Book with Good Discussion of Noether's Theorem?

In summary, Noether's Theorem is a fundamental concept in theoretical physics that explains the connection between symmetries and conservation laws. It has had a significant impact on modern physics and has led to important developments in various fields. "Noether's Theorems: Applications in Mechanics and Field Theory" by Yvette Kosmann-Schwarzbach is a recommended book for learning about it. This theorem also highlights the crucial role of symmetries in determining the laws of nature and has real-world applications in areas such as particle physics and cosmology.
  • #1
MissSilvy
300
1
I'm looking for a book that approaches it from preferably a physics slant (in terms of invariance, conserved quantities, and the like) but every mechanics textbook I've looked at gives a poor description. They're heavy on the math but they lack explanation or discussion of the results.
 
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  • #2
Neuenschwander's "Emmy Noether's Wonderful Theorem" is a nice discussion of the theorems and applications along with some biographical information. Kosmann-Schwarzbach's "The Noether Theorems" has a translation and discussion of the 1918 paper and is a much more historical treatment of influence of the theorems. Both are advanced undergraduate texts.
 

1. What is Noether's Theorem?

Noether's Theorem is a fundamental concept in theoretical physics that states that for every continuous symmetry in a physical system, there is a corresponding conserved quantity. In simpler terms, it shows a deep connection between symmetries and conservation laws.

2. Why is Noether's Theorem important?

Noether's Theorem has had a profound impact on modern physics, particularly in the fields of quantum mechanics and general relativity. It has allowed for a better understanding of the fundamental laws of nature and has led to important developments in theoretical physics.

3. What is a good book to learn about Noether's Theorem?

One highly recommended book is "Noether's Theorems: Applications in Mechanics and Field Theory" by Yvette Kosmann-Schwarzbach. It provides a comprehensive and accessible explanation of Noether's Theorem and its applications in various areas of physics.

4. How does Noether's Theorem relate to symmetries in physics?

Noether's Theorem states that for every continuous symmetry in a physical system, there is a conserved quantity. This means that symmetries play a crucial role in determining the laws of nature and can help us understand the underlying structure and behavior of physical systems.

5. Are there any real-world applications of Noether's Theorem?

Yes, Noether's Theorem has been applied in various areas of physics, including particle physics, cosmology, and condensed matter physics. It has also been used in the development of theories such as gauge theory and string theory.

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