A Clebsch portrait for Schrödinger’s theory

Author:

Barbieri Gabriele,Spera MauroORCID

Abstract

AbstractIn this note we pursue the investigation initiated in Spera M (in: Nielsen, Barbaresco, (eds) Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science, Springer, Cham, 2023) by addressing geometric and topological issues concerning the zero set of the wave function, provided it is a knot in 3-space. Since, the standard Madelung velocity breaks down thereat, it is necessary to resort to the Clebsch geometry of the probability current shown in the above paper. This leads to considering several tightly interknit symplectic manifolds.

Funder

Università Cattolica del Sacro Cuore

Publisher

Springer Science and Business Media LLC

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