Schrödinger Equation for the fusion of Deuterium(2H) and a Proton(H)

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SUMMARY

The discussion focuses on applying the Schrödinger Equation to the fusion of Deuterium (2H) and a Proton (H). Participants emphasize the necessity of using a spherical Coulomb potential to model the electron's interaction with the proton. Additionally, they mention that while the functional form of the strong force interaction can theoretically be derived from Quantum Chromodynamics (QCD), it is not crucial for practical applications. Instead, they suggest using a muffin tin potential combined with a Coulomb potential to approximate the system effectively.

PREREQUISITES
  • Understanding of Schrödinger's Equation
  • Familiarity with spherical Coulomb potentials
  • Basic knowledge of Quantum Chromodynamics (QCD)
  • Concept of muffin tin potentials in quantum mechanics
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  • Study the principles of Quantum Chromodynamics (QCD) and its implications for particle interactions
  • Explore the concept of muffin tin potentials and their use in nuclear physics
  • Investigate interaction cross sections and energy eigenvalues in quantum systems
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Students and researchers in quantum mechanics, nuclear physics, and anyone interested in the theoretical modeling of particle fusion processes.

Viridun
In fact I am not sure if this is the right place to ask such a question but I'm going to ask anyways, just tell me if I am in the wrong place.
So I doing a little experiment with the Schröndinger's equation, but the problem is I can't find a certain function.
You all know the Schrödingers equation has variable for a function V(x) in the differential equation.

Now i need a specific one I need the one for the fusion of Deuterium(2H) and a Proton(H), but I can't find it anywhere.

Can anyone help me ?
 
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The electron is just a charged particle in the electric field of the proton, so you need a spherical Coulomb potential. If that's not useful for you then you may as well stop trying and instead learn about electromagnetism :)
 
Gigaz said:
The electron is just a charged particle in the electric field of the proton, so you need a spherical Coulomb potential. If that's not useful for you then you may as well stop trying and instead learn about electromagnetism :)
I know that one, and I also know how the function of that one looks, my problem is that I don't know how to get this together with the function of the strong force.
 
Ah I see, I think I read something wrong, my apologies.
The functional form of the proton-proton or proton-neutron interaction could in principle be derived from QCD if you have a really good computer. I don't think that it is known, and it is also ultimately not important. The important quantities are interaction cross sections and energy eigenvalues. Sounds funny when you do something like Quantum mechanics I at university level. But a muffin tin potential, where you have a constant very low energy around the nucleus, a wall, and a Coulomb potential outside, that approach is as good as any other.
 
Gigaz said:
Ah I see, I think I read something wrong, my apologies.
The functional form of the proton-proton or proton-neutron interaction could in principle be derived from QCD if you have a really good computer. I don't think that it is known, and it is also ultimately not important. The important quantities are interaction cross sections and energy eigenvalues. Sounds funny when you do something like Quantum mechanics I at university level. But a muffin tin potential, where you have a constant very low energy around the nucleus, a wall, and a Coulomb potential outside, that approach is as good as any other.

I probably didn't express myself to well with english not being my mother language.
 

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