Related papers: Generalized Marginals of tie -Wigner Distribution nand Lagrangian Tomography

Generalized Marginals of tie -Wigner Distribution nand Lagrangian Tomography

URL: http://arxiv.org/abs/2608.00751v1
Date: Sat, 01 Aug 2026 16:35:39 GMT
Title: Generalized Marginals of tie -Wigner Distribution nand Lagrangian Tomography
Abstract summary: We develop a symplectic formulation of the Lagrangian Radon transform based on the action of the symplectic group on the Lagrangian Grassmannian.<n>This geometric framework naturally extends the classical notion of the marginals of the Wigner transform, viewed as elementary tomograms, to arbitrary Lagrangian subspaces.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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