I Hydrogen ion molecule

  • Thread starter orisomech
  • Start date
23
3
in the book Molecular Physics of Wolfgang Demtroder, he claims for hydrogen ion molecule ##H_2 ^+## the total angular momentum in absolute value is a constant quantum number. I never saw it any other book and I think it's wrong, because there is no reason for it and he doesn't prove it. here is what he says in the book:
1566508869929.png


what do you think?
 

TeethWhitener

Science Advisor
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This all comes from Noether’s theorem. The nuclear potential in ##H_2^+## is not spherically symmetric, so the total angular momentum is not conserved. However, it is axially symmetric, so quantities associated with the axis of symmetry are conserved.
 

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