Alice in Quantumland: Physics Chemistry Q&A

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In the discussion, it is confirmed that there is indeed gravitational attraction between the electron and proton in a hydrogen atom, as all masses exert gravitational forces on each other. However, this gravitational force is considered negligible in the context of atomic interactions and is not included in the Hamiltonian. The primary reason for its exclusion is that gravity is the weakest of the four fundamental forces, and in subatomic physics, the energy of the particles is a more significant factor than their mass. This principle is similar to the way linear momentum of an electron is often overlooked in quantum mechanics.
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For anyone that is bored and can actually help me answer this physical chemistry question. Is there a gravitational attraction between the electron and proton in the hydrogen atom? If so, why is this not taken into account in the Hamiltonian?
 
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1. Yes. There is gravitational attractation between any two masses.

2. It's ignored because it's extremey negliegable. It's easy to calculate if you want to. Gravity is often called the weakest of the four forces.
 
in case of sub atomic particles the energy in the particles is more important factor to consider than the mass as the mass is negligible
IN THE SAME WAY WE DONT QUITE CONSIDER THE LINEAR MOMENTUM OF AN ELECTRON! http://
 
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