Questions about the position of the particle

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SUMMARY

The discussion clarifies misconceptions about particle position in quantum mechanics, specifically addressing the idea that a particle can exist in two places simultaneously. It asserts that quantum mechanics does not support this notion; rather, a particle's position is indeterminate until measured. The mathematical representation of a particle's state is described by the wave function, denoted as ##\psi(\mathbf{r},t)##, which encompasses all possible positions in space until an observation is made.

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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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