An Informal Overview of the Unitary Group Approach

Sonnad, V.¹  Escher, J.¹  Kruse, M.¹  Baker, R.² 

[1]Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

[2]Louisiana State Univ., Baton Rouge, LA (United States). Dept. of Physics and Astronomy

关键词: U GROUPS;    ALGEBRA;    HAMILTONIANS;    CALCULATION METHODS;    MOLECULAR STRUCTURE;    NUCLEAR STRUCTURE;    ELECTRONIC STRUCTURE;    COMPARATIVE EVALUATIONS;   

DOI  :  10.2172/1258517
RP-ID  :  LLNL--TR-694837
PID  :  OSTI ID: 1258517
Others  :  TRN: US1601513

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来源: SciTech Connect

【 摘 要 】

The Unitary Groups Approach (UGA) is an elegant and conceptually unified approach to quantum structure calculations. It has been widely used in molecular structure calculations, and holds the promise of a single computational approach to structure calculations in a variety of different fields. We explore the possibility of extending the UGA to computations in atomic and nuclear structure as a simpler alternative to traditional Racah algebra-based approaches. We provide a simple introduction to the basic UGA and consider some of the issues in using the UGA with spin-dependent, multi-body Hamiltonians requiring multi-shell bases adapted to additional symmetries. While the UGA is perfectly capable of dealing with such problems, it is seen that the complexity rises dramatically, and the UGA is not at this time, a simpler alternative to Racah algebra-based approaches.