Love, Peter J; Boghosian, Bruce M - In: Physica A: Statistical Mechanics and its Applications 332 (2004) C, pp. 47-59
We find the quaternionic generalization of the Madelung transformation of the Schroedinger equation. The non-Abelian nature of the full SU(2) gauge group of the quaternionic Schroedinger equation leads to a more complex set of equations for the fluid variables. We identify the “hydrodynamic”...