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Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation
Fast Gaussian wavepacket transforms Gaussian beams Schrodinger equation
2015/7/14
This paper introduces a wavepacket-transform-based Gaussian beam method for solving the Schrödinger equation. We focus on addressing two computational issues of the Gaussian beam method: how to g...
On the Uniqueness of Solutions of the Schrödinger Equation on Riemannian Symmetric Spaces of the Noncompact Type
the Schrö dinger Equation Riemannian Symmetric Spaces the Noncompact Type
2010/11/11
Let X be a Riemannian symmetric space of the noncompact type. We prove that the solution of the time-dependent Schr\"odinger equation on X with square integrable initial condition f is identically ze...
THE FINITE DIMENSION BEHAVIOR OF THE SCHRDINGER EQUATION WITH NONLOCAL INTEGRAL NONLINEARITY
Schrodinger equation nonlocal
2007/12/11
In this paper we discuss the long time behavior of the initial problem We show that in a weighted Hilbert space there exists a global attractor which is weakly compact and has finite Hausdorff and fra...