The Clifford Algebra approach to Quantum Mechanics A : The Schrödinger and Pauli Particles .

@inproceedings{Hiley2010TheCA,
  title={The Clifford Algebra approach to Quantum Mechanics A : The Schr{\"o}dinger and Pauli Particles .},
  author={Basil J. Hiley},
  year={2010}
}
In this paper we show how all the quantum properties of Schrödinger and Pauli particles can be described entirely from within a Clifford algebra taken over the reals. There is no need to appeal to any ‘wave function’. To describe a quantum system, we define the Clifford density element [CDE], ρc = ΦLΦ̃L, as a product of an element of a minimal left ideal, ΦL, and its Clifford conjugate. The properties of the system are then completely specified in terms of bilinear invariants of the first and… CONTINUE READING