How does one get hired into banking with a physics degree? For what kinds of jobs? Where I live right now you only get into banking with a economics/business degree. Anything else and your resume goes in the bin.
My experience: even when it comes to only implementing financial products, banks prefer mathematicians/physicists as software developers.
I've also hired a boatload of people with STEM degrees. In fact (massive generalisation warning) I prefer hiring them to those with computer science degrees.
But mostly, in a resume, I'm looking for 1) evidence of competence (do you know what software is and how to make it), 2) evidence of interest in the domain and 3) evidence of being able to communicate with others.
Everything else specialist can be taught / learned. You don't need to know either how to balance a tree, or how to calculate the value of an IR swap.