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.
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页码：292 / 299
页数：7
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