On the tomographic picture of quantum mechanics

DOI10.1016/j.physleta.2010.04.056zbMath1237.81043arXiv1004.0102OpenAlexW2025737868MaRDI QIDQ415108

Vladimir I. Man'ko, A. Simoni, Franco Ventriglia, Giuseppe Marmo, Alberto Ibort

Publication date: 11 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0102

zbMATH Keywords

probability measuresWeyl-Heisenberg groupquantum tomogramssymplectic tomograms

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Quantum state estimation, approximate cloning (81P50)

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Steering in spin tomographic probability representation ⋮ Phase space Schrödinger equation and quadratic friction ⋮ CLASSICAL AND QUANTUM FREE MOTIONS IN THE TOMOGRAPHIC PROBABILITY REPRESENTATION ⋮ Symplectic field theories: scalar and spinor representations ⋮ On the tomographic description of classical fields ⋮ Quantum field theory in phase space ⋮ The Lagrangian Radon transform and the Weil representation ⋮ Quantum tomography and the quantum Radon transform ⋮ Conditions for quantum and classical tomogram-like functions to describe system states and to retain normalizations during time evolution

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