I know the difference between mathematicians and theoretical physicists can be small, but I think that categorization is valid.
To verify my intuition, I checked Wikipedia. It calls
- Liouville a mathematician and engineer (https://en.wikipedia.org/wiki/Joseph_Liouville)
- Hamílton a mathematician, astronomer and physicist (https://en.wikipedia.org/wiki/William_Rowan_Hamilton)
- Schrödinger a physicist (https://en.wikipedia.org/wiki/Erwin_Schrödinger)
- Heisenberg a theoretical physicist (https://en.wikipedia.org/wiki/Werner_Heisenberg)
I know the difference between mathematicians and theoretical physicists can be small, but I think that categorization is valid.
To verify my intuition, I checked Wikipedia. It calls
- Liouville a mathematician and engineer (https://en.wikipedia.org/wiki/Joseph_Liouville)
- Hamílton a mathematician, astronomer and physicist (https://en.wikipedia.org/wiki/William_Rowan_Hamilton)
- Schrödinger a physicist (https://en.wikipedia.org/wiki/Erwin_Schrödinger)
- Heisenberg a theoretical physicist (https://en.wikipedia.org/wiki/Werner_Heisenberg)