Difference between atomic behavior in QM and classical physics

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SUMMARY

The discussion centers on the fundamental differences between atomic behavior in quantum mechanics (QM) and classical physics. Key distinctions include the uncertainty principle, which indicates that atoms do not possess fixed positions and momenta, and the concept of wave-like behavior where atoms are spread out and interact. The Poisson bracket formulation illustrates that while classical physics uses numerical dynamical variables, QM employs operators. Understanding these concepts requires a foundational study of quantum mechanics, as they cannot be simplified for lay audiences.

PREREQUISITES
  • Quantum Mechanics fundamentals
  • Classical Physics principles
  • Uncertainty Principle in QM
  • Poisson bracket formulation
NEXT STEPS
  • Study "Quantum Mechanics: Concepts and Applications" by Nouredine Zettili
  • Read "Quantum Physics for Beginners" by Carl J. Pratt
  • Explore the mathematical framework of operators in quantum mechanics
  • Investigate the implications of the uncertainty principle on atomic interactions
USEFUL FOR

Students of physics, educators in quantum mechanics, and anyone interested in the foundational differences between quantum and classical physics.

durant35
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I believe this question will be a no-brainer for many members. I want to conceptually grasp how do atoms (and molecules) behave using QM in contrast to the classical physics model. Now there's uncertainty principle and atoms don't have a fixed position and momentum, and that's fine, I know it's not entirely correct but I imagine it in a wave-like way where they are spread out in space and mutually interacting. Please correct me if I'm wrong.
Now for instance the atoms in a solid are tightly packed, does this mean that the atoms (which are 'wavy') mutually overlap in space and get entangled, or do they cancel each other out in a way that they occupy a specific region of space where we can find them but do not overlap with other atoms? I hope my question is clear so it can be described how is the atomic behavior in everyday objects (not in isolation and cold temperatures) different in the quantum picture than in the classical picture.

Regards.
 
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durant35 said:
I believe this question will be a no-brainer for many members. I want to conceptually grasp how do atoms (and molecules) behave using QM in contrast to the classical physics model.

In other words you want to know the difference between QM and classical physics.

Sorry but there is no other choice than to study it.

These two books explain it:
https://www.amazon.com/dp/0465075681/?tag=pfamazon01-20
https://www.amazon.com/dp/0465062903/?tag=pfamazon01-20

The difference is clearly seen in the Poisson bracket formulation. They are the same except classical physis has dynmaical variables as numbers, in QM they are operators. Of ourse that will sound like giberish until you study the books I mentioned. And no it can't be explained at the lay level.

Thanks
Bill
 

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