In 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.
Barbieri, G., Spera, M., A Clebsch portrait for Schrödinger’s theory, <<THE EUROPEAN PHYSICAL JOURNAL PLUS>>, 2024; 139 (8): 1-8. [doi:10.1140/epjp/s13360-024-05466-8] [https://hdl.handle.net/10807/287456]
A Clebsch portrait for Schrödinger’s theory
Spera, Mauro
Secondo
2024
Abstract
In 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.
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