<p>Quantum dynamics is the study of time-dependent phenomena in fundamental processes of atomic and molecular systems. This thesis focuses on systems where nature reveals its quantum aspect; e.g. in vibrational resonance structures, in wave packet revivals and in matter wave interferometry. Grid based numerical methods for solving the time-dependent Schrödinger equation are implemented for simulating time resolved molecular vibrations and to compute photo-electron spectra, without the necessity of diagonalizing a large matrix to find eigenvalues and eigenvectors.</p><p>Pump-probe femtosecond laser spectroscopy on the sodium potassium molecule, showing a vibrational period of 450 fs, is theoretically simulated. We find agreement with experiment by inclusion of the finite length laser pulse and finite temperature effects.</p><p>Complicated resonance structures observed experimentally in photo-electron spectra of hydrogen- and deuterium chloride is analyzed by a numerical computation of the spectra. The dramatic difference in the two spectra arises from non-adiabatic interactions, i.e. the interplay between nuclear and electron dynamics. We suggest new potential curves for the 3²Σ⁺ and 4²Σ⁺ states in HCI⁺.</p><p>It is possible to guide slow atoms along magnetic potentials like light is guided in optical fibers. Quantum mechanics dictates that matter can show wave properties. A proposal for a multi mode matter wave interferometer on an atom chip is studied by solving the time-dependent Schrödinger equation in two dimensions. The results verifies a possible route for an experimental realization.</p><p>An improved representation for wave functions using a discrete set of coherent states is presented. We develop a practical method for computing the expansion coefficients in this non-orthogonal set. It is built on the concept of frames, and introduces an iterative method for computing a representation of the identity operator. The phase-space localization property of the coherent states gives adaptability and better sampling efficiency.</p>

Quantum dynamics is the study of time-dependent phenomena in fundamental processes of atomic and molecular systems. This thesis focuses on systems where nature reveals its quantum aspect; e.g. in vibrational resonance structures, in wave packet revivals and in matter wave interferometry. Grid based numerical methods for solving the time-dependent Schrödinger equation are implemented for simulating time resolved molecular vibrations and to compute photo-electron spectra, without the necessity of diagonalizing a large matrix to find eigenvalues and eigenvectors. Pump-probe femtosecond laser spectroscopy on the sodium potassium molecule, showing a vibrational period of 450 fs, is theoretically simulated. We find agreement with experiment by inclusion of the finite length laser pulse and finite temperature effects. Complicated resonance structures observed experimentally in photo-electron spectra of hydrogen- and deuterium chloride is analyzed by a numerical computation of the spectra. The dramatic difference in the two spectra arises from non-adiabatic interactions, i.e. the interplay between nuclear and electron dynamics. We suggest new potential curves for the 32Σ+ and 42Σ+ states in HCI+. It is possible to guide slow atoms along magnetic potentials like light is guided in optical fibers. Quantum mechanics dictates that matter can show wave properties. A proposal for a multi mode matter wave interferometer on an atom chip is studied by solving the time-dependent Schrödinger equation in two dimensions. The results verifies a possible route for an experimental realization. An improved representation for wave functions using a discrete set of coherent states is presented. We develop a practical method for computing the expansion coefficients in this non-orthogonal set. It is built on the concept of frames, and introduces an iterative method for computing a representation of the identity operator. The phase-space localization property of the coherent states gives adaptability and better sampling efficiency.

Les processus de transfert de charge sont très importants dans de nombreux domaines de la physique et de la chimie. Ils interviennent en particulier dans la conception ds plasmas astrophysiques ainsi que des plasmas de fusion. Les particules secondaires, électrons lents ou ions, générés le long du trajet des radiations jouent également un rôle crucial dans l’action des radaitions sur le milieu biologique, en relation en particulier avec les traitements du cancer. Il est donc fondamental d’avoir une connaissance approfondie des mécanismes mis en jeu dans ce type de processus, à l’échelle moléculaire. Pour cela, nous avons étudié dans cette thèse deux systèmes voisins, la collision des ions C2+ avec les molécules HF et HCI afin d’ananllyser en détail le mécanisme de transfert de charge dans ces deux réactions en d’en déduire des éléments permettant d’avoir une vue plus générals de ce type de processus. Nous nous sommes en particulier intéressés à l’anisotropie de la réaction de transfert de charge ainsi qu’aux effets dus à la vibration de la molécule diatomique cible lors de la collision. Une étude comparée des ces deux système a montré un mécanisme différent dans chaque cas liés aux interactions non-adiabatiques mises en jeu / Collisiosns of slow multiply charged ions with molecular species have been widely investigated in the past few years. Imortant experimental and theoretical effort has been focused on reactions with simple targets. Consideration of more complex molecular targets are now of increasing interest, in particular with regardto possible direect or indirect processes occuring in the irradiation of the biological medium.. In these reactions generally at relativity low energies, different processes have to be considered: exitation and fragmentation on the molecule, ionization of the gaseous target, and also possible charge transfer from the multicharged ion toward the biomolecule..Charge transfer can be investigated theoretically in the framework of the molecular representation of the collision. Such studies provides important information on the mecanism as well as on the electronic structure of the projectile and target during the reaction. The charge-transfer process in collisions on C2+ ions with hydrogen halide molecule (HF, HCI) has been studied by means of ab initio quantum chemistry molecular methods followed by semiclassical dynamical treatment in the keV collision energy range. The mechanism has been investigated in detail in each reaction, in connection with nonadiabatic interactions around avoided crodssings between states involved in the process.