Generalized Marginals of tie -Wigner Distribution nand Lagrangian Tomography

Abstract:We develop a symplectic formulation of the Lagrangian Radon transform based on the transitive action of the symplectic group on the Lagrangian Grassmannian. This geometric framework naturally extends the classical notion of the marginals of the Wigner transform, viewed as elementary tomograms, to arbitrary Lagrangian subspaces. The resulting generalized tomography provides a unified treatment of position and momentum measurements related by symplectic rotations. As applications, we revisit the Pauli reconstruction problem and establish reconstruction formulas for density operators from generalized Lagrangian tomograms.

Mathematical Physics (math-ph); Functional Analysis (math.FA); Symplectic Geometry (math.SG); Quantum Physics (quant-ph)

arXiv:2608.00751 [math-ph]

(or arXiv:2608.00751v1 [math-ph] for this version)

https://doi.org/10.48550/arXiv.2608.00751 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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