A METHOD FOR THE ELIMINATION OF SPURIOUS STATES IN THE NUCLEAR HARMONIC OSCILLATOR SHELL MODEL

Journal Article · Thu Dec 01 00:00:00 EST 1960 · Nuclear Phys.

DOI:https://doi.org/10.1016/0029-5582(60)90073-0· OSTI ID:4094570

Verhaar, B J

A group-theoretical method was used for the nuclear eigenstates in the harmoric oscillator shell model. This classification is intimately connected with the distinction between good and spurious states. It provides a procedure for the elimination of spurious states. The method makes use of the invariance properties of the system hamiltonian for several groups of transformations. In particular a group U/sub 3/ formerly used for the study of collective rotational effects in the nuclear shell-model is of importance. This group is related to the degeneracy of the 3-dimensional isotropic harmonic oscillator states. Some special examples, illustrating the method, are given. (auth)

• Research Organization: Universiteit, Amsterdam
• NSA Number: NSA-15-010031
• OSTI ID: 4094570
• Journal Information: Nuclear Phys., Vol. Vol: 21; Other Information: Orig. Receipt Date: 31-DEC-61
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

PHYSICS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
GROUP THEORY
HAMILTONIAN
MATHEMATICS
NUCLEAR MODELS
NUCLEI
OSCILLATIONS
ROTATION
SHELL MODELS