Canceling spin-dependent contributions and systematic shifts in precision spectroscopy of molecular hydrogen ions

@article{Schiller2018CancelingSC,
  title={Canceling spin-dependent contributions and systematic shifts in precision spectroscopy of molecular hydrogen ions},
  author={Stephan Schiller and Vladimir I. Korobov},
  journal={Physical Review A},
  year={2018}
}
We consider the application of a basic principle of quantum theory, the tracelessness of a certain class of hamiltonians, to the precision spectroscopy of the molecular hydrogen ions. We show that it is possible to obtain the spin-averaged transition frequencies between states from a simple weighted sum of experimentally accessible spin-dependent transition frequencies. We discuss the cases ${\rm H}_{2}^{+}$ and ${\rm HD}^{+}$, which are distinct in the multipole character of their… 

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