Where do electrons go (?) within a covalent bond

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"Where" do electrons "go"(?) within a covalent bond

If you take a water molecule (H-O-H) with 2 covalent bonds (imagine, just for now, that this is the only 2 atoms around ;-).

The H’s electron and one of the O’s electrons (within the covalent bond) must be “somewhere”.

They were originally in an atomic orbital around their own nucleus.
But where are they “after the bond has formed”.

Do they orbit the whole molecule or do they continue to orbit their own (original) nuclei?
How is the bond formed (a sort of glue type analogy) – what actually makes the atoms “stick” ?

Thank you
 
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Thank you.
The link to the PDF was very helpful.
I think I understand it now - the atom's electrons (in a quantum sense) are wavelike and in a covalent bond the waves merge electromagnetically due to polarity of (in this case) the H-O-H, and it is the merged waves that "stick/glue" the H to the O due to "opposits attract" - as the electron wave/particles now spend more time between the nuclie than elsewhere as each electron is attracted to the other nuclius (so the H electron to the O nuclius, and the O electron to the H nuclius).

I hope I have it ?
(the last time I did physics was over 30 years ago - it may take some time to come back ;-)
 

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