Group Theoretical Methods in Physics pp 422-435 | Cite as

# Boson mappings in nuclear physics. A brief and prejudiced survey

Session VII — Nuclear Physics

First Online:

## Abstract

The physical problems which stimulated the study of boson mappings are reviewed. The various mathematical techniques available for this problem are outlined.It is emphasized that the first mapping technique found in the literature, that of Holstein-Primakoff (HP), has been insufficiently exploited.A modified HP technique is illustrated. The unresolved problems in connection with the derivation of the interacting boson model are illustrated by means of a simplified model, and a proposal for a solution is made.

## Keywords

Shell Model Slater Determinant Interact Boson Model Collective Degree Small Expansion Parameter
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## References

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## Copyright information

© Springer-Verlag 1983