Symmetry analysis of many-body wave functions, with applications to the nuclear shell model

Journal Article · Sun Jan 01 00:00:00 EST 1995 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.51.412· OSTI ID:6696024

Novoselsky, A ^[1]; Katriel, J ^[2]

---

1. Racah Institute of Physics, The Hebrew University, Jerusalem 91904 (Israel)
2. Department of Chemistry, Technion-Israel Institute of Technology, Haifa 32000 (Israel)

The weights of the different permutational symmetry components of a nonsymmetry-adapted many-particle wave function are evaluated in terms of the expectation values of the symmetric-group class sums. This facilitates the evaluation of the weights without the construction of a complete set of symmetry adapted functions. Subspace projection operators are introduced, to be used when prior knowledge about the symmetry-species composition of a wave function is available. The permutational weight analysis of a recursively angular-momentum coupled (shell model) wave function is presented as an illustration.

• OSTI ID: 6696024
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 51:1; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MANY-BODY PROBLEM
WAVE FUNCTIONS
SYMMETRY
ANGULAR MOMENTUM
EXPECTATION VALUE
PROJECTION OPERATORS
SHELL MODELS
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
663120* - Nuclear Structure Models & Methods- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)