Quaternionic Madelung transformation and non-Abelian fluid dynamics.

Love, Peter J.

Boghosian, Bruce M.


  • 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" variables for the quaternionic Madelung transformation. In order to find equations of motion for these quan... read more
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  • Love, Peter J, and Bruce M Boghosian. "Quaternionic Madelung Transformation and Non-Abelian Fluid Dynamics." Physica A: Statistical Mechanics and Its Applications 332 (February 2004): 47-59. doi:10.1016/j.physa.2003.09.055.
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