How to systematically find the symmetry operator given a Hamiltonian?

Click For Summary
SUMMARY

This discussion focuses on the systematic derivation of equations 2.2 and 2.5 from a given Hamiltonian as outlined in the article available at arxiv.org/pdf/0904.2771.pdf. It emphasizes that specific details about the Hamiltonian's terms and their interactions are crucial for deriving these equations. Without this information, the derivation cannot be completed. The conversation highlights the importance of understanding the Hamiltonian's structure to apply the symmetry operator effectively.

PREREQUISITES
  • Familiarity with Hamiltonian mechanics
  • Understanding of symmetry operators in quantum mechanics
  • Knowledge of mathematical derivation techniques
  • Ability to interpret academic papers in theoretical physics
NEXT STEPS
  • Study the derivation of symmetry operators in quantum mechanics
  • Review Hamiltonian formulations in quantum systems
  • Analyze specific examples of Hamiltonians and their terms
  • Examine the implications of equations 2.2 and 2.5 in the context of the discussed article
USEFUL FOR

The discussion is beneficial for theoretical physicists, graduate students in quantum mechanics, and researchers focusing on symmetry operations in Hamiltonian systems.

quantumbitting
Messages
1
Reaction score
0
For instance,how to systematically derive the equns 2.2 & 2.5 given a Hamiltonian on the article below?;
arxiv.org/pdf/0904.2771.pdf .
 
Physics news on Phys.org
Unfortunately, it is not possible to answer this question without more specific information on the Hamiltonian being referred to. In order to derive equations 2.2 and 2.5, you need to know what terms are present in the Hamiltonian and how they interact with each other. Without this information, it is impossible to derive the equations.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 4 ·
Replies
4
Views
7K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 0 ·
Replies
0
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 0 ·
Replies
0
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K