High School Unraveling the Mystery: Interactions and Properties of Quantum Objects

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SUMMARY

Quantum objects possess properties at all times, but these properties do not have definite values until measurement occurs. For instance, a free neutron may have a position described by X+/-dx, Y+/-dy, Z+/-dz at time T+/-dt. Interactions between quantum particles can happen regardless of the uncertainty in their positions, adhering to the Heisenberg Uncertainty Principle. The discussion highlights that while interpretations of quantum mechanics vary, they do not affect the mathematical outcomes of quantum interactions.

PREREQUISITES
  • Understanding of quantum mechanics principles, including the Heisenberg Uncertainty Principle
  • Familiarity with quantum measurement and wave function interpretation
  • Knowledge of probabilistic models in quantum physics
  • Basic grasp of particle physics, specifically regarding quantum objects like neutrons
NEXT STEPS
  • Explore the implications of the Heisenberg Uncertainty Principle in quantum mechanics
  • Research different interpretations of quantum mechanics, such as Copenhagen and Many-Worlds
  • Study quantum measurement theory and its impact on defining properties of quantum objects
  • Investigate the role of wave functions in describing quantum states and their properties
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Physicists, students of quantum mechanics, and anyone interested in the foundational concepts of quantum theory and the nature of quantum interactions.

Joseph Flatt
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How can the environment interact with a quantum object with no definite properties?
How can a quantum object interact with its environment before it has any definite properties? It seems like a ‘chicken and egg’ scenario to me. I can’t see how anything could interact with a quantum object which has only potential properties (what is there to interact with?), yet if I’ve understood things correctly, a quantum object gains definite properties only through interaction. Is it assumed that there are properties that quantum objects always have? Or (more likely), am I missing something obvious?
 
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Joseph Flatt said:
Summary:: How can the environment interact with a quantum object with no definite properties?

Great question. First, quantum objects have properties at all times. Those properties do not have definite values prior to measurement. For example: a free neutron may have a position of X+/-dx, Y+/-dy, Z+/-dz at time T+/-dt. A suitable measurement can either reduce the position uncertainty (the delta x, y, z, t) or increase it.

Second, quantum interactions are generally random and probabilistic. At the time/place of interactions, the values of some properties take shape. The values will obey the Heisenberg Uncertainty Principle, and the value may be tightly defined or it may be loosely defined (depending on the nature of the interaction/measurement). There is nothing that prevents an interaction between 2 particles from occurring just because their positions are uncertain. It just means there are more places that interaction could occur (places where the probability of finding them at the same time overlap).
 
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DrChinese said:
Great question. First, quantum objects have properties at all times. Those properties do not have definite values prior to measurement. For example: a free neutron may have a position of X+/-dx, Y+/-dy, Z+/-dz at time T+/-dt. A suitable measurement can either reduce the position uncertainty (the delta x, y, z, t) or increase it.

Second, quantum interactions are generally random and probabilistic. At the time/place of interactions, the values of some properties take shape. The values will obey the Heisenberg Uncertainty Principle, and the value may be tightly defined or it may be loosely defined (depending on the nature of the interaction/measurement). There is nothing that prevents an interaction between 2 particles from occurring just because their positions are uncertain. It just means there are more places that interaction could occur (places where the probability of finding them at the same time overlap).
Thanks, DrChinese. That makes things clearer. My mistake was equating ‘properties’ with ‘definite values’. Interaction requires the former but not the latter.
 
Joseph Flatt said:
Summary:: How can the environment interact with a quantum object with no definite properties?

How can a quantum object interact with its environment before it has any definite properties? It seems like a ‘chicken and egg’ scenario to me. I can’t see how anything could interact with a quantum object which has only potential properties (what is there to interact with?), yet if I’ve understood things correctly, a quantum object gains definite properties only through interaction. Is it assumed that there are properties that quantum objects always have? Or (more likely), am I missing something obvious?
Well, what properties a quantum system has or hasn't is really just interpretation.

If you think of the results of measurement as describing the properties of a quantum object, then yes you would be right.

But you could just as much assume something like the wave function to describe the actual properties of a quantum object. Then it would have definite properties and values at all times - but then measurement would be an inadequate method to retrieve them only giving very vague ideas about the original state. In fact, it would barely count as a measurement since its results would only tell you what it changed the state into with nothing more then an indication of what the state previously really was. But it would the the best thing we have, so yeah.

There are more interpretations around, if you don't like both answers above. There is no consensus answer to your question and no interpretation changes the ultimate results you get from the math anyway, so you can pick the one you can make the most sense of. Or the one most you find the most intriguing/exiting. The question really is what your mind can best work with as it is meaningless in terms how the world really works.
 
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Killtech said:
There is no consensus answer to your question and no interpretation changes the ultimate results you get from the math anyway, so you can pick the one you can make the most sense of. Or the one most you find the most intriguing/exciting. The question really is what your mind can best work with as it is meaningless in terms how the world really works.
Well, if there‘s a ‘way the world works’ and I’m part of the world, presumably the world will be picking an interpretation for me anyway, so I don’t need to bother.
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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