The mathematical formulation of quantum mechanics describes physical systems in terms of abstract mathematical structures and principles. The two primary formulations of quantum mechanics are the wave mechanics formulated by Schrödinger and the matrix mechanics developed by Heisenberg, which were later unified in the framework of quantum theory.
Articles by others on the same topic
Mathematical formulation of quantum mechanics by 
Ciro Santilli 37 Updated 2025-06-17 +Created 1970-01-01
Ciro Santilli 37 Updated 2025-06-17 +Created 1970-01-01These are the key mathematical ideas to understand!!
There are actually a few formulations out there. By far the dominant one as of 2020 has been the Schrödinger picture, which contrasts notably with the Heisenberg picture.
Another well known one is the de Broglie-Bohm theory, which is deterministic, but non-local.