Book on Classical and Quantum Mechanics

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SUMMARY

The discussion centers on the search for a book that integrates classical and quantum mechanics using a unified mathematical framework. Participants recommend Robert Geroch's lecture notes titled "Geometric Quantum Mechanics" as a valuable resource for understanding both theories within the same mathematical context. The conversation emphasizes the importance of finding literature that bridges these two fundamental areas of physics, particularly through geometric approaches.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with quantum mechanics concepts
  • Basic knowledge of geometric frameworks in physics
  • Experience with mathematical formulations in theoretical physics
NEXT STEPS
  • Research "Geometric Quantum Mechanics" by Robert Geroch
  • Explore additional resources on unified theories in physics
  • Investigate books that cover both classical and quantum geometry
  • Study mathematical frameworks used in theoretical physics
USEFUL FOR

Physicists, students of theoretical physics, and anyone interested in the intersection of classical and quantum mechanics through geometric approaches.

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Is there a book that presents classical and quantum mechanics utilizing the same mathematical framework? Just to get it out of the way, I have books on both topics that are separate from each other, I'm merely interested in any formulations of both theories utilizing the same math frameworks. If possible, is there also a book that describes classical and quantum geometry?
 
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Check out Robert Geroch's lecture notes called "Geometric Quantum Mechanics".
 

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