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k阶复合伴随矩阵与k阶余子式矩阵
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作者 梁莉 《吉林化工学院学报》 CAS 1998年第4期77-80,共4页
给出了矩阵A的k阶余子式矩阵cofkA的定义及一些性质,并得到了一些改进的结果.
关键词 复合伴随矩阵 子式矩阵 复合矩阵 矩阵
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矩阵的子式矩阵及其应用
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作者 秦金华 《信阳师范学院学报(自然科学版)》 CAS 1991年第1期35-38,共4页
本文描述了矩阵的子式矩阵,并由此得到了Gram不等式的一个推广形式。
关键词 矩阵 子式矩阵 GRAM矩阵
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Operator Matrix Forms of Positive Operators 被引量:4
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作者 杜鸿科 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第4期9-12,共4页
If a 3-tuple (A:H_1→H_1,B:H_2→H_1,C:H_2→H_2) of operators on Hilbert spaces is given,we proved that the operator A:= on H=H_1⊕H_2 is≥0 if and only if A≥0,R(B) R(A1/2)and C≥B~* A^+ B, where A^+ is the generalize... If a 3-tuple (A:H_1→H_1,B:H_2→H_1,C:H_2→H_2) of operators on Hilbert spaces is given,we proved that the operator A:= on H=H_1⊕H_2 is≥0 if and only if A≥0,R(B) R(A1/2)and C≥B~* A^+ B, where A^+ is the generalized inverse of A. In general,A^+ is a closed operator,but since R(B) R(A1/2),B~* A^+ B is bounded yet. 展开更多
关键词 positive operator range of operator
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A 9×9 Matrix Representation of Birman-Wenzl-Murakami Algebra and Berry Phase in Yang-Baxter System 被引量:2
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作者 苟立丹 薛康 王刚成 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第2期263-267,共5页
We present a 9×9 S-matrix and E-matrix.A representation of specialized Birman-Wenzl-Murakami algebra is obtained.Starting from the given braid group representation S-matrix,we obtain the trigonometric solution of... We present a 9×9 S-matrix and E-matrix.A representation of specialized Birman-Wenzl-Murakami algebra is obtained.Starting from the given braid group representation S-matrix,we obtain the trigonometric solution of Yang-Baxter equation.A unitary matrix R(x,φ1,φ2)is generated via the Yang-Baxterization approach.Then we construct a Yang-Baxter Hamiltonian through the unitary matrix R(x,φ1,φ2).Berry phase of this Yang-Baxter system is investigated in detail. 展开更多
关键词 Birman-Wenzl-Murakami algebra Yang Baxter equation Berry phase
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Analytic Expression of Arbitrary Matrix Elements for Boson Exponential Quadratic Polynomial Operators
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作者 XU Xiu-Wei REN Ting-Qi LIU Shu-Yan MA Qiu-Ming LIU Sheng-Dian 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第1期41-44,共4页
Making use of the transformation relation among usual, normal, and antinormal ordering for the multimode boson exponential quadratic polynomial operators (BEQPO's)I we present the analytic expression of arbitrary m... Making use of the transformation relation among usual, normal, and antinormal ordering for the multimode boson exponential quadratic polynomial operators (BEQPO's)I we present the analytic expression of arbitrary matrix elements for BEQPO's. As a preliminary application, we obtain the exact expressions of partition function about the boson quadratic polynomial system, matrix elements in particle-number, coordinate, and momentum representation, and P representation for the BEQPO's. 展开更多
关键词 Boson exponential quadratic polynomial operator matrix element P representation partition function of Boson quadratic polynomial system
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Some Remarks for Discrete Versions of Nodal Domain Theorems
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作者 李耀堂 关莉 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2003年第2期275-278,共4页
In this paper, an error is firstly pointed out in the proof of the main theorems (Theorem 4 and Theorem 6) in [1]. Then the error is corrected and the right proof is given.
关键词 nodal domain theorem discrete version
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Loop Algebras and Bi-integrable Couplings 被引量:4
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作者 Wenxiu MA 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第2期207-224,共18页
A class of non-semisimple matrix loop algebras consisting of triangular block matrices is introduced and used to generate bi-integrable couplings of soliton equations from zero curvature equations.The variational iden... A class of non-semisimple matrix loop algebras consisting of triangular block matrices is introduced and used to generate bi-integrable couplings of soliton equations from zero curvature equations.The variational identities under non-degenerate,symmetric and ad-invariant bilinear forms are used to furnish Hamiltonian structures of the resulting bi-integrable couplings.A special case of the suggested loop algebras yields nonlinear bi-integrable Hamiltonian couplings for the AKNS soliton hierarchy. 展开更多
关键词 Loop algebra Bi-integrable coupling Zero curvature equation SYMMETRY Hamiltonian structure
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Quantum Fisher Information for Density Matrices with Arbitrary Ranks 被引量:1
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作者 刘京 井晓辛 +1 位作者 钟伟 王晓光 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第1期45-50,共6页
We provide a new expression of the quantum Fisher information(QFI) for a general system.Utilizing this expression,the QFI for a non-full rank density matrix is only determined by its support.This expression can bring ... We provide a new expression of the quantum Fisher information(QFI) for a general system.Utilizing this expression,the QFI for a non-full rank density matrix is only determined by its support.This expression can bring convenience for an infinite-dimensional density matrix with a finite support.Besides,a matrix representation of the QFI is also given. 展开更多
关键词 quantum Fisher information quantum metrology density matrix
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Quantum Discord in Two-Qubit System Constructed from the Yang-Baxter Equation
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作者 GOU Li-Dan WANG Xiao-Qian +1 位作者 XU Yu-Mei SUN Yuan-Yuan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第3期349-353,共5页
Quantum correlations among parts of a composite quantum system are a fundamental resource for several applications in quantum information. In general, quantum discord can measure quantum correlations. In that way,we i... Quantum correlations among parts of a composite quantum system are a fundamental resource for several applications in quantum information. In general, quantum discord can measure quantum correlations. In that way,we investigate the quantum discord of the two-qubit system constructed from the Yang–Baxter Equation. The density matrix of this system is generated through the unitary Yang–Baxter matrix R. The analytical expression and numerical result of quantum discord and geometric measure of quantum discord are obtained for the Yang–Baxter system. These results show that quantum discord and geometric measure of quantum discord are only connect with the parameter θ,which is the important spectral parameter in Yang–Baxter equation. 展开更多
关键词 quantum correlations quantum discord Yang-Baxter equation
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