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2018

Journal Article

Recurrence approach and higher order polynomial algebras for superintegrable monopole systems

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2018). Recurrence approach and higher order polynomial algebras for superintegrable monopole systems. Journal of Mathematical Physics, 59 (5) 052101, 052101. doi: 10.1063/1.5012859

Recurrence approach and higher order polynomial algebras for superintegrable monopole systems

2018

Journal Article

Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials

Hoque, Md. Fazlul, Marquette, Ian, Post, Sarah and Zhang, Yao-Zhong (2018). Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials. Annals of Physics, 391, 203-215. doi: 10.1016/j.aop.2018.02.008

Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials

2018

Journal Article

Non-classical behaviour of coherent states for systems constructed using exceptional orthogonal polynomials

Hoffmann, Scott E., Hussin, Veronique, Marquette, Ian and Zhang, Yao-Zhong (2018). Non-classical behaviour of coherent states for systems constructed using exceptional orthogonal polynomials. Journal of Physics A-Mathematical and Theoretical, 51 (8) 085202, 1-16. doi: 10.1088/1751-8121/aaa553

Non-classical behaviour of coherent states for systems constructed using exceptional orthogonal polynomials

2018

Journal Article

Structures of Nichols (braided) lie algebras of diagonal type

Wu, Weicai, Wang, Jing, Zhang, Shouchuan and Zhang, Yao-Zhong (2018). Structures of Nichols (braided) lie algebras of diagonal type. Journal of Lie Theory, 28 (2), 357-380.

Structures of Nichols (braided) lie algebras of diagonal type

2018

Conference Publication

On superintegrable monopole systems

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2018). On superintegrable monopole systems. 25th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2017, Prague, Czech Republic, 6-10June 2017. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/965/1/012018

On superintegrable monopole systems

2017

Journal Article

One loop amplitude from null string

Yu, Ming, Zhang, Chi and Zhang, Yao-Zhong (2017). One loop amplitude from null string. Journal of High Energy Physics, 2017 (6) 51. doi: 10.1007/JHEP06(2017)051

One loop amplitude from null string

2017

Journal Article

On the 2-mode and k-photon quantum Rabi models

Zhang, Yao-Zhong (2017). On the 2-mode and k-photon quantum Rabi models. Reviews in Mathematical Physics, 29 (4) 1750013, 1750013. doi: 10.1142/S0129055X17500131

On the 2-mode and k-photon quantum Rabi models

2017

Journal Article

Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang–Coulomb monopole interaction

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2017). Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang–Coulomb monopole interaction. Annals of Physics, 380, 121-134. doi: 10.1016/j.aop.2017.03.003

Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang–Coulomb monopole interaction

2017

Journal Article

Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case

Pan, Feng, Zhang, Yao-Zhong and Draayer, Jerry P. (2017). Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case. Journal of Statistical Mechanics: Theory and Experiment, 2017 (Feb) 023104, 023104. doi: 10.1088/1742-5468/aa5a28

Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case

2017

Journal Article

Exact solution of the two-axis countertwisting Hamiltonian

Pan, Feng, Zhang, Yao-Zhong and Draayer, Jerry P. (2017). Exact solution of the two-axis countertwisting Hamiltonian. Annals of Physics, 376, 182-193. doi: 10.1016/j.aop.2016.11.019

Exact solution of the two-axis countertwisting Hamiltonian

2016

Journal Article

Hidden sl(2)-algebraic structure in Rabi model and its 2-photon and two-mode generalizations

Zhang, Yao-Zhong (2016). Hidden sl(2)-algebraic structure in Rabi model and its 2-photon and two-mode generalizations. Annals of Physics, 375, 460-470. doi: 10.1016/j.aop.2016.10.019

Hidden sl(2)-algebraic structure in Rabi model and its 2-photon and two-mode generalizations

2016

Journal Article

Quadratic algebra for superintegrable monopole system in a Taub-NUT space

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2016). Quadratic algebra for superintegrable monopole system in a Taub-NUT space. Journal of Mathematical Physics, 57 (9) 092104, 092104. doi: 10.1063/1.4962924

Quadratic algebra for superintegrable monopole system in a Taub-NUT space

2016

Journal Article

Recurrence approach and higher rank cubic algebras for the N-dimensional superintegrable systems

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2016). Recurrence approach and higher rank cubic algebras for the N-dimensional superintegrable systems. Journal of Physics A: Mathematical and Theoretical, 49 (12) 125201, 1-12. doi: 10.1088/1751-8113/49/12/125201

Recurrence approach and higher rank cubic algebras for the N-dimensional superintegrable systems

2016

Conference Publication

Family of N-dimensional superintegrable systems and quadratic algebra structures

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2016). Family of N-dimensional superintegrable systems and quadratic algebra structures. 23rd International Conference on Integrable Systems and Quantum Symmetries, ISQS 2015, Prague, Czech Republic, 23 - 27 June 2015. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/670/1/012024

Family of N-dimensional superintegrable systems and quadratic algebra structures

2015

Journal Article

A new family of N dimensional superintegrable double singular oscillators and quadratic algebra Q(3) ⊕ so(n) ⊕ so(N-n)

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2015). A new family of N dimensional superintegrable double singular oscillators and quadratic algebra Q(3) ⊕ so(n) ⊕ so(N-n). Journal of Physics A: Mathematical and Theoretical, 48 (Art No.: 445207) 445207, 273-&. doi: 10.1088/1751-8113/48/44/445207

A new family of N dimensional superintegrable double singular oscillators and quadratic algebra Q(3) ⊕ so(n) ⊕ so(N-n)

2015

Journal Article

On Nichols (braided) Lie algebras

Wu, Weicai, Zhang, Shouchuan and Zhang, Yao-Zhong (2015). On Nichols (braided) Lie algebras. International Journal of Mathematics, 26 (10) 1550082, 1550082. doi: 10.1142/S0129167X15500822

On Nichols (braided) Lie algebras

2015

Journal Article

Quadratic algebra structure and spectrum of a new superintegrable system in N-dimension

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2015). Quadratic algebra structure and spectrum of a new superintegrable system in N-dimension. Journal of Physics A: Mathematical and Theoretical, 48 (18) 185201, 1-16. doi: 10.1088/1751-8113/48/18/185201

Quadratic algebra structure and spectrum of a new superintegrable system in N-dimension

2015

Journal Article

Uncertainty relation in Schwarzschild spacetime

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2015). Uncertainty relation in Schwarzschild spacetime. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 743, 198-204. doi: 10.1016/j.physletb.2015.02.058

Uncertainty relation in Schwarzschild spacetime

2015

Journal Article

Relationship between nichols braided lie algebras and nichols algebras

Wu, Weicai, Zhang, Shouchuan and Zhang, Yao-Zhong (2015). Relationship between nichols braided lie algebras and nichols algebras. Journal of Lie Theory, 25 (1), 45-63.

Relationship between nichols braided lie algebras and nichols algebras

2014

Journal Article

Probing Planckian physics in de Sitter space with quantum correlations

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D., Fan, Heng, Sun, Cheng-Yi and Yang, Wen-Li (2014). Probing Planckian physics in de Sitter space with quantum correlations. Annals of Physics, 351, 872-899. doi: 10.1016/j.aop.2014.10.014

Probing Planckian physics in de Sitter space with quantum correlations