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.
Original language | English |
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Article number | 082102 |
Journal | Journal of Mathematical Physics |
Volume | 59 |
Issue number | 8 |
Early online date | 1 Aug 2018 |
DOIs | |
Publication status | Published - Aug 2018 |