Conservation Laws for the Schrödinger—Newton Equations

被引：0

作者：

G. Gubbiotti

M. C. Nucci

机构：

[1] Università di Perugia & INFN Sezione Perugia,Dipartimento di Matematica e Informatica

来源：

Journal of Nonlinear Mathematical Physics | 2012年 / 19卷

关键词：

Schrödinger—Newton equations; calculus of variations; Noether’s theorem; 02.30.Jr; 02.30.Xx; 11.30.-j;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this Letter a first-order Lagrangian for the Schrödinger—Newton equations is derived by modifying a second-order Lagrangian proposed by Christian [Exactly soluble sector of quantum gravity, Phys. Rev. D56(8) (1997) 4844–4877]. Then Noether’s theorem is applied to the Lie point symmetries determined by Robertshaw and Tod [Lie point symmetries and an approximate solution for the Schrödinger—Newton equations, Nonlinearity19(7) (2006) 1507–1514] in order to find conservation laws of the Schrödinger—Newton equations.

引用

页码：292 / 299

页数：7

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