The Lagrangian of a Coherent State

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SUMMARY

The discussion centers on the formulation of a Lagrangian for coherent states of vector fields with varying energy levels. Participants emphasize that Lagrangians pertain to systems rather than individual states, and the concept of differing energy levels is inappropriate at the classical field theory stage. The consensus is that a foundational understanding of Lagrangians is essential, and personal theories are not permitted in this forum. Participants recommend consulting authoritative textbooks on Lagrangian mechanics for proper guidance.

PREREQUISITES
  • Understanding of classical field theory
  • Familiarity with quantum mechanics and energy quantization
  • Knowledge of Lagrangian mechanics
  • Ability to interpret vector fields in theoretical physics
NEXT STEPS
  • Study "Classical Mechanics" by Herbert Goldstein for foundational concepts
  • Explore "Quantum Field Theory" by Mark Srednicki for advanced applications
  • Research the role of coherent states in quantum mechanics
  • Learn about the mathematical formulation of Lagrangians in field theory
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The discussion is beneficial for theoretical physicists, graduate students in physics, and anyone seeking to deepen their understanding of Lagrangian mechanics and coherent states in quantum field theory.

Blabbityblobo667
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How does one write a Lagrangian of a coherent state of vector fields (of differing energy levels) in terms of the the individual Lagrangians?

I desperately need to know how to know to do this, for a theory of mine to make any progress.

Please stick with me, if I didn't make sense just ask.

P.S. I don't know what level/prefix this question deserves.
 
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Your question doesn't make sense!
Lagrangians are for systems not individual states of the systems. And actually at that level the notion of states with different energy levels doesn't make sense because at first there is a classical field theory with continuous energy and after quantization, you'll get energy levels.
This lack of knowledge at your side means that you're not qualified to have a theory.
And also PF rules forbid the discussion of personal theories.
 
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Blabbityblobo667 said:
I desperately need to know how to know to do this, for a theory of mine to make any progress.

As Shyan says, PF rules do not permit discussion of personal theories, so your theory itself is off topic here.

Also, your best way of learning how Lagrangians work is to find a good textbook on Lagrangians. As Shyan says, your question as it stands doesn't even make sense, so evidently your knowledge of Lagrangians is very sketchy. Thread closed.
 
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