REALIZATION OF THE EMBEDDING OF LIESUBAL GEBRA IN THE CASE OF INTERACTING BOSON MODEL

TU Chuan-Shi

Chinese Physics C> 1987, Vol. 11> Issue(5) : 634-643

REALIZATION OF THE EMBEDDING OF LIESUBAL GEBRA IN THE CASE OF INTERACTING BOSON MODEL

TU Chuan-Shi ^,

Suzhou University

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Abstract：
This article treats the interacting Boson model (IBM-1) by the embeding theory of Lie subalgebra. From the considerations of stantard A₁ subagbra and the index relation of the embedding theory, we can get all the subagbra chains of IBM-1 model and prove that they exhaust the possible physically meaningful chains.
The Boson creation and annihilation operators are taken as basis for the realization of the embedding. In selecting the basis, angular momentum consideration is very crucial for the outcome of the correct physical result which has angular momentum as a good quantum number. Our results coincides with the original resul of Arima and Iachello.

References

[1]

Arima and Iachello, Phys. Rev. Lett. 35(1975), 1069; Ann. Phys., 99(1976), 253; 111 (1978), 201.[2] E. B. Dynkin, Marh. Sb., 30(1952), 349; Amer. Math. Soc. Transl, [Z] , 6(1967), 111.[3] B. Gruber and M. T. Samuel, in Group Theory and its Applications, Vol. 111, EM Loebl (Ed.) (AcademicPress, NEW York, 1975).[4] M. Lorentc and B. Gruber, J. Math. Phys., 13(1972), 1639.[5] B. Gruber and M. T. Samuel, Kinam, 2(1980), 133.

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TU Chuan-Shi. REALIZATION OF THE EMBEDDING OF LIESUBAL GEBRA IN THE CASE OF INTERACTING BOSON MODEL[J]. Chinese Physics C, 1987, 11(5): 634-643.

TU Chuan-Shi. REALIZATION OF THE EMBEDDING OF LIESUBAL GEBRA IN THE CASE OF INTERACTING BOSON MODEL[J]. Chinese Physics C, 1987, 11(5): 634-643. shu

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Received: 1900-01-01
Revised: 1900-01-01

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