How Did Emmy Noether Derive Her Equation for Variational Symmetries in 1915?

  • Thread starter bdj03001
  • Start date
  • Tags
    Noether
In summary, Emmy Noether's 1915 paper discusses variational symmetries and how they can be used to rewrite the Euler-Lagrange Equation in terms of infinitesimals and the function L(x,y,y'). This approach is more efficient than solving for y(x) in the E-L equation. Symmetry is a powerful tool in solving differential equations, and there is a book by Leon Lederman dedicated to this topic.
  • #1
bdj03001
7
0
I am in need of Noether's paper she wrote in around 1915 about variational symmetries.

I need to know how she found that [for an ode L(x,y,y')]if an X and Y (infinitesimals) exists then you can rewrite the Euler-Lagrange Equation in terms of L(x,y,y'), X(x,y) and Y(x,y).

This is really amazing how she didn't this. So instead of solving for y(x) in the E-L equ you can just plug it into the equation she came up with.

If anyone could find the paper she wrote that would be awesome!

Thanks
 
Physics news on Phys.org
  • #2
Ok, I found it. thanks anyways.(http://www.physics.ucla.edu/~cwp/lists/accDB_su.html)

Symmetry is THE most powerful tool in solving differential equations. If you are a young math major you should difinitely think about going to a school where symmetry classes are avaliable.
 
Last edited by a moderator:
  • #3
Speaking of Emmy Noether...

Leon Lederman has written an excellent, non-technical book dedicated to symmetry in physics. It is a long-overdue, popular homage to Emmy Noether!

Symmetry and the Beautiful Universe
by Leon M. Lederman & Christopher T. Hill​
 

Related to How Did Emmy Noether Derive Her Equation for Variational Symmetries in 1915?

What is Emmy Noether best known for?

Emmy Noether is best known for her groundbreaking work in abstract algebra and theoretical physics, particularly her development of Noether's theorem which connects symmetries in physics to conservation laws.

When and where was Emmy Noether born?

Emmy Noether was born on March 23, 1882 in Erlangen, Germany.

What were some of Emmy Noether's contributions to mathematics and physics?

Emmy Noether's contributions include her work on abstract algebra, Noether's theorem, and her research on the theory of invariants. She also made significant contributions to the fields of topology, group theory, and theoretical physics.

What challenges did Emmy Noether face as a female scientist during her time?

Emmy Noether faced many challenges as a female scientist, including being denied a professorship at the University of Göttingen due to her gender. She also faced discrimination and limited opportunities for advancement in her field.

What is the significance of Emmy Noether's work in modern physics?

Emmy Noether's work has had a lasting impact on modern physics, particularly in the fields of theoretical and mathematical physics. Her theorem has been applied in various areas of physics, including quantum mechanics, relativity, and particle physics.

Similar threads

Replies
25
Views
4K
Replies
5
Views
609
Replies
3
Views
703
  • Calculus and Beyond Homework Help
Replies
6
Views
1K
Replies
8
Views
436
Replies
25
Views
1K
  • Differential Geometry
Replies
7
Views
3K
  • Special and General Relativity
Replies
8
Views
357
  • Special and General Relativity
Replies
18
Views
2K
  • Classical Physics
Replies
5
Views
1K
Back
Top