Associate Professor Yao-zhong Zhang
Associate Professor

Yao-zhong Zhang

Email: 
Phone: 
+61 7 336 53256

Background

A/Prof Yao-Zhong Zhang's research interests are in: Algebraic structures, quantum (super)integrable systems, (quasi-)exactly solvable models, supersymmetry, and conformal field theory.

Yao-Zhong Zhang received his PhD from Northwest University, China, in 1988 under the supervision of Prof Bo-Yu Hou. He spent 12 years in Europe, Japan and Australia as Postdoctoral/Research Fellow, before becoming in 2001 a permament staff member as a Senior Lecturer in Mathematics of the University of Queensland. Since 2006, he has been Reader/Associate Professor in the School of Mathematics and Physics of the University of Queensland.

Availability

Associate Professor Yao-zhong Zhang is:
Available for supervision
Media expert

Fields of research

Mathematical physics

Qualifications

  • Bachelor (Honours) of Science (Advanced), Xidian University
  • Masters (Research) of Science, Sichuan University
  • Doctor of Philosophy, Northwest University (西北大学)

Research interests

  • Integrable, superintegrable, exactly solvable and quasi-exactly solvable systems

  • Spin-boson systems, quantum Rabi model and generalizations

  • Algebraic Bethe ansatz, quantum inverse scattering method and related algebraic structures

  • Lie (super)algebras, quantum algebras, representations, correlation functions, supersymmetry and conformal field theory

Search Professor Yao-zhong Zhang’s works on UQ eSpace

235 works between 1986 and 2025
All (235) Book (2) Journal Article (218) Conference Publication (9) Book Chapter (6)

81 - 100 of 235 works

2012

Journal Article

Quasi-exactly solvable relativistic soft-core Coulomb models

Agboola, Davids and Zhang, Yao-Zhong (2012). Quasi-exactly solvable relativistic soft-core Coulomb models. Annals of Physics, 327 (9), 2275-2287. doi: 10.1016/j.aop.2012.07.002

Quasi-exactly solvable relativistic soft-core Coulomb models

2012

Journal Article

Pointed Hopf algebras with classical Weyl groups

Zhang, Shouchuan and Zhang, Yao-Zhong (2012). Pointed Hopf algebras with classical Weyl groups. International Journal of Mathematics, 23 (6) 1250066, 1250066-1-1250066-26. doi: 10.1142/S0129167X12500668

Pointed Hopf algebras with classical Weyl groups

2012

Journal Article

Exact solutions of the schrodinger equation with spherically symmetric octic potential

Agboola, Davids and Zhang, Yao-Zhong (2012). Exact solutions of the schrodinger equation with spherically symmetric octic potential. Modern Physics Letters A, 27 (20) 1250112, 1250112. doi: 10.1142/S021773231250112X

Exact solutions of the schrodinger equation with spherically symmetric octic potential

2012

Journal Article

Unified derivation of exact solutions for a class of quasi-exactly solvable models

Agboola, Davids and Zhang, Yao-Zhong (2012). Unified derivation of exact solutions for a class of quasi-exactly solvable models. Journal of Mathematical Physics, 53 (4) 042101, 042101. doi: 10.1063/1.3701833

Unified derivation of exact solutions for a class of quasi-exactly solvable models

2012

Journal Article

Exact polynomial solutions of second order differential equations and their applications

Zhang, Yao-Zhong (2012). Exact polynomial solutions of second order differential equations and their applications. Journal of Physics A: Mathematical and Theoretical, 45 (6) 065206, 065206.1-065206.20. doi: 10.1088/1751-8113/45/6/065206

Exact polynomial solutions of second order differential equations and their applications

2012

Journal Article

Drinfeld twist and symmetric Bethe vectors of open XYZ chain with non-diagonal boundary terms

Chen, Xi, Feng, Jun, Hao, Kun, Wu, Ke, Yang, Wen-Li, Yang, Zhan-Ying and Zhang, Yao-Zhong (2012). Drinfeld twist and symmetric Bethe vectors of open XYZ chain with non-diagonal boundary terms. Communications in Theoretical Physics, 57 (1), 19-28. doi: 10.1088/0253-6102/57/1/05

Drinfeld twist and symmetric Bethe vectors of open XYZ chain with non-diagonal boundary terms

2011

Journal Article

Quasi-exactly solvable models derived from the quasi-Gaudin algebra

Lee, Yuan-Harng, Links, Jon and Zhang, Yao-Zhong (2011). Quasi-exactly solvable models derived from the quasi-Gaudin algebra. Journal of Physics A: Mathematical and Theoretical, 44 (48) 482001, 482001.1-482001.9. doi: 10.1088/1751-8113/44/48/482001

Quasi-exactly solvable models derived from the quasi-Gaudin algebra

2011

Journal Article

On classification of n-Lie algebras

Bai, Ruipu, Song, Guojie and Zhang, Yaozhong (2011). On classification of n-Lie algebras. Frontiers of Mathematics in China, 6 (4), 581-606. doi: 10.1007/s11464-011-0107-z

On classification of n-Lie algebras

2011

Journal Article

Exact solutions for a family of spin-boson systems

Lee, Yuan-Harng, Links, Jon and Zhang, Yao-Zhong (2011). Exact solutions for a family of spin-boson systems. Nonlinearity, 24 (7), 1975-1986. doi: 10.1088/0951-7715/24/7/004

Exact solutions for a family of spin-boson systems

2011

Journal Article

Scalar products of the open XYZ chain with non-diagonal boundary terms

Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Wu, Ke, Yang, Zhan-Ying and Zhang, Yao-Zhong (2011). Scalar products of the open XYZ chain with non-diagonal boundary terms. Nuclear Physics B, 848 (3), 523-544. doi: 10.1016/j.nuclphysb.2011.03.003

Scalar products of the open XYZ chain with non-diagonal boundary terms

2011

Journal Article

Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end

Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Shi, Kang-Jie, Sun, Cheng-Yi, Yang, Zhan-Ying and Zhang, Yao-Zhong (2011). Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end. Nuclear Physics B, 847 (2), 367-386. doi: 10.1016/j.nuclphysb.2011.01.029

Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end

2011

Journal Article

Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end

Yang, WL, Chen, X, Feng, J, Hao, K, Hou, BY, Shi, KJ and Zhang, YZ (2011). Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end. Nuclear Physics B, 844 (2), 289-307. doi: 10.1016/j.nuclphysb.2010.11.008

Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end

2011

Journal Article

Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms

Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Hou, Bo-Yu, Shi, Kang-Jie and Zhang, Yao-Zhong (2011). Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms. Journal of High Eneregy Physics, 2011 (1) 006, 1-18. doi: 10.1007/JHEP01(2011)006

Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms

2010

Journal Article

Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems

Lee, Yuan-Harng, Yang, Wen-Li and Zhang, Yao-Zhong (2010). Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems. Journal of Physics A: Mathematical and Theoretical, 43 (37) 375211, 375211-01-375211-12. doi: 10.1088/1751-8113/43/37/375211

Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems

2010

Journal Article

Drinfeld twists of the open XXZ chain with non-diagonal boundary terms

Yang, Wen-Li and Zhang, Yao-Zhong (2010). Drinfeld twists of the open XXZ chain with non-diagonal boundary terms. Nuclear Physics B, 831 (3), 408-428. doi: 10.1016/j.nuclphysb.2010.01.001

Drinfeld twists of the open XXZ chain with non-diagonal boundary terms

2010

Journal Article

Polynomial algebras and exact solutions of general quantum nonlinear optical models I: two-mode boson systems

Lee, Yuan-Harng, Yang, Wen-Li and Zhang, Yao-Zhong (2010). Polynomial algebras and exact solutions of general quantum nonlinear optical models I: two-mode boson systems. Journal of Physics A: Mathematical and Theoretical, 43 (18) 185204, 185204-1-185204-17. doi: 10.1088/1751-8113/43/18/185204

Polynomial algebras and exact solutions of general quantum nonlinear optical models I: two-mode boson systems

2010

Conference Publication

Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N

Bai, Rui-Pu, Shen, Cai-Hong and Zhang, Yao-Zhong (2010). Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N. 3rd International Workshop on Matrix Analysis and Applications, Hangzhou, People's Republic of China, 9-13 July 2009. Pensacola, FL, U.S.A.: International Linear Algebra Society.

Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N

2009

Journal Article

Differential operator realizations of superalgebras and free field representations of corresponding current algebras

Yang, Wen-Li, Zhang, Yao-Zhong and Kault, Samuel (2009). Differential operator realizations of superalgebras and free field representations of corresponding current algebras. Nuclear Physics, Section B, 823 (3), 372-402. doi: 10.1016/j.nuclphysb.2009.06.029

Differential operator realizations of superalgebras and free field representations of corresponding current algebras

2009

Journal Article

Partition function of the eight-vertex model with domain wall boundary condition

Yang, Wen-Li and Zhang, Yao-Zhong (2009). Partition function of the eight-vertex model with domain wall boundary condition. Journal of Mathematical Physics, 50 (8) 083518, 083518.1-083518.14. doi: 10.1063/1.3205448

Partition function of the eight-vertex model with domain wall boundary condition

2009

Journal Article

Generalized path algebras and pointed Hopf algebras

Zhang, Shou Chuan, Zhang, Yao Zhong and Guo, Xi Jing (2009). Generalized path algebras and pointed Hopf algebras. 數學研究與評論, 29 (3), 395-406. doi: 10.3770/j.issn:1000-341X.2009.03.003

Generalized path algebras and pointed Hopf algebras

Current funding

  • 2019 - 2025
    From superintegrability to quasi-exact solvability: theory and application
    ARC Discovery Projects
    Open grant

Past funding

  • 2014 - 2016
    Constructive representation theory of classical and quantum Lie superalgebras
    ARC Discovery Projects
    Open grant
  • 2011 - 2013
    Mathematical models for disordered critical point theories
    ARC Discovery Projects
    Open grant
  • 2008
    Exact analytic methods for disordered critical point theories
    UQ External Support Enabling Grant
    Open grant
  • 2006 - 2008
    Quantum Integrable Systems and Applications: From Condensed Matter to Quantum Information
    ARC Discovery Projects
    Open grant
  • 2004
    Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies
    ARC Seed Funding for Research Networks
    Open grant
  • 2004 - 2006
    Quantum many-body systems with long-range interactions
    ARC Linkage International
    Open grant
  • 2003 - 2004
    Quantum Groups and Boundary Integrable Field Theory
    Australian Academy of Science
    Open grant
  • 2003 - 2004
    Algebraic Structures and Correlations in Quantum Many-Body Systems
    ARC Discovery Projects
    Open grant
  • 2003 - 2005
    Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory
    ARC Discovery Projects
    Open grant
  • 2002 - 2004
    Quantized Algebraic (Super) Structures and Applications
    ARC Linkage International
    Open grant
  • 2002
    Quantum correlations in degenerate Bose gases
    University of Queensland Research Development Grants Scheme
    Open grant
  • 2000
    Yangian Structures and Integrable Models with Long-Range Interactions.
    ARC Australian Research Council (Small grants)
    Open grant
  • 1999
    Boundary integrable models in condensed matter physics and quantum field theory
    ARC Australian Research Council (Small grants)
    Open grant
  • 1999
    Representations and Applications of Quantum Affine Superalgebras
    ARC Australian Research Council (Large grants)
    Open grant
  • 1999
    \-deformed (super) conformal field theory & q-(super) strings
    ARC International Research Exchange Program (IREX)
    Open grant
  • 1997
    Integrable quantum field theories with boundry interactons
    University of Queensland New Staff Research Grant
    Open grant
  • 1997
    Quantum groups and supersymmetry
    UQ External Support Enabling Grant
    Open grant

Availability

Associate Professor Yao-zhong Zhang is:
Available for supervision

Looking for a supervisor? Read our advice on how to choose a supervisor.

Available projects

  • R-matrices without difference property and related integrable models

  • Superintegrable models and polynomial algebraic structures

  • Aspects of quantum Rabi type spin boson systems

Supervision history

Current supervision

Completed supervision

Enquiries

Contact Associate Professor Yao-zhong Zhang directly for media enquiries about:

  • Mathematical physics
  • Physics
  • Theoretical physics

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