Hirota-Miwa difference equations - 편집 역사

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 * Zabrodin, A. V. 1997. “Bethe Ansatz and Classical Hirota Equations.” In Proceedings of the Second International A. D. Sakharov Conference on Physics (Moscow, 1996), 627–632. World Sci. Publ., River Edge, NJ. http://arxiv.org/abs/hep-th/9607162.
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 ==articles==

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 ==introduction==
-* how to identify the standard objects of quantum integrable systems (transfer matrices, Baxter's $Q$-operators, etc.) with elements of classical nonlinear integrable difference equations ($\tau$-functions, Baker-Akhiezer functions, etc.).
+* how to identify the standard objects of quantum integrable systems (transfer matrices, Baxter's <math>Q</math>-operators, etc.) with elements of classical nonlinear integrable difference equations (<math>\tau</math>-functions, Baker-Akhiezer functions, etc.).
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 * Elliptic solutions of Hirota's equation give a complete set of eigenvalues of the quantum transfer matrices.
 * The elliptic solutions relevant to the Bethe ansatz are studied.
-* The nested Bethe ansatz equations for $A_{k−1}$-type models appear as discrete time equations of motions for zeros of classical $\tau$-functions and Baker-Akhiezer functions.
+* The nested Bethe ansatz equations for <math>A_{k−1}</math>-type models appear as discrete time equations of motions for zeros of classical <math>\tau</math>-functions and Baker-Akhiezer functions.
 * Determinant representations of the general solution to the bilinear discrete Hirota equation are analysed and a new determinant formula for eigenvalues of the quantum transfer matrices is obtained.
-===Baxter $Q$-operator===
+===Baxter <math>Q</math>-operator===
-* Eigenvalues of Baxter's $Q$-operator are solutions to the auxiliary linear problems for the classical Hirota equation.
+* Eigenvalues of Baxter's <math>Q</math>-operator are solutions to the auxiliary linear problems for the classical Hirota equation.
-* Difference equations for eigenvalues of the $Q$-operators which generalize Baxter's three-term $T-Q$-relation are derived
+* Difference equations for eigenvalues of the <math>Q</math>-operators which generalize Baxter's three-term <math>T-Q</math>-relation are derived

← 이전 판		2020년 11월 14일 (토) 05:18 판
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	[[분류:math and physics]]		[[분류:math and physics]]
	[[분류:Integrable systems]]		[[분류:Integrable systems]]
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 * Wiegmann, P. 1997. “Bethe Ansatz and Classical Hirota Equation.” International Journal of Modern Physics B 11 (01n02) (January 20): 75–89. doi:10.1142/S0217979297000101.
 * Zabrodin, A. V. 1997. “Hirota’s Difference Equations.” Theoretical and Mathematical Physics 113 (2) (November 1): 1347–1392. doi:10.1007/BF02634165. http://arxiv.org/abs/solv-int/9704001
-* Zabrodin, A. V. 1996. “Bethe Ansatz and Classical Hirota Equations.” arXiv:hep-th/9607162 (July 18). http://arxiv.org/abs/hep-th/9607162.
+* Zabrodin, A. V. 1997. “Bethe Ansatz and Classical Hirota Equations.” In Proceedings of the Second International A. D. Sakharov Conference on Physics (Moscow, 1996), 627–632. World Sci. Publ., River Edge, NJ. http://arxiv.org/abs/hep-th/9607162.

← 이전 판		2013년 12월 17일 (화) 12:48 판
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	* [[Determinant solutions of T-systems]]		* [[Determinant solutions of T-systems]]
	* [[Octahedral recurrence]]		* [[Octahedral recurrence]]
		+	* [[Difference L-operators and TT-relations]]

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 ==articles==
-* Krichever, I., O. Lipan, P. Wiegmann, and A. Zabrodin. 1996. “Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations”. ArXiv e-print hep-th/9604080. http://arxiv.org/abs/hep-th/9604080.
+* Krichever, I., O. Lipan, P. Wiegmann, and A. Zabrodin. 1997. “Quantum Integrable Models and Discrete Classical Hirota Equations.” Communications in Mathematical Physics 188 (2): 267–304. doi:10.1007/s002200050165. http://arxiv.org/abs/hep-th/9604080.
 * T. Miwa, Proc. Japan. Acad. 58, 9 (1982).
 * R. Hirota, Discrete analogue of a generalized Toda equation, J. Phys. Soc. Jpn. 50, 3785 (1981).
 [[분류:math and physics]]
 [[분류:Integrable systems]]

← 이전 판		2013년 12월 17일 (화) 12:31 판
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	* R. Hirota, Discrete analogue of a generalized Toda equation, J. Phys. Soc. Jpn. 50, 3785 (1981).		* R. Hirota, Discrete analogue of a generalized Toda equation, J. Phys. Soc. Jpn. 50, 3785 (1981).
	[[분류:math and physics]]		[[분류:math and physics]]
		+	[[분류:Integrable systems]]