Super-coherent State Representation of Lie Superalgebra B(0,1)

KUANG Le-Man; ZENG Gao-Jian

Chinese Physics C> 1993, Vol. 17> Issue(3) : 215-221

Super-coherent State Representation of Lie Superalgebra B(0,1)

KUANG Le-Man ^, ,
ZENG Gao-Jian

Department of Physics,Changsha Normal University of Water Resources and Electric Power Changsha 410077Department of Physics,Hunan Normal University,Changsha 410006

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Abstract：
The concept of coherent states is extended o Lie superalgebras.Super-coherent states associated with the Lie superalgebra B(0,1) are constructed explicitly.And the matrix elements of the B(0,1)generators are calculated.An inhomogeneous differential realization is obtained.This realization is useful for the study of the quasi-exacly solvable problems in quantum mechanics.

References

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J. R. Klauder and B. S. Skagerstam, Coherent Stares, Ch. I (World Scienrilic, Singapore, 1985)[2]H. Weyl, Gruppentheorie and Quanten Mecha}nik, (Leipzig, S. Hirzel, 1928)[3]A, ri. Perelomov, Common. Math. Phys., 26(1972), 222[4]A. Pais and V. RittenberK, .J. Main. Phys., 16(1975), 2063[5]J. M. Radicliffe, J. Phys., 414(1971), 313.[6]付洪沈，高能物理与核物理,14(1990),126,[7]A. V. Turbiner and A. G. Ushiveridae, Phys. Lett., 11126(1987),' 181[8]A. V. Turbiner, Cammutr. Math. Phys,126(1989), 347.[9]Kuang Leman, J. Phys.,AZS(1992), 4827

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KUANG Le-Man and ZENG Gao-Jian. Super-coherent State Representation of Lie Superalgebra B(0,1)[J]. Chinese Physics C, 1993, 17(3): 215-221.

KUANG Le-Man and ZENG Gao-Jian. Super-coherent State Representation of Lie Superalgebra B(0,1)[J]. Chinese Physics C, 1993, 17(3): 215-221. shu

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Received: 1900-01-01
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

Super-coherent State Representation of Lie Superalgebra B(0,1)

KUANG Le-Man ^,
ZENG Gao-Jian

Corresponding author: KUANG Le-Man,

Department of Physics,Changsha Normal University of Water Resources and Electric Power Changsha 410077Department of Physics,Hunan Normal University,Changsha 410006

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-03-05

Abstract: The concept of coherent states is extended o Lie superalgebras.Super-coherent states associated with the Lie superalgebra B(0,1) are constructed explicitly.And the matrix elements of the B(0,1)generators are calculated.An inhomogeneous differential realization is obtained.This realization is useful for the study of the quasi-exacly solvable problems in quantum mechanics.