Nomenclature Question

  • #1
So I'm studying for my CM final and in looking over the section on ignorable coordinates and generalized momenta I come across the definition for conjugate momentum [tex]p_{i} = \frac{\partial L}{\partial \dot{q_{i}}}[/tex]

My question is simple - why is it called 'conjugate'? I just never really thought to question to the name.
 

Answers and Replies

  • #3
Matterwave
Science Advisor
Gold Member
3,966
327
You need a word to differentiate it from a physical momentum, I guess "generalized momentum" might also work, but the "conjugate" part comes into play more when you move to Hamilonian mechanics where your phase space coordinates are these (p,q) conjugate pairs.
 
  • Like
Likes snatchingthepi
  • #4
Thank you both.
 

Related Threads on Nomenclature Question

Replies
8
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
2
Replies
35
Views
5K
Replies
4
Views
2K
Replies
3
Views
2K
  • Last Post
  • Optics
Replies
5
Views
2K
Replies
8
Views
5K
  • Last Post
  • Optics
Replies
2
Views
1K
Replies
0
Views
1K
  • Last Post
  • Optics
Replies
6
Views
8K
Top