I What is this notation D|(n;n')|, and how to solve it?

[K-Manu]

TL;DR

Meaning of the notation for calculating the intensity of diatomic molecules.

I'm a beginner in the quantum mechanic and reading E. hill's paper explaining the intensity distribution of the doublet state for diatomic molecule (D->P).
To calculate the intensities, D|(n;n')| and/or q(n,a,j;n'a',j') must be calculated, but I have never seen it before in linear algebra/quantum mechanics.
What is the notation meaning, and how to calculate it?

*D|(n;n')| is suggested to include transitions in the vibrational and electronic quantum number and n is the totality of the quantum number as mentioned in the paper.Reference
1) https://journals.aps.org/pr/abstract/10.1103/PhysRev.32.250
2) https://www.pnas.org/doi/pdf/10.1073/pnas.15.10.779

 

[DrClaude]

These papers are from 1928 and 1929. The knowledge of the spectra of diatomic molecules has evolved a lot since then. I suggest you look at more recent resources: Herzberg's Spectra of Diatomic Molecules from 1950 is already much more modern. Another good reference is Bransden and Joachain, Physics of Atoms and Molecules.

 

[K-Manu]

These papers are from 1928 and 1929. The knowledge of the spectra of diatomic molecules has evolved a lot since then. I suggest you look at more recent resources: Herzberg's Spectra of Diatomic Molecules from 1950 is already much more modern. Another good reference is Bransden and Joachain, Physics of Atoms and Molecules.

I read the books which you recommanded.
But, E. Hill is who found the ways to calculate the intensities of diatomic molecules.
Thus, I need to understand his paper, not other.
Thank you for answer.

 

[berkeman]

But, E. Hill is who found the ways to calculate the intensities of diatomic molecules.
Thus, I need to understand his paper, not other.

Why? What is your end game? If it is to write a book about the historical development of this area of science, then okay. But if you are trying to understand reality as understood today, why would you burn so many of your intellectual cycles with old perspectives?