Questions about the position of the particle

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    Particle Position
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Discussion Overview

The discussion revolves around the concept of a particle's position in quantum mechanics, specifically addressing the idea of a particle existing in multiple states or locations simultaneously. Participants explore the implications of quantum mechanics on the understanding of particle position, including the role of measurement and the interpretation of wave functions.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants question how a particle can be in two different states or places at the same time.
  • One participant suggests that a particle may have indeterminate positions when not observed.
  • Another participant argues against the notion of a particle being in two places at once, stating that quantum mechanics does not support this interpretation.
  • It is proposed that a more accurate description is that a particle isn't located anywhere until its position is measured.
  • A participant expresses uncertainty about how to articulate the situation of a particle's position in layman's terms, considering various interpretations of its existence and position.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of a particle's position in quantum mechanics. While some agree on the challenges of conveying these concepts accurately, there is no consensus on the implications of a particle being in multiple states or the nature of its position.

Contextual Notes

Participants note that understanding the mathematical framework of quantum mechanics is necessary to grasp the nuances of particle position, which may not be easily conveyed in simple terms.

SLSPS
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TL;DR
Questions about the position of the particle
How is it possible for a particle to be in two different states/places at the same instant?
 
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SLSPS said:
Summary: Questions about the position of the particle

How is it possible for a particle to be in two different states/places at the same instant?
It's not,
 
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SLSPS said:
How is it possible for a particle to be in two different states/places at the same instant?
Although you’ll often hear it described that way, quantum mechanics doesn’t really say that a particle is in two places at once. Unfortunately, knowing what it does say requires a fair amount of math so people will often fall back on this misleading “two places at once” story when they’re trying to explain QM to a non-technical audience.

It would be more accurate to say that the particle isn’t anywhere unless and until we measure its position.
 
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Nugatory said:
It would be more accurate to say that the particle isn’t anywhere unless and until we measure its position.
Are you sure you don't want to work on that sentence a bit more? :oldbiggrin:
 
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At time t between the two observations of particle positions, probability amplitude or wave function or state vector of the particle is defined in all the space as ##\psi(\mathbf{r},t)## the normalization property of which is
\int \int \int \psi(\mathbf{r},t)^* \psi(\mathbf{r},t) dV=1

I am not good at literature how to describe this situation in daily words, e.g. the particle has no position, the particle exists but without position, the particle has multiple positions or the concept of particle position is not applicable here.
 
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Nugatory said:
Although you’ll often hear it described that way, quantum mechanics doesn’t really say that a particle is in two places at once. Unfortunately, knowing what it does say requires a fair amount of math so people will often fall back on this misleading “two places at once” story when they’re trying to explain QM to a non-technical audience.

It would be more accurate to say that the particle isn’t anywhere unless and until we measure its position.
Thanks. I understood
 

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