• 제목/요약/키워드: spin $\frac{1}{2}$-representation

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HEISENBERG GROUPS - A UNIFYING STRUCTURE OF SIGNAL THEORY, HOLOGRAPHY AND QUANTUM INFORMATION THEORY

  • Binz, Ernst;Pods, Sonja;Schempp, Walter
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.1-57
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    • 2003
  • Vector fields in three-space admit bundles of internal variables such as a Heisenberg algebra bundle. Information transmission along field lines of vector fields is described by a wave linked to the Schrodinger representation in the realm of time-frequency analysis. The preservation of local information causes geometric optics and a quantization scheme. A natural circle bundle models quantum information visualized by holographic methods. Features of this setting are applied to magnetic resonance imaging.