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Physics Letters A

From free-evolution to symplectic quantum tomographic representation

Sergio Cordero, Ramón López–Peña, Eduardo Nahmad-Achar, Octavio Castaños, Julio A. López-Saldívar, Vladimir I. Man’ko

Published Jan 17, 2026• 0 citations
Publisher
DOI
10.1016/j.physleta.2026.131381

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The gauge invariance of the evolution equations of tomographic probability distribution functions of quantum particles in an electromagnetic field is illustrated. Explicit expressions for the transformations of ordinary tomograms of states under a gauge transformation of electromagnetic field potentials are obtained. Gauge-independent optical and symplectic tomographic quasi-distributions and tomographic probability distributions of states of quantum system are introduced, and their evolution equations having the Liouville equation in corresponding representations as the classical limit are found.
Abstract The gauge invariance of the evolution equations of tomographic probability distribution functions of quantum particles in an electromagnetic field is illustrated. Explicit expressions for the transformations of ordinary tomograms of states under a gauge transformation of electromagnetic field potentials are obtained. Gauge-independent optical and symplectic tomographic quasi-distributions and tomographic probability distributions of states of quantum system are introduced, and their evolution equations have the Liouville equation in corresponding representations as the classical limits are found.