Entire quantum physics is a mathematical model of physical things by definition. Quantum wave function is a physical object as are all the other fundamental fields we know about. Photons behave in very physical ways, just not in classical ways like you would expect them based on experience with macroscopic objects we face every day. Likewise, bosons are physical objects that have physical and measurable/observable properties (but they don't have volume) etc.
So now you are getting a bit confused here.