The momentum‐space wave functions have been obtained for the one‐dimensional hydrogen atom and the symmetric and antisymmetric states of the one‐dimensional hydrogen molecule ion with δ‐function interactions between the particles. The uncertainty relation has been evaluated as a function of the distance between the nuclei in the molecule ion. For the symmetric state this is finite for the collapsed molecule. For the antisymmetric state the energy is positive for a nuclear separation less than a0=ℏ2/me2 and the uncertainty in the position of the electron is infinite.
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© 1983 American Association of Physics Teachers.
1983
American Association of Physics Teachers
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