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Title page for ETD etd-07192012-122043

Type of Document Dissertation
Author Pigg, David Allen
Author's Email Address david.a.pigg@vanderbilt.edu
URN etd-07192012-122043
Title Coupled-Cluster Solution of the Time-Dependent Schrodinger Equation for Atomic Nuclei
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
Sait Umar Committee Chair
David Dean Committee Member
David Ernst Committee Member
Kalman Varga Committee Member
Thomas Papenbrock Committee Member
Volker Oberacker Committee Member
  • nucleus
  • many-body
  • ab initio
  • coupled-cluster
  • nuclei
  • nuclear
Date of Defense 2012-07-18
Availability unrestricted
I present proof-of-principle applications of time-dependent coupled-cluster theory in the framework of nuclear physics, demonstrating that both energy and observables that commute with the Hamiltonian are conserved within the bi-variational formalism; the time-evolved eigenvalues of the similarity-transformed Hamiltonian are not conserved within feasible applications; the imaginary-time evolution of the similarity-transformed Hamiltonian is useful in the computation of ground-state properties and is related to similarity renormalization group transformations; and a Fourier analysis of the cluster amplitudes is useful in determining excitation energies.

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