Gaussian wavepacket dynamics in an anharmonic system

Vetchinkin, S. I.; Vetchinkin, A. S.; Eryomin, V.V.; Umanskii, I. M.

doi:10.1016/0009-2614(93)89255-g

Cited by 37 publications

(17 citation statements)

References 10 publications

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“…1c the phase velocity is V phase = 5c/3 by [2], and the group-envelope travels at V group = 3c/5 by [3], which is consistent with speed u = −3c/5 of the observer relative to the (SWR = 8)-standing-wave envelope in Fig. 1a.…”

Section: Two-component Nodal Dynamicsmentioning

confidence: 85%

Wave Node Dynamics and Revival Symmetry in Quantum Rotors

Harter¹

2001

Journal of Molecular Spectroscopy

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Section: Two-component Nodal Dynamicsmentioning

confidence: 85%

Wave Node Dynamics and Revival Symmetry in Quantum Rotors

Harter¹

2001

Journal of Molecular Spectroscopy

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“…Until the work of [1] it was not realized that they could evolve according to an universal scenario. For a diatomic molecule or for a symmetric rotor, the spectrum of which are quadratic in quantum number like for the systems discussed in [2,24], the universal scenario is exact and repeats with period T rev . The main question is whether the fractional wave packets are clones or just resemblant to the initial ones.…”

Section: Introductionmentioning

confidence: 99%

Clones and other interference effects in the evolution of angular-momentum coherent states

Rozmej

Arvieu²

1998

Phys. Rev. A

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The aim of this article is to present the interference effects which occur during the time evolution of simple angular wave packets (WP) which can be associated to a diatomic rigid molecule (heteronuclear) or to a quantum rigid body with axial symmetry like a molecule or a nucleus. The time evolution is understood entirely within the frame of fractional revivals discovered by Averbukh and Perelman since the energy spectrum is exactly quadratic. Our objectives are to study how these interference effects differ when there is a change of the initial WP. For this purpose we introduce a two parameter set of angular momentum coherent states. From one hand this set emerge quite naturally from the three dimensional coherent states of the harmonic oscillator, from another hand this set is shown to be buit from intelligent spin states. By varying one parameter (η) a scenario of interferences occur on the sphere at fractional times of the revival time that strongly depends on η. For η = ±1 the WP, which coincides with a WP found by Mostowski, is a superposition of Bloch or Radcliffe's states and clone exactly in time according to a scenario found for the infinite square well in one dimension and also for the two dimensional rotor. In the context of intelligent spin states it is natural to study also the evolution by changing η. For η = 0 the WP is called linear and produces in time a set of rings with axial symmetry over the sphere. The WP for other values of η are called elliptic and sets of fractional waves are generated which make a transition between two symm etries. We call 'mutants' these fractional waves. For specific times a clone is produced that stands among the mutants. Therefore the change in η produces novel change in the quantum spread on the sphere. We have also constructed simple coherent states for a symmetric rotor which are applicable to molecules and nuclei. Their time evolution also shows a cloning mechanism for the rational ratio of moments of inertia. For irrational values of this ratio, the scenario of partial revivals completed by Bluhm, Kostelecky and Tudose is valid.

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“…A wave packet is excited deep in the potential well where dispersion due to the anharmonicity of the potential curve is minimal. The subsequent reappearance of the oscillatory signal with maximum amplitude at about 13 ps ("full revival") results from partial rephasing of the wave packet and is determined by the anharmonicity of the potential [16,44,45]. Moreover, at that wavelength the excitation energy falls below the threshold for predissociation along the B-state.…”

Section: The Highest Contrast Of the Wave Packet Oscillation In Both LIImentioning

confidence: 99%

Predissociation dynamics of lithium iodide

Schmidt

Vangerow

Stienkemeier

et al. 2015

The Journal of Chemical Physics

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The predissociation dynamics of lithium iodide (LiI) in the first excited A-state is investigated for molecules in the gas phase and embedded in helium nanodroplets, using femtosecond pumpprobe photoionization spectroscopy. In the gas phase, the transient Li + and LiI + ion signals feature damped oscillations due to the excitation and decay of a vibrational wave packet. Based on high-level ab initio calculations of the electronic structure of LiI and simulations of the wave packet dynamics, the exponential signal decay is found to result from predissociation predominantly at the lowest avoided X-A potential curve crossing, for which we infer a coupling constant VXA = 650 (20) cm −1 . The lack of a pump-probe delay dependence for the case of LiI embedded in helium nanodroplets indicates fast droplet-induced relaxation of the vibrational excitation.

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Gaussian wavepacket dynamics in an anharmonic system

Cited by 37 publications

References 10 publications

Wave Node Dynamics and Revival Symmetry in Quantum Rotors

Wave Node Dynamics and Revival Symmetry in Quantum Rotors

Clones and other interference effects in the evolution of angular-momentum coherent states

Predissociation dynamics of lithium iodide

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