section_path: Applications/In physics/Quantum mechanics
section_name: Quantum mechanics
paragraph_text: Quantum mechanics
  
  The complex number field is intrinsic to the mathematical formulations of quantum mechanics, where complex Hilbert spaces provide the context for one such formulation that is convenient and perhaps most standard. The original foundation formulas of quantum mechanics – the Schrödinger equation and Heisenberg's matrix mechanics – make use of complex numbers.