Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle

ZHAO Xiu-Mei; CAO Li-Ke; YANG Tao; YUE Rui-Hong

Chinese Physics C> 2004, Vol. 28> Issue(9) : 936-940

Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle

Institute of Modern Physics,Northwest University,Xi'an 710069,China

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper,we propose a new quantum derivative nonlinear Schrdinger model for spin-12 particles.With the help of Lax operator,we construct the monodromy matrix.It is shown that the monodromy matrix satisfies Yang-Baxter equation.Infinite conserved quantities can be obtained by expanding the monodromy matrix repecting to the spectrum parameter.

References

[1]

.Thacker H B, Willkinson D. Phys. Rev. , 1979, D19: 3660; Creamer DB,Thacker H B,Wilkinson D.Phys. Rev. , 1980, D21: 15232. PU Fu-Cho, ZHAO Bao-Heng.Nucl .Phys. , 1986, B275: 77-923. ZHOU Yu-Kui. Nucl. Phys. , 1989, B326: 775-7864. Basu Mallick B,Tanaya Bhattacharyya. hep-th/ 02020355. Kundu A, Basu Mallick B. J.Math.Phys. , 1993, 34: 10526. YANG C N. Phys. Rev. Lett. , 1967, 19: 1312; Baxter B J. Ann. Phys.(NY) , 1972, 70: 1937. Skylanin E K.Maty. Phys. , 1990, 10: 121

[1]	DAI Lian-Rong , FU Yao , LIU Zhong-Zuo , WANG Yin , TONG Lei , LI Chun-Ran . Structure of Ξ^*Ω_(0,1/2) Dibaryon. Chinese Physics C, 2006, 30(S2): 271-273.
[2]	WANG Jing , HUANG Yong-Chang . BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model. Chinese Physics C, 2004, 28(1): 17-21.
[3]	ZHANG Xin-Ming , ZHOU Huan-Qiang . Study for Superdeformed Bands in A～190 Region with Quantum Group U_qp(u₂) Model. Chinese Physics C, 2002, 26(8): 843-850.
[4]	WANG Shu-Zhong , HUANG Yong-Chang . SU(2)_L×SU(2)_R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking. Chinese Physics C, 2001, 25(12): 1152-1157.
[5]	WU ChongShi , LI ZhongHua . Possibility of Superdeformed K=1/2 Bands in ¹⁹³T1. Chinese Physics C, 2000, 24(12): 1142-1148.
[6]	Liu Yaoyang , Sun Lazhen , Jiang Xiangdong . SU(3)_C×SU(2)_I×U(1)_Y Theory of Composite Leptons. Chinese Physics C, 1998, 22(11): 996-1003.
[7]	Xie Wenfang , Bao Chengguang . Effect of Symmetry on Structure of 3-Fermion Systems With Spin S=1/2. Chinese Physics C, 1996, 20(1): 92-96.
[8]	Gao Xiaochun , Qian Tiezheng . The Removability of the Topological Term in the CP¹ Model and θ Vacuum. Chinese Physics C, 1994, 18(2): 137-142.
[9]	SHEN Qixing , YU Hong . Determination of the Spin-parity of the Boson Resonance X for the Process J/ψ→V₁+X,X→γ+V₂. Chinese Physics C, 1993, 17(11): 988-992.
[10]	SHEN Kun , QIU Zhong-Ping . Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model. Chinese Physics C, 1993, 17(1): 17-27.
[11]	SHEN Kun , QIU Zhong-Ping . Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(9): 811-815.
[12]	SHEN Qi-Xing , YU Hong . Determining the Spin and Parity of Particle X for the Process J/ψ→V₁,X→V₂+V₃ by Using the Generalized Moment Analysis Method. Chinese Physics C, 1993, 17(6): 503-510.
[13]	SHEN Kun , QIU Zhong-Ping . Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1992, 16(1): 29-37.
[14]	YAN Wu-Guang , YU Hong . THE ANGULAR DISTRIBUTION FOR THE PROCESS e⁺e^－→J/ψ→γB,B→P₁P₂ AND THE SPIN ANALYSIS OF B. Chinese Physics C, 1989, 13(3): 234-240.
[15]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[16]	CHEN Ren . STOCHASTIC QUANTIZATION WITH SPIN 3/2 FIELD. Chinese Physics C, 1987, 11(2): 157-163.
[17]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[18]	WANG Yuan , ZHUANG Qin . THE ENERGY SPECTRA OF 1f_7/2 SHELL NUCLEI WITH NONIDENTICAL NUCLEONS CONFIGURATION AND THE TWO BODY SPIN-ORBIT COUPLING FORCES. Chinese Physics C, 1985, 9(5): 618-621.
[19]	SONG Xiao-Tong , CHING Cheng-Rui , HO Tso-Hsiu . APPROXIMATE B.S. WAVE FUNCTIONS FOR AN ELECTROMAGNETIC BOUND SYSTEM OF SPINS (1/2, 1/2) OR (1/2, 1/2) WITH UNEQUAL MASSES. Chinese Physics C, 1984, 8(5): 531-538.
[20]	HUANG CHAO-SHANG . THE LARGE MOMENTUM BEHAVIOR OF THE ELECTROMAGNETIC TRANSITION FORM FACTOR F_A₁π(q²) IN QCD. Chinese Physics C, 1982, 6(2): 168-175.

Access

Get Citation

ZHAO Xiu-Mei, CAO Li-Ke, YANG Tao and YUE Rui-Hong. Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle[J]. Chinese Physics C, 2004, 28(9): 936-940.

ZHAO Xiu-Mei, CAO Li-Ke, YANG Tao and YUE Rui-Hong. Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle[J]. Chinese Physics C, 2004, 28(9): 936-940. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2004-01-15
Revised: 1900-01-01

Article Metric

Article Views(3194)
PDF Downloads(544)
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

Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle

Corresponding author: ZHAO Xiu-Mei,

Institute of Modern Physics,Northwest University,Xi'an 710069,China

Received Date: 2004-01-15
Accepted Date: 1900-01-01
Available Online: 2004-09-05

Abstract: In this paper,we propose a new quantum derivative nonlinear Schrdinger model for spin-12 particles.With the help of Lax operator,we construct the monodromy matrix.It is shown that the monodromy matrix satisfies Yang-Baxter equation.Infinite conserved quantities can be obtained by expanding the monodromy matrix repecting to the spectrum parameter.