Exact Solutions of sl-Boson System in U(2l+1) O(2l+2) Transitional Region

ZHANG Xin; PAN Feng

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(12) : 1228-1237

Exact Solutions of sl-Boson System in U(2l+1) O(2l+2) Transitional Region

ZHANG Xin ^, ,
PAN Feng

Department of Physics,Liaoning Normal University,Dalian 116029,China

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Abstract：
Exact eigen-energies and the corresponding wavefunctions of the interacting sl-boson system in U(2l+1) transitional region are obtained by using an algebraic Bethe ansatz with the infinite dimensional Lie algebraic technique. Numerical algorithm for solving the Bethe ansatz equations by using mathematica package is also outlined.

References

[1]

. Leggett A J.Rev.Mod.Phys.,2001,73:3072. Bersch G F ,PapenbrockT .Phys.Rev.Lett.,1999,83:5412 3. Arima A ,Iachello F .Ann.Phys.(N .Y .),1976,99:2534. Arima A ,Iachello F .Ann.Phys.(N .Y .),1978,111:201 5. Arima A ,Iachello F .Ann.Phys.(N .Y .),1979,123:468 6. Iachello F .Chem.Phys.Lett.,1981,78:581 7. Iachello F .,Levine R D .J.Chem.Phys.,1982,77:30468. van Roosmalen O S ,IachelloF ,Dieperink AE L .J.Chem.Phys.,1983,79:2515 9. PAN Feng,Draayer J P .Nucl.Phys.,1998,A636:156 10. Casten R F .In:Interacting BoseFermi System,ed.Iachello F .Plenum,1981 11. Daley H J,Iachello F .Ann.Phys.(N .Y .),1986,167:3712. PAN Feng,Draayer J P .Phys.Rev.,1999,B59:455313. PAN Feng,Draayer J P,Ormand W E. Phys. Lett.，1998,B422:1114. PAN Feng.Draayer J P. Phys. Lett.，1998,8422:715. PAN Feng,Draayer J P. J. Phys.，1999 . A32 : 106516. PAN Feng,Draayer J P. Ann. Phys. (N. Y.)，1999,275:224

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ZHANG Xin and PAN Feng. Exact Solutions of sl-Boson System in U(2l+1) O(2l+2) Transitional Region[J]. Chinese Physics C, 2002, 26(12): 1228-1237.

ZHANG Xin and PAN Feng. Exact Solutions of sl-Boson System in U(2l+1) O(2l+2) Transitional Region[J]. Chinese Physics C, 2002, 26(12): 1228-1237. shu

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Received: 2001-12-24
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Exact Solutions of sl-Boson System in U(2l+1) O(2l+2) Transitional Region

ZHANG Xin ^,
PAN Feng

Corresponding author: ZHANG Xin,

Department of Physics,Liaoning Normal University,Dalian 116029,China

Received Date: 2001-12-24
Accepted Date: 1900-01-01
Available Online: 2002-12-05

Abstract: Exact eigen-energies and the corresponding wavefunctions of the interacting sl-boson system in U(2l+1) transitional region are obtained by using an algebraic Bethe ansatz with the infinite dimensional Lie algebraic technique. Numerical algorithm for solving the Bethe ansatz equations by using mathematica package is also outlined.