Results 31 to 40 of about 319 (51)

Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics

, 2007
The U_q(\hat{sl}_2) vertex model at q=0 with periodic boundary condition is an integrable cellular automaton in one-dimension. By the combinatorial Bethe ansatz, the initial value problem is solved for arbitrary states in terms of an ultradiscrete ...
A. Kuniba, A. Kuniba, A. Kuniba, A.N. Kirillov, Atsuo Kuniba, B.A. Dubrovin, C.S. Gardner, D. Mumford, D. Takahashi, D. Yoshihara, E. Date, G. Hatayama, G. Hatayama, H.A. Bethe, K. Fukuda, M. Jimbo, M. Kac, M. Kashiwara, R.J. Baxter, Reiho Sakamoto, T. Tokihiro   +20 more
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Exact results for the one-dimensional many-body problem with contact interaction: Including a tunable impurity [PDF]

, 2007
The one-dimensional problem of $N$ particles with contact interaction in the presence of a tunable transmitting and reflecting impurity is investigated along the lines of the coordinate Bethe ansatz.
Baxter R. J., N. CRAMPÉ, V. CAUDRELIER
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From the quantum Jacobi-Trudi and Giambelli formula to a nonlinear integral equation for thermodynamics of the higher spin Heisenberg model

, 2003
We propose a nonlinear integral equation (NLIE) with only one unknown function, which gives the free energy of the integrable one dimensional Heisenberg model with arbitrary spin.
Bazhanov V V, Domb C, Kirillov A N, Kirillov A N, Kirillov A N, Klümper A, Klümper A, Klümper A, Koma T, Kulish P P, Kuniba A, Sogo K, Suzuki J, Suzuki J, Suzuki M, Suzuki M, Takahashi M, Takahashi M, Takahashi M, Tsuboi Z, Zengo Tsuboi   +20 more
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Corner transfer matrices in statistical mechanics

, 2006
Corner transfer matrices are a useful tool in the statistical mechanics of simple two-dimensinal models. They can be very effective way of obtaining series expansions of unsolved models, and of calculating the order parameters of solved ones.
Baxter R J, Baxter R J, Baxter R J, Gradshteyn I S, Jimbo M, Onsager L, R J Baxter   +6 more
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Factorized domain wall partition functions in trigonometric vertex models [PDF]

, 2007
We obtain factorized domain wall partition functions for two sets of trigonometric vertex models: 1. The N-state Deguchi-Akutsu models, for N = {2, 3, 4} (and conjecture the result for all N >= 5), and 2. The sl(r+1|s+1) Perk-Schultz models, for {r, s = \
Caradoc A, Caradoc A, Dow A, Izergin A G, Korepin V E, Kuperberg G, M Wheeler, M Zuparic, O Foda   +8 more
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Simetría y nuevas soluciones de la ecuación de vibraciones de una viga elástica

Ingeniería y Ciencia, 2009
En este artículo se estudia la “no Lie” simetría de la ecuación de viga, se construyen todos los operadores de simetría diferenciales lineales, hasta tercer orden.
Nykolay Sukhomlin, José R. Alvarez
doaj  

Domain wall partition functions and KP

, 2009
We observe that the partition function of the six vertex model on a finite square lattice with domain wall boundary conditions is (a restriction of) a KP tau function and express it as an expectation value of charged free fermions (up to an overall ...
Baxter R J, Hirota R, Izergin A G, Kitanine N Kozlowski K K Maillet J M Slavnov N A Terras V, Kitanine N Maillet J M Slavnov N A Terras V, Korepin V E, Lascoux A, M Wheeler, M Zuparic, Macdonald I G, Miwa T, O Foda   +11 more
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Hall-Littlewood plane partitions and KP

, 2009
MacMahon's classic generating function of random plane partitions, which is related to Schur polynomials, was recently extended by Vuletic to a generating function of weighted plane partitions that is related to Hall-Littlewood polynomials, S(t), and ...
Foda, O, Wheeler, M
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Exactness of the Bogoliubov approximation in random external potentials

, 2010
We investigate the validity of the Bogoliubov c-number approximation in the case of interacting Bose-gas in a \textit{homogeneous random} media. To take into account the possible occurence of type III generalized Bose-Einstein condensation (i.e.
Bogoliubov N. N., Bogoliubov N. N., Fannes M., Lenoble O., Steele J. M., Thomas Jaeck, Valentin A. Zagrebnov, van den Berg M.   +7 more
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Matrix Whittaker processes. [PDF]

Probab Theory Relat Fields, 2023
Arista J, Bisi E, O'Connell N.
europepmc   +1 more source