Troubleshooting Tensors: A Quick Fix Guide

  • Thread starter Thread starter mahblah
  • Start date Start date
  • Tags Tags
    Tensors
Click For Summary

Homework Help Overview

The discussion revolves around the manipulation of tensor indices in a mathematical context, specifically addressing potential errors in index notation and transformations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of renaming indices in tensor equations, questioning the validity of such changes and the rules governing free versus dummy indices.

Discussion Status

The conversation is ongoing, with participants examining the correctness of index manipulation and raising concerns about the assumptions made in the original post. Some guidance has been offered regarding the rules of index renaming.

Contextual Notes

There appears to be confusion regarding the treatment of indices in tensor notation, particularly in relation to the original poster's approach and the implications of their transformations.

mahblah
Messages
19
Reaction score
2
Hi... here it is... sorry for my english...

http://sphotos-c.ak.fbcdn.net/hphotos-ak-ash4/297165_4722421629188_964469850_n.jpg
 
Last edited by a moderator:
Physics news on Phys.org
Hello. Looks like you replaced A^\rho by g^{\alpha\beta}A_\beta. What happened to ##\rho## and how did ##\alpha## appear? Similarly for your indices on the partial derivative: ##\sigma## disappears while ##\eta## suddenly appears.
 
Thanks Tsny, ...but it's a simply rename of the index... i mean... i think this is not the problem..
 
You can't rename free indices, only 'dummy' (ones summed over) ones.
 

Similar threads

Replies
21
Views
3K
Replies
1
Views
2K
Replies
23
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K