ScholarLens Back to search
2015•Acta Physica Polonica AOpen access

Noether Theorems and Discrete Variational Integrators in Field Theory

Li-Li Xia, Li‐Qun Chen, Chang-Xin Liu

Open full text 1 citations

Abstract

The discrete analogue of the Noether-type identities in eld theory is investigated by means of the dierence discrete variational principle in which the dierence is regarded as an entire geometric object.The discrete counterparts of the Noether theorems are obtained.It is proved that there exists the discrete version of the Noether conservation law in eld theory.The discretization for the nonlinear Schrödinger equation is presented to illustrate the results.

Open-access reader

About this research paper

What this paper is about

The discrete analogue of the Noether-type identities in eld theory is investigated by means of the dierence discrete variational principle in which the dierence is regarded as an entire geometric object.The discrete counterparts of the Noether theorems are obtained.It is proved that there exists the discrete version of the Noether conservation law in eld theory.The discretization for the nonlinear Schrödinger equation is presented to illustrate the results.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The discrete analogue of the Noether-type identities in eld theory is investigated by means of the dierence discrete variational principle in which the dierence is regarded as an entire geometric object.The discrete counterparts of the Noether theorems are obtained.It is proved that there exists the discrete version of the Noether conservation law in eld theory.The discretization for the nonlinear Schrödinger equation is presented to illustrate the results.

Key concepts: Noether's theorem, Variational integrator, Mathematical physics, Integrator, Field (mathematics), Mathematics, Physics, Classical mechanics

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Noether Theorems and Discrete Variational Integrators in Field Theory — Research Paper | ScholarLens