The relation between classical from quantum vs measurement perspective

Click For Summary
SUMMARY

The discussion centers on the relationship between classical and quantum systems, particularly from a measurement perspective. Participants assert that classical objects are not merely collapsed wavefunctions but can be described by probability, while quantum systems are characterized by probability amplitudes. Decoherence is highlighted as a key mechanism that imparts classical properties to quantum objects through constant environmental interaction, leading to apparent wavefunction collapse. The conversation emphasizes the complexity of these concepts and the necessity for deeper study to fully grasp the nuances of quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly wavefunction and probability amplitude.
  • Familiarity with decoherence and its role in quantum-to-classical transition.
  • Knowledge of non-relativistic quantum mechanics (NRQM) and its implications for particle behavior.
  • Basic grasp of measurement theory in quantum mechanics.
NEXT STEPS
  • Study the concept of decoherence in detail and its implications for quantum systems.
  • Read "Quantum Mechanics: Concepts and Applications" by Nouredine Zettili for a comprehensive understanding.
  • Explore the Born rule and its significance in connecting classical and quantum realms.
  • Investigate advanced quantum mechanics texts that delve into the mathematical frameworks of particle behavior.
USEFUL FOR

Physicists, students of quantum mechanics, and anyone interested in the foundational concepts of quantum theory and its implications for classical physics.

ftr
Messages
624
Reaction score
47
What is the relation between classical from quantum vs measurement problem. On one hand they seem to be related on the other they seem to be of different nature.

We always see our screens on front of us and not 100 meters away, that we say is classical object although the screen is a quantum object in the end and it exists even when we are not looking at it . But the measurement of quantum systems says it only takes reality when "measured". I am confused when people discuss wavefunction collapse in regard as to which problem is actually being addressed and the relation.

Edit by mentor. You cannot bump a thread in less than 24 hours, so your posts have been merged. Please read the rules. It's amazing that after all of this time here you have never bothered to read the rules.

Since I am not getting any response let me ask a simpler question. Are classical objects considered to be a collapsed wavefunction of the system or the subsystems or what?.
 
Last edited by a moderator:
Physics news on Phys.org
Personally I think that wavefunction collapse does not connect quantum and classical worlds. I think it's rather Born rule that does that.
So my answer is no, classical system is not collapsed wavefunction. Classical system can be described by probability while quantum system by probability amplitude.
 
ftr said:
Are classical objects considered to be a collapsed wavefunction of the system or the subsystems or what?.

Well first of all collapse isn't part of QM - its only part of some interpretations.

The classical world emerges because classical objects are being 'observed' all the time by the environment which via decoherence gives them classical properties.

Remove that interaction with the environment, while quite difficult to do, has in recent times been done, and some strange phenomena emerge:
http://physicsworld.com/cws/article/news/2010/mar/18/quantum-effect-spotted-in-a-visible-object

All objects are quantum - but not all objects are interacting with the environment (the vast vast majority are of course - its very very hard to engineer a situation where it isn't) - those that do have classical behaviour. For example a few stray photons form the CMBR are enough to give a dust particle a definite position.

The detail of all of this can't really be explained at the lay level - at that level the following is about as good as can be done:
https://www.amazon.com/dp/0465067867/?tag=pfamazon01-20

If you are willing to actually do the hard yards and delve into the detail (which of course I think is the best course) then the following is THE book:
https://www.amazon.com/dp/3540357734/?tag=pfamazon01-20

Thanks
Bill
 
Last edited by a moderator:
Thanks Bill. Of course, I read the Wiki decoherance and hence my question. If you look at the part of measurement you find it brief and confusing, other articles give very hard to understand discussions and not real explanation.

Moreover, as for classical from quantum, in NRQM you find the proton sitting in one place(ie. well defined position almost) and it is the electron which is elusive. So for normal classical objects I don't know what is the big deal the protons are not allover the place like electrons. And so what does decoherence actually says. Now, if it says the electron's position gets defined, that sound like a disaster for the atoms. I guess I am not getting it.

My understanding is the decoherance tries to explain why we don't find atoms allover the place as to the description of their wavefunction, is that correct?
 
ftr said:
My understanding is the decoherance tries to explain why we don't find atoms allover the place as to the description of their wavefunction, is that correct?

No.

It explains apparent collapse.

Thanks
Bill
 
Thanks Bill. But I was hoping somebody addresses my proton argument.
 
ftr said:
Moreover, as for classical from quantum, in NRQM you find the proton sitting in one place(ie. well defined position almost) and it is the electron which is elusive. So for normal classical objects I don't know what is the big deal the protons are not allover the place like electrons.

The electron is much lighter than a proton so the model is we describe the system using the proton as the origin of our coordinate system. An atom as a whole is modeled quite well as a little ball.

You can probably find treatments that remove that assumption but the math would be a lot harder and I don't think particularly illuminating of anything.

Thanks
Bill
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
3
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K