ON BOSON REALIZATIONS AND INHOMOGENEOUS DIFFERENTIAL REALIZATION FOR LIE ALGEBRAS AND THEIR REPRESENTATIONS

SUN Chang-Pu

Chinese Physics C> 1990, Vol. 14> Issue(9) : 788-795

ON BOSON REALIZATIONS AND INHOMOGENEOUS DIFFERENTIAL REALIZATION FOR LIE ALGEBRAS AND THEIR REPRESENTATIONS

SUN Chang-Pu ^,

Theoretical Physics Division Nankai Institute Mathematics,Tianjin

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper we systematically analyse and generalize the Boson Realization Method proposed by the author for constructing indecomposable representations of Lie (super) algebras.We prove that the representations thus obtained cover the master representation of Gruber and point out the relation of its coset representation to the boson coherent states.We also propose a general method of finding the inhomogeneous differential realizations of lie algebras from their indecomposable representations,which is very useful in new found quantum mechanical quasiexactly solvable problems.

References

[1]

L. C. Biedenharn and J. D. Louck, Angular Momentum in Quantum Physica(Land: Addison-Wesley PubIi. Co.) 1981.[2] B. Gruber and A. U. Klimik, J. Math. Phys., 25(1984), 755.[3] B. Gruber and R, Lenczewski, J. Phys., A19(1986), 1.[4] C. -P. Sun, J. Phys., A20(1987), 4551.[5] C. -P. Sun, J. Phys., A20(1987), 5823.[6] C. -P. Sun, J. Phys., A20(1987), L1157.孙昌璞，自然杂志，12(1989), 153: IL Nuovo Cimento B(1989)inpress.[7] A. O. Barrut and R. Raczka, Theory of Group Representations and their Applications, (PWN: Warszawa)1980.[8] P. Dirac. Intern. J. Theor, Phys., 23(1984), 677.[9] M.A. Shifman, Intern. J. mod. Phys., 4(1989), 2897.[10] H. -C. Fu and C. -P. Sun, J. Math. Phys., 31(I990) in press.[11] 付洪忱，高能物理与核物理，14(1990)，126.[12] V. Bargmann, Analytic Method in Mathematical Physics (Gordon: NY) 1970, 27-63 and refs. therein.[13] 范洪义，物理学进展，7(1987), 215 and refs, therein.[14] C. -P. Sun, and H. -C. Fu, J. Phys. A, 22(1989) in press.

Access

Get Citation

SUN Chang-Pu. ON BOSON REALIZATIONS AND INHOMOGENEOUS DIFFERENTIAL REALIZATION FOR LIE ALGEBRAS AND THEIR REPRESENTATIONS[J]. Chinese Physics C, 1990, 14(9): 788-795.

SUN Chang-Pu. ON BOSON REALIZATIONS AND INHOMOGENEOUS DIFFERENTIAL REALIZATION FOR LIE ALGEBRAS AND THEIR REPRESENTATIONS[J]. Chinese Physics C, 1990, 14(9): 788-795. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2676)
PDF Downloads(426)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142