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Title page for ETD etd-08242017-013238


Type of Document Dissertation
Author Salas, Jorge Alberto
Author's Email Address jorge.a.salas@vanderbilt.edu
URN etd-08242017-013238
Title Stochastic variational approach to interaction of atoms and strong external fields
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
Kalman Varga Committee Chair
Andreas Berlind Committee Member
Gregory Walker Committee Member
Richard Haglund Committee Member
Thomas Weiler Committee Member
Keywords
  • few-boson systems
  • Stochastic variational mathod
  • strong magnetic field
  • High Harmonic Generation
  • strong electric field
  • Explicitly Correlated Gaussian basis
  • SVM
Date of Defense 2017-04-21
Availability restricted
Abstract
The Stochastic Variational Method using Explicitly Correlated Gaussians was employed for calculating the energies of systems consisting of few bosons, with gravitational, coulombic, soft-core Gaussian interactions and harmonic oscillator confinement. The SVM was then used for studying the stability of three-electron systems in very strong magnetic field conditions. Special attention was given to the stability of Helium and the possibility of formation of stable negative ions in these conditions, in a non-relativistic framework. The obtained results predict a stable system, in agreement with existing theoretical predictions and the structure of the He- ion was also studied. Also, some states of Li and Be+ show strong diamagnetic characteristics, despite them having unpaired spins. Finally, the SVM was used on simulations of atoms in the presence of time-dependent strong electric fields. For this purpose the Stochastically Enhanced Kaufmann basis was created for the case of the hydrogen atom, and used to study the High Harmonics of the Mollow sidebands. The results were also compared to a calculation that employed a confined hydrogen atom eigenstate basis to ensure consistency.
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