# I Hydrogen ion molecule

#### orisomech

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:

what do you think?

Related Atomic and Condensed Matter News on Phys.org

#### TeethWhitener

Gold Member
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.

"Hydrogen ion molecule"

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving