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Energy minimization related to the nonlinear Schrödinger equation

✍ Scribed by Nauman Raza; Sultan Sial; Shahid S. Siddiqi; Turab Lookman

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 204 KB
Volume: 228
Category: Article
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2008.12.016

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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