The power of abstraction

I'm a physicist working in computational condensed matter physics. What I've always loved about my field is using high-level abstraction to solve problems. For example, in my case, i want to solve Schrodinger's equation for 2d and 3d spìn topologies for non-markovian, highly correlated systems. My research focus is to solve said equations by analyzing Riemannian manifolds of one-body, two-body, etc. many-body operators, optimizing some set of parameters acording to some suitable cost-function and doing projections to simpler spaces or groups by the means of convex optimization theory.