Why Don't Electrons Collide in Orbit?

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SUMMARY

Electrons do not collide in orbit due to their quantum mechanical properties, specifically their spin quantum numbers of +1/2 and -1/2, which indicate their intrinsic angular momentum rather than directional movement. Electrons are fermions that experience exchange forces, preventing them from occupying the same quantum state, defined by four quantum numbers: energy, total angular momentum, orbital angular momentum, and spin angular momentum. The repulsive electric forces between electrons increase infinitely as their distance approaches zero, further preventing collisions.

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koolraj
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As explained by Max Plank for every orbit having two electrons in
it, have 2 spins quantum numbers. And they are always 1/2 and
-1/2.It just means that the two electrons move in opposite
directions in orbit. Then why don’t they collide?
 
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No it was not Planck.

Secondly, the spins does not mean that they move in opposite directions.

Third, electrons does not orbit around the atomic nucleus as planets around the sun.
 
Everything malawi_glenn says is true. Electrons are point like particles which exert repulsive electric forces. As the distance between the electrons goes to zero, the repulsive force becomes infinite. In addition to the electromagnetic forces, electrons are fermions (spin 1/2) and so they experience a purely quantum mechanical effect called an exchange force which prevents them from being "in the same state." The tricky thing is that, in quantum mechanics, being in the same statedoes not mean being in the same position. Electron states in an atom are determined by four numbers, which are usually chosen to be energy, total anular momentum, orbital anglar momentum in one direction, and spin angular momentum in one direction. Exchange forces prevent any two electrons from having the same four numbers, and this is why two electrons ith the same energy and angular momentum must have different spins.

Edit: Sorry for the typos, keyboard problems.
 
I received this message:

malawi_glenn said:
koolraj said:
so, if the spins does not mean that they move in opposite directions, then what does spin qauntum numbers signify(+1/2 and -1/2)?

Ask in the forum...

The spin quantum numbers in the classical sense is that of a sphere spinning around its own axis... Spin +1/2 is then spinning in the righthand way, and -1/2 lefthand way.
 
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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