Does the Nucleus Have a Wave Function?

calvinjhfeng
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I was wondering why is the nucleus willing to confine itself in one place while the electrons are free to appear anywhere around the nucleus within the orbital.

Electrons have this wave function, is there one for the nucleus?
 
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Yes, there is indeed a nuclear wavefunction. It is just very much smaller in space than the electron wavefunction, because the nucleons attract each other very strongly through nuclear forces, whereas the electrons are attracted to the nucleus by much weaker electromagnetic forces.
 
Well in theory everything has a probability distribution throughout all of real space, the thing is the nucleus' probability distribution is very localized compared to that of an electron. Take for example the lowest energy state of the hydrogen atom, the wave function is localized to region of radius close to the bohr radius, even when compared to such small distances, the nucleus can still be viewed as point-localized
 
Also since the electron is about 1800 times lighter than a single particle in the nucleus, it will travel a lot further when being subjected to the same field fluctuation as the nucleus.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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