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Suppose there is half-half a mixture of an electron gas and a gas of some hypothetical particle with the same mass, spin but an opposite charge (like positrons that don't decay).

Would anyone be able to tell me how the Slater determinants combine in this case?

The HF wave function for just the electron gas would be a determinant of single-electron wave functions...

so does this mean I can construct a similar looking determinant for the positrons and add (or multiply) it to the electron gas determinant?

Any insights greatly appreciated!

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# Hartree-Fock wave function for a mixture of two oppositely charged gases

Can you offer guidance or do you also need help?

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