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## Nishino, Akinori

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 Author ID: nishino.akinori Published as: Nishino, Akinori
 Documents Indexed: 17 Publications since 1998

#### Co-Authors

 0 single-authored 12 Wadati, Miki 11 Ujino, Hideaki 4 Komori, Yasushi 3 Deguchi, Tetsuo 1 Umeno, Yukiko
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#### Serials

 3 Nuclear Physics. B 3 Journal of the Physical Society of Japan 2 Journal of Statistical Physics 2 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Journal of Physics A: Mathematical and General 1 Journal of Mathematical Physics 1 Studies in Applied Mathematics
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#### Fields

 12 Special functions (33-XX) 10 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 2 Nonassociative rings and algebras (17-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX)

#### Citations contained in zbMATH Open

14 Publications have been cited 46 times in 36 Documents Cited by Year
The $$L(\mathfrak{sl}_2)$$ symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model. Zbl 1160.81395
Nishino, Akinori; Deguchi, Tetsuo
2006
Chiral nonlinear Schrödinger equation. Zbl 0932.35190
Nishino, Akinori; Umeno, Yukiko; Wadati, Miki
1998
An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model. Zbl 1161.82006
Nishino, Akinori; Deguchi, Tetsuo
2008
Bosonic and fermionic eigenstates for generalized Sutherland models. Zbl 0954.81069
2000
An algebraic study on the $$A_{N-1}$$- and $$B_ N$$-Calogero models with bosonic, fermionic and distinguishable particles. Zbl 1129.33308
Nishino, Akinori; Ujino, Hideaki
2001
Rodrigues formulas for the non-symmetric multivariable polynomials associated with the $$\text{BC}_N$$-type root system. Zbl 0951.33011
Nishino, Akinori; Ujino, Hideaki; Komori, Yasushi; Wadati, Miki
2000
Symmetric Fock space and orthogonal symmetric polynomials associated with the Calogero model. Zbl 1002.81012
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
2000
Rodrigues formula for the nonsymmetric multivariable Laguerre polynomial. Zbl 0945.33010
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
1999
Fock spaces for the Calogero models with distinguishable particles. Zbl 0943.81056
Ujino, Hideaki; Nishino, Akinori; Wadati, Miki
1998
Symmetric and non-symmetric bases of quantum integrable particle systems with long-range interactions. Zbl 0981.81076
Wadati, Miki; Nishino, Akinori; Ujino, Hideaki; Komori, Yasushi
2001
New nonsymmetric orthogonal basis for the Calogero model with distinguishable particles. Zbl 0941.81058
Ujino, Hideaki; Nishino, Akinori; Wadati, Miki
1998
An algebraic approach to the non-symmetric Macdonald polynomial. Zbl 0957.33012
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
1999
An algebraic approach to Macdonald-Koornwinder polynomials: Rodrigues-type formula and inner product identity. Zbl 1017.33008
Nishino, Akinori; Komori, Yasushi
2001
Completeness of Bethe ansatz for 1D Hubbard model with ab-flux through combinatorial formulas and exact enumeration of eigenstates. Zbl 1149.82310
Nishino, Akinori; Deguchi, Tetsuo
2004
An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model. Zbl 1161.82006
Nishino, Akinori; Deguchi, Tetsuo
2008
The $$L(\mathfrak{sl}_2)$$ symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model. Zbl 1160.81395
Nishino, Akinori; Deguchi, Tetsuo
2006
Completeness of Bethe ansatz for 1D Hubbard model with ab-flux through combinatorial formulas and exact enumeration of eigenstates. Zbl 1149.82310
Nishino, Akinori; Deguchi, Tetsuo
2004
An algebraic study on the $$A_{N-1}$$- and $$B_ N$$-Calogero models with bosonic, fermionic and distinguishable particles. Zbl 1129.33308
Nishino, Akinori; Ujino, Hideaki
2001
Symmetric and non-symmetric bases of quantum integrable particle systems with long-range interactions. Zbl 0981.81076
Wadati, Miki; Nishino, Akinori; Ujino, Hideaki; Komori, Yasushi
2001
An algebraic approach to Macdonald-Koornwinder polynomials: Rodrigues-type formula and inner product identity. Zbl 1017.33008
Nishino, Akinori; Komori, Yasushi
2001
Bosonic and fermionic eigenstates for generalized Sutherland models. Zbl 0954.81069
2000
Rodrigues formulas for the non-symmetric multivariable polynomials associated with the $$\text{BC}_N$$-type root system. Zbl 0951.33011
Nishino, Akinori; Ujino, Hideaki; Komori, Yasushi; Wadati, Miki
2000
Symmetric Fock space and orthogonal symmetric polynomials associated with the Calogero model. Zbl 1002.81012
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
2000
Rodrigues formula for the nonsymmetric multivariable Laguerre polynomial. Zbl 0945.33010
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
1999
An algebraic approach to the non-symmetric Macdonald polynomial. Zbl 0957.33012
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
1999
Chiral nonlinear Schrödinger equation. Zbl 0932.35190
Nishino, Akinori; Umeno, Yukiko; Wadati, Miki
1998
Fock spaces for the Calogero models with distinguishable particles. Zbl 0943.81056
Ujino, Hideaki; Nishino, Akinori; Wadati, Miki
1998
New nonsymmetric orthogonal basis for the Calogero model with distinguishable particles. Zbl 0941.81058
Ujino, Hideaki; Nishino, Akinori; Wadati, Miki
1998
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#### Cited by 57 Authors

 4 Deguchi, Tetsuo 4 Nishino, Akinori 3 Basu-Mallick, Bireswar 3 Biswas, Anjan 3 Ujino, Hideaki 2 Komori, Yasushi 2 Matsui, Chihiro 2 Roan, Shih-shyr 2 Wadati, Miki 1 Abro, Kashif Ali 1 Al-Basyouni, Khalil S. 1 Awan, Aziz Ullah 1 Aydin, Ayhan 1 Bagarello, Fabio 1 Banerjee, Pratyay 1 Baseilhac, Pascal 1 Batchelor, Murray T. 1 Baxter, Rodney J. 1 Chen, Xinhong 1 Genest, Vincent X. 1 Groenevelt, Wolter G. M. 1 Grosjean, Nicolas 1 Güngöz, Ufuk 1 Gupta, Kumar Sankar 1 Henry, Robert A. 1 Ismail, Mohammad S. 1 Ito, Tatsuro 1 Khansai, Nattawut 1 Koonprasert, Sanoe 1 Lapointe, Luc 1 Liu, Zi-Zhong 1 López, José Luis 1 Lu, Ming 1 Maillet, Jean-Michel 1 Meljanac, Stjepan 1 Niccoli, Giuliano 1 Pakuliak, Stanislav Z. 1 Rej, Adam 1 Samsarov, Andjelo 1 Serban, Didina 1 Sirisubtawee, Sekson 1 Staudacher, Matthias 1 Terwilliger, Paul M. 1 Torvattanabun, Montri 1 Tuz, Münevver 1 van Diejen, Jan Felipe 1 Vinet, Luc 1 Von Gehlen, Günter 1 Vu, Thi Thao 1 Wazwaz, Abdul-Majid Abdul-Rahman 1 Wu, Ke 1 Xu, Yuan 1 Yan, Zhaowen 1 Yokus, Asif 1 Zhang, Chunhong 1 Zhao, Weizhong 1 Zhou, Huanqiang
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#### Cited in 24 Serials

 4 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Mathematical Physics 3 Journal of Statistical Physics 3 Nuclear Physics. B 2 International Journal of Modern Physics B 2 International Journal of Theoretical Physics 2 Chaos, Solitons and Fractals 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Physics Letters. B 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Selecta Mathematica. New Series 1 Journal of Difference Equations and Applications 1 European Journal of Mechanics. B. Fluids 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Thai Journal of Mathematics 1 Boundary Value Problems 1 The European Physical Journal C. Particles and Fields
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#### Cited in 14 Fields

 19 Quantum theory (81-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Nonassociative rings and algebras (17-XX) 7 Partial differential equations (35-XX) 6 Special functions (33-XX) 2 Group theory and generalizations (20-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)