Improved boundary conditions for the time‐dependent Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Absorbing Boundary Conditions for the Schrödinger Equation
A large number of differential equation problems which admit traveling waves are usually defined on very large or infinite domains. To numerically solve these problems on smaller subdomains of the original domain, artificial boundary conditions must be defined for these subdomains. One type of artificial boundary condition which can minimize the size of such subdomains is the absorbing boundary...
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A local time-splitting method (LTSM) is developed to design absorbing boundary conditions for numerical solutions of time-dependent nonlinear Schrödinger equations associated with open boundaries. These boundary conditions are significant for numerical simulations of propagations of nonlinear waves in physical applications, such as nonlinear fiber optics and Bose-Einstein condensations. Numeric...
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This paper adresses the construction and study of a Crank-Nicolson-type discretization of the two-dimensional linear Schrödinger equation in a bounded domain Ω with artificial boundary conditions set on the arbitrarily shaped boundary of Ω. These conditions present the features of being differential in space and nonlocal in time since their definition involves some time fractional operators. Af...
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We consider in this work the initial value problem for the one dimensional cubic nonlinear Schrödinger equation. In order to integrate it numerically, one option frequently used, is to impose local absorbing boundary conditions. A finite element discretization in space of the cubic nonlinear Schrödinger equation is considered along with the absorbing boundary conditions obtained for an analogou...
متن کاملAbsorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential
Xavier ANTOINE1, Christophe BESSE2, Pauline KLEIN3 1 Institut Elie Cartan Nancy, Université de Lorraine, CNRS UMR 7502, INRIA CORIDA Team, Boulevard des Aiguillettes B.P. 239, F-54506 Vandoeuvre-lèsNancy, France. e-mail: [email protected] 2 Laboratoire Paul Painlevé, Université Lille Nord de France, CNRS UMR 8524, INRIA SIMPAF Team, Université Lille 1 Sciences et Technologies, Cité...
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ژورنال
عنوان ژورنال: Journal of Applied Physics
سال: 1990
ISSN: 0021-8979,1089-7550
DOI: 10.1063/1.345203