110 research outputs found

    WKB Propagation of Gaussian Wavepackets

    Full text link
    We analyze the semiclassical evolution of Gaussian wavepackets in chaotic systems. We prove that after some short time a Gaussian wavepacket becomes a primitive WKB state. From then on, the state can be propagated using the standard TDWKB scheme. Complex trajectories are not necessary to account for the long-time propagation. The Wigner function of the evolving state develops the structure of a classical filament plus quantum oscillations, with phase and amplitude being determined by geometric properties of a classical manifold.Comment: 4 pages, 4 figures; significant improvement

    Phase Space Structure of Generalized Gaussian Cat States

    Full text link
    We analyze generalized Gaussian cat states obtained by superposing arbitrary Gaussian states, e.g., a coherent state and a squeezed state. The Wigner functions of such states exhibit the typical pair of Gaussian hills plus an interference term which presents a novel structure, as compared with the standard superposition of coherent states (degenerate case). We prove that, in any dimensions, the structure of the interference term is characterized by a particular quadratic form; in one degree of freedom the phase is hyperbolic. This phase-space structure survives the action of a thermal reservoir. We also discuss certain superpositions of {\em mixed} Gaussian states generated by conditional Gaussian operations or Kerr-type dynamics on thermal states.Comment: 12 pages, 6 figures, submitted to Physical Review

    [s.t.]

    No full text
    Aus der Sammlung des Leo Baeck Institute, digitalisiert in Kooperation mit dem Center for Jewish History, N

    Nationaljudenthum ein Wahnjudenthum! : ein Wort zur Verständigung

    No full text
    von Raphael BreuerAus der Sammlung des Leo Baeck Institute, digitalisiert in Kooperation mit dem Center for Jewish History, N

    Das Buch Josua

    No full text
    übers. und erläutert von Raphael BreuerText in hebr. Schr. und Sprache mit dt. Übers., dt. Komm
    • …
    corecore