Energy minimization related to the nonlinear Schrödinger equation

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• 作者：Nauman Raza ; Sultan Sial ; Shahid S. Siddiqi ; Turab Lookman
• 关键词：Sobolev gradients ; Nonlinear Schrö ; dinger equation
• 刊名：Journal of Computational Physics
• 出版年：2009
• 出版时间：20 April 2009
• 年：2009
• 卷：228
• 期：7
• 页码：2572-2577
• 全文大小：203 K

文摘

In this the window of the Sobolev gradient technique to the problem of minimizing a Schrödinger functional associated with a nonlinear Schrödinger equation. We show that gradients act in a suitably chosen Sobolev space (Sobolev gradients) can be used in finite-difference and finite-element settings in a computationally efficient way to find minimum energy states of Schrödinger functionals.