Quantum to Classical: Exploring Intermediate States through Varying Uncertainty

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SUMMARY

The discussion centers on the transition from quantum mechanics to classical physics by examining the role of Planck's constant (h). It is established that replacing h with zero in quantum equations does not universally apply, as h retains dimensional significance. The conversation explores the concept of a continuum of equations where h approaches zero, suggesting potential mathematical states of decoherence. This exploration aims to identify intermediate actions between quantum and classical realms by manipulating uncertainty in accordance with established principles.

PREREQUISITES
  • Understanding of quantum mechanics and classical physics principles
  • Familiarity with Planck's constant (h) and its significance
  • Knowledge of mathematical states of decoherence
  • Concept of uncertainty in quantum systems
NEXT STEPS
  • Research the implications of Planck's constant in quantum mechanics
  • Explore mathematical models of decoherence in quantum systems
  • Investigate the role of uncertainty in quantum-to-classical transitions
  • Study the correspondence principle in quantum physics
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Physicists, researchers in quantum mechanics, and students exploring the transition between quantum and classical physics will benefit from this discussion.

Loren Booda
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A rule of thumb seems to be that a quantum equation converts to its classical correspondent by replacing h (Planck's constant) in the former with zero for the latter. What do you think about the possibility for a continuum of intervening equations, wherein h eventually decreases to zero? Would this suggest mathematical states of decoherence, or of any physically viable phenomenon?
 
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dear,
this is with correspondance principal.Also you cannot replace h by 0 for all particles as h has dimensions.'h' contributes very small in case of macroscopic particle hence is ignorable.
 
As h-->0, it maintains units of erg-seconds. I am trying to explore actions intermediate to those strictly quantum or classical by varying uncertainty in a manner consistent with such a "rule of thumb" as I mentioned above.
 

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