On Hilbert-Schmidt operator formulation of noncommutative quantum mechanics

DOI10.1007/978-3-319-97175-9_3zbMath1425.81050arXiv1705.10837OpenAlexW2618146573MaRDI QIDQ2002190

Ezinvi Baloïtcha, Komi Sodoga, Isiaka Aremua, Mahouton Norbert Hounkonnou

Publication date: 11 July 2019

Full work available at URL: https://arxiv.org/abs/1705.10837

zbMATH Keywords

operator algebranoncommutative quantum mechanicsmodular theory

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Applications of selfadjoint operator algebras to physics (46L60) Statistical mechanics of solids (82D20) Coherent states (81R30) Molecular physics (81V55) Operator algebra methods applied to problems in quantum theory (81R15) Operator ideals (47L20) Open systems, reduced dynamics, master equations, decoherence (81S22)

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Unitary maps on Hamiltonians of an electron moving in a plane and coherent state construction ⋮ Density operator representation in multi-matrix vector coherent states: Landau problem in a harmonic potential background ⋮ Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system

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