Yang-Baxter equation (YBE) - 편집 역사

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Pythagoras0: /* 메타데이터 */ 새 문단

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메타데이터: 새 문단

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imported>Pythagoras0: /* expositions */

2015-06-12T05:22:39Z

expositions

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2015-04-22T07:18:46Z

articles

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2015-03-03T00:43:45Z

articles

imported>Pythagoras0: /* articles */

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2014-12-03T12:38:37Z

articles

@@ 138번째 줄: / 138번째 줄: @@
 [[분류:migrate]]
-== 메타데이터 ==
+==메타데이터==
 ===위키데이터===
 * ID :  [https://www.wikidata.org/wiki/Q4476530 Q4476530]

@@ 85번째 줄: / 85번째 줄: @@
 * [[R-matrix]]
 * https://docs.google.com/file/d/0B8XXo8Tve1cxdDk5Rm9DQy1nelk/edit
-−
 ==encyclopedia==
@@ 101번째 줄: / 101번째 줄: @@
 * knots+physics
 * two-dimensional+physics
-−
 ==expositions==
@@ 112번째 줄: / 112번째 줄: @@
 * Jimbo, Michio. 1989. “Introduction to the Yang-Baxter Equation.” International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology. Nuclear Physics 4 (15): 3759–3777. doi:10.1142/S0217751X89001503. http://www.worldscientific.com/doi/abs/10.1142/S0217751X89001503
-−
 ==articles==
@@ 123번째 줄: / 123번째 줄: @@
 * Belavin, A. A., and V. G. Drinfel’d. 1982. “Solutions of the Classical Yang - Baxter Equation for Simple Lie Algebras.” Functional Analysis and Its Applications 16 (3) (July 1): 159–180. doi:[http://dx.doi.org/10.1007/BF01081585 10.1007/BF01081585].
 * Kulish, P. P., N. Yu Reshetikhin, and E. K. Sklyanin. 1981. “Yang-Baxter Equation and Representation Theory: I.” Letters in Mathematical Physics 5 (5) (September 1): 393–403. doi:10.1007/BF02285311. http://dx.doi.org/10.1007/BF02285311
-* '''[Baxter1972]'''[http://dx.doi.org/10.1006/aphy.2000.6010 Partition Function of the Eight-Vertex Lattice Model]
+* '''[Baxter1972]'''[http://dx.doi.org/10.1006/aphy.2000.6010 Partition Function of the Eight-Vertex Lattice Model]
-**  Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972
+**  Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972
 * '''[Yang1967]'''[http://dx.doi.org/10.1103/PhysRevLett.19.1312 Some exact results for the many-body problem in one dimension with repulsive delta-function interaction]
-** C.N. Yang, Phys. Rev. Lett. 19 (1967), 1312-1315
+** C.N. Yang, Phys. Rev. Lett. 19 (1967), 1312-1315
 ==questions==

← 이전 판		2020년 12월 27일 (일) 12:18 판
137번째 줄:		137번째 줄:
	[[분류:quantum groups]]		[[분류:quantum groups]]
	[[분류:migrate]]		[[분류:migrate]]
		+
		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q4476530 Q4476530]

@@ 5번째 줄: / 5번째 줄: @@
 * in 1+1D S-matrix theory, the YBE is the condition for consistent factorization of the multiparticle S-matrix into two-particle factors
 ** see [[Exact S-matrices in ATFT]]
-* $R_{12}(u)R_{13}(u+v)R_{23}(v)=R_{23}(v)R_{13}(u+v)R_{12}(u)$
+* <math>R_{12}(u)R_{13}(u+v)R_{23}(v)=R_{23}(v)R_{13}(u+v)R_{12}(u)</math>
 *  for vertex models, YBE becomes the star-triangle relation
 *  see '''[Baxter1995] '''for a historical account
@@ 69번째 줄: / 69번째 줄: @@
 ==classical YBE==
-$$
+:<math>
 [X_{12}(u_1-u_2),X_{13}(u_1-u_3)]+[X_{13}(u_1-u_3),X_{23}(u_2-u_3)]+[X_{12}(u_1-u_2),X_{23}(u_2-u_3)]=0
-$$
+</math>
@@ 123번째 줄: / 123번째 줄: @@
 * Belavin, A. A., and V. G. Drinfel’d. 1982. “Solutions of the Classical Yang - Baxter Equation for Simple Lie Algebras.” Functional Analysis and Its Applications 16 (3) (July 1): 159–180. doi:[http://dx.doi.org/10.1007/BF01081585 10.1007/BF01081585].
 * Kulish, P. P., N. Yu Reshetikhin, and E. K. Sklyanin. 1981. “Yang-Baxter Equation and Representation Theory: I.” Letters in Mathematical Physics 5 (5) (September 1): 393–403. doi:10.1007/BF02285311. http://dx.doi.org/10.1007/BF02285311
-* '''[Baxter1972]'''[http://dx.doi.org/10.1006/aphy.2000.6010 Partition Function of the Eight-Vertex Lattice Model]<br>
+* '''[Baxter1972]'''[http://dx.doi.org/10.1006/aphy.2000.6010 Partition Function of the Eight-Vertex Lattice Model]
-**  Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972<br>
+**  Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972
-* '''[Yang1967]'''[http://dx.doi.org/10.1103/PhysRevLett.19.1312 Some exact results for the many-body problem in one dimension with repulsive delta-function interaction]<br>
+* '''[Yang1967]'''[http://dx.doi.org/10.1103/PhysRevLett.19.1312 Some exact results for the many-body problem in one dimension with repulsive delta-function interaction]
 ** C.N. Yang, Phys. Rev. Lett. 19 (1967), 1312-1315

← 이전 판		2020년 11월 13일 (금) 18:06 판
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	[[분류:math and physics]]		[[분류:math and physics]]
	[[분류:quantum groups]]		[[분류:quantum groups]]
		+	[[분류:migrate]]

@@ 104번째 줄: / 104번째 줄: @@
 ==expositions==
 * [http://mathlab.snu.ac.kr/~top/quantum/seminar/0521.pdf Yang-Baxter equation in Physics], 안창림
 * http://math.ucr.edu/home/baez/braids/node4.html

@@ 114번째 줄: / 114번째 줄: @@
 ==articles==
 * Chicherin, D., and S. Derkachov. ‘Matrix Factorization for Solutions of the Yang-Baxter Equation’. arXiv:1502.07923 [hep-Th, Physics:math-Ph], 27 February 2015. http://arxiv.org/abs/1502.07923.
 * Chicherin, D., S. E. Derkachov, and V. P. Spiridonov. “New Elliptic Solutions of the Yang-Baxter Equation.” arXiv:1412.3383 [hep-Th, Physics:math-Ph], December 10, 2014. http://arxiv.org/abs/1412.3383.