Do we need quantum-classical correspondence?

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SUMMARY

The discussion centers on the relevance of quantum-classical correspondence in understanding quantum mechanics, specifically in relation to the time-dependent Schrödinger equation (TDSE). Participants highlight that while TDSE can yield quantum results, it is not suitable for describing classical phenomena, such as planetary motion. The conversation emphasizes that quantum-classical correspondence remains a significant area of research, particularly in the micro-world, despite its limitations in classical contexts.

PREREQUISITES
  • Understanding of the time-dependent Schrödinger equation (TDSE)
  • Familiarity with quantum mechanics principles
  • Knowledge of classical mechanics
  • Basic grasp of quantum-classical correspondence concepts
NEXT STEPS
  • Research the implications of quantum-classical correspondence in quantum mechanics
  • Study the applications of the time-dependent Schrödinger equation in various physical systems
  • Explore the differences between quantum and classical descriptions of motion
  • Investigate current research trends in the micro-world related to quantum-classical correspondence
USEFUL FOR

Physicists, quantum mechanics researchers, and students interested in the interplay between quantum and classical physics.

xylai
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Now we can solve TDSE (time-dependent Schrödinger equation) to obtain the quantum results.
I wonder why lots of people still do some works on quantum-classical correspondence?
 
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Can you describe the motion of planets by TDSE? No? That's why.
 
Demystifier said:
Can you describe the motion of planets by TDSE? No? That's why.

Yes I can't.
But quantum-classical correspondence is investigated in the micro-world.
 

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