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Let's say we have an atom with three electrons in the lowest energy states. So two electrons are at energy level 1 and one at energy level 2. Now we measure the positions of those electrons, and found three positions $x_1,x_2,x_3$.

Can we know whether the electron found at a position, say $x_1$, was an electron with energy level 1 or 2?

I know about those antisymmetric state things, no need to explain from there.

Somewhat related:

Making indistinguishable particles distinguishable?

The electrons in atom are not far away so I think we may not be able to tell if a particle found was in lower or higher energy state.

Edit: Allow me to clarify. I saw someone wrote "the electron in 2s orbital might sometimes be closer to the nucleus that the electron in 1s orbital". How true is this statement? Can we even know if an electron was in 2s orbital and not 1s when we find that electron somewhere in space?

Let's say we have an atom with three electrons in the lowest energy states. So two electrons are at energy level 1 and one at energy level 2. Now we measure the positions of those electrons, and found three positions $x_1,x_2,x_3$.

Can we know whether the electron found at a position, say $x_1$, was an electron with energy level 1 or 2?

I know about those antisymmetric state things, no need to explain from there.

Somewhat related:

Making indistinguishable particles distinguishable?

The electrons in atom are not far away so I think we may not be able to tell if a particle found was in lower or higher energy state.

Edit: Allow me to clarify. I saw someone wrote "the electron in 2s orbital might sometimes be closer to the nucleus that the electron in 1s orbital". How true is this statement? Can we even know if an electron was in 2s orbital and not 1s when we find that electron somewhere in space?

Edit 2: And yes, I know the whole thing about wave function and radial position probability. Don't start explaining this part. My real question is, upon finding an electron in this three-electron system, do we know if the electron we found was in 1s state or 2s state before we find it?

Let's say we have an atom with three electrons in the lowest energy states. So two electrons are at energy level 1 and one at energy level 2. Now we measure the positions of those electrons, and found three positions $x_1,x_2,x_3$.

Can we know whether the electron found at a position, say $x_1$, was an electron with energy level 1 or 2?

I know about those antisymmetric state things, no need to explain from there.

Somewhat related:

Making indistinguishable particles distinguishable?

The electrons in atom are not far away so I think we may not be able to tell if a particle found was in lower or higher energy state.

Edit: Allow me to clarify. I saw someone wrote "the electron in 2s orbital might sometimes be closer to the nucleus that the electron in 1s orbital". Is this statement true? Can we even know if an electron was in 2s orbital and not 1s when we find that electron somewhere in space?

Let's say we have an atom with three electrons in the lowest energy states. So two electrons are at energy level 1 and one at energy level 2. Now we measure the positions of those electrons, and found three positions $x_1,x_2,x_3$.

Can we know whether the electron found at a position, say $x_1$, was an electron with energy level 1 or 2?

I know about those antisymmetric state things, no need to explain from there.

Somewhat related:

Making indistinguishable particles distinguishable?

The electrons in atom are not far away so I think we may not be able to tell if a particle found was in lower or higher energy state.

Edit: Allow me to clarify. I saw someone wrote "the electron in 2s orbital might sometimes be closer to the nucleus that the electron in 1s orbital". How true is this statement? Can we even know if an electron was in 2s orbital and not 1s when we find that electron somewhere in space?

Let's say we have an atom with three electrons in the lowest energy states. So two electrons are at energy level 1 and one at energy level 2. Now we measure the positions of those electrons, and found three positions $x_1,x_2,x_3$.

Can we know whether the electron found at a position, say $x_1$, was an electron with energy level 1 or 2?

I know about those antisymmetric state things, no need to explain from there.

Somewhat related:

Making indistinguishable particles distinguishable?

The electrons in atom are not far away so I think we may not be able to tell if a particle found was in lower or higher energy state.

Let's say we have an atom with three electrons in the lowest energy states. So two electrons are at energy level 1 and one at energy level 2. Now we measure the positions of those electrons, and found three positions $x_1,x_2,x_3$.

Can we know whether the electron found at a position, say $x_1$, was an electron with energy level 1 or 2?

I know about those antisymmetric state things, no need to explain from there.

Somewhat related:

Making indistinguishable particles distinguishable?

The electrons in atom are not far away so I think we may not be able to tell if a particle found was in lower or higher energy state.

Edit: Allow me to clarify. I saw someone wrote "the electron in 2s orbital might sometimes be closer to the nucleus that the electron in 1s orbital". Is this statement true? Can we even know if an electron was in 2s orbital and not 1s when we find that electron somewhere in space?