Algebraic mean flow theory of sp(3,R)

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Title 
Algebraic mean flow theory of sp(3,R) 
Author 
Graber, Jessica L 
School 
Tulane University 
Academic Field 
Physics, Nuclear 
Abstract 
Nuclear deformation and rotation can be described by collective, macroscopic models such as the liquid drop model, or by microscopic theories like the shell model, using onebody operators acting on single particle wavefunctions Algebraic mean field theory (AMFT) constructs coadjoint orbits in the dual space of a Lie algebra made up of onebody operators. The coadjoint orbits are made up of densities corresponding to the quantum mechanical expectations of the onebody operators on the single particle wavefunctions. It reduces an infinitedimensional problem in the shell model to a problem on a finitedimensional manifold involving simple matrix multiplication. The critical points of a realistic energy functional on the coadjoint orbit produce equilibrium solutions for a rotating ellipsoid In this paper, AMFT has been applied to the symplectic algebra sp(3,reals), which encompasses both the su(3) algebra of the shell model, and the gcm(3) algebra that is the dynamical symmetry algebra of Riemann ellipsoid theory 
Language 
eng 
Advisor(s) 
Rosensteel, George 
Degree Date 
2003 
Degree 
Ph.D 
Publisher 
Tulane University 
Publication Date 
2003 
Source 
Source: 126 p., Dissertation Abstracts International, Volume: 6412, Section: B, page: 6141 
Identifier 
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Rights 
Copyright is in accordance with U.S. Copyright law 
Contact Information 
digitallibrary@tulane.edu 
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