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Publication - Dr Roman Schubert

    Non-Hermitian propagation of Hagedorn wavepackets

    Citation

    Lasser, C, Schubert, R & Troppmann, S, 2018, ‘Non-Hermitian propagation of Hagedorn wavepackets’. Journal of Mathematical Physics, vol 59.

    Abstract

    We investigate the time evolution of Hagedorn wavepackets by non-Hermitian quadratic Hamiltonians. We state a direct connection between coherent states and Lagrangian frames. For the time evolution, a multivariate polynomial recursion is derived that describes the activation of lower lying excited states, a phenomenon unprecedented for Hermitian propagation. Finally we apply the propagation of excited states to the Davies-Swanson oscillator.

    Full details in the University publications repository