Yes. My question was more along the lines of if physicists found this formulation useful. You have to admit that while mathematicians may not be constrained by usefulness, physics is largely dependent on abstract mathematics, while mathematics holds no such tie to physics.
I ran across a paper today that I found rather interesting. The idea is that "there exists a geometry description other than the conventional description in a Hilbert space...". The gist of the paper is that the quantum phase space can be viewed as a complex projective space if the dimensions of...