filtered wave-packets. It is compared to other methods (Runge-Kutta, Second-Order Differencing scheme). A method is also devised to study quantum diffusion in finite systems with periodic boundary conditions, which allows to suppress boundary effects. As an illustration of our methods, electronic localization is studied in a random magnetic flux lattice.
منابع مشابه
Comparative Study of Semiclassical Approaches to Quantum Dynamics
Quantum states can be described equivalently by density matrices, Wigner functions or quantum tomograms. We analyze the accuracy and performance of three related semiclassical approaches to quantum dynamics, in particular with respect to their numerical implementation. As test cases, we consider the time evolution of Gaussian wave packets in different one-dimensional geometries, whereby tunneli...
متن کاملLinear combinations of wave packet frames for L^2(R^d)
In this paper we study necessary and sufficient conditions for some types of linear combinations of wave packet frames to be a frame for L2(Rd). Further, we illustrate our results with some examples and applications.
متن کاملQuantum wave packet ab initio molecular dynamics: an approach to study quantum dynamics in large systems.
A methodology to efficiently conduct simultaneous dynamics of electrons and nuclei is presented. The approach involves quantum wave packet dynamics using an accurate banded, sparse and Toeplitz representation for the discrete free propagator, in conjunction with ab initio molecular dynamics treatment of the electronic and classical nuclear degree of freedom. The latter may be achieved either by...
متن کاملبرانگیختگی و میرایی نوسانات عرضی در حلقههای تاج توسط پدیده ویک
Transversal oscillation of coronal loops that are interpreted as signatures of magneto hydrodynamics (MHD) waves are observed frequently in active region corona loops. The amplitude of this oscillation has been found to be strongly attenuated. The damping of transverse oscillation may be produced by the dissipation mechanism and the wake of the traveling disturbance. The damping of transversal ...
متن کاملDynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles
The time dependence of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastically colliding spheres is investigated by kinetic theory. We determine the full time dependence of the coefficients of an expansion around the Gaussian state in Generalized Laguerre polynomials. Approximating this system of equations to sixth order, we find that the asymptotic sta...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000