Results 21 to 30 of about 323 (66)

On the nature of Bose-Einstein condensation enhanced by localization [PDF]

, 2010
In a previous paper we established that for the perfect Bose gas and the mean-field Bose gas with an external random or weak potential, whenever there is generalized Bose-Einstein condensation in the eigenstates of the single particle Hamiltonian, there ...
Joseph V. Pulé, Lenoble O., Lenoble O., Reed M., Thomas Jaeck, Valentin A. Zagrebnov, Van den Berg M.   +6 more
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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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Free fermionic probability theory and k-theoretic schubert calculus

Forum of Mathematics, Sigma
For each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw   +2 more
doaj   +1 more source

Nonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model

, 2004
We propose a system of nonlinear integral equations (NLIE) which describes the thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz model. These NLIE correspond to a trigonometric analogue of our previous result (cond-mat/0212280), and contain only r ...
Babelon O., Batchelor M. T., Batchelor M. T., Batchelor M. T., Bazhanov V. V., Bühler A., Destri C., Destri C., Fujii A., Göhmann F., Jimbo M., Jüttner G., Kato G., Kirillov A. N., Kirillov A. N., Klümper A., Klümper A., Klümper A., Koma T., Kulish P. P., Kuniba A., Kuniba A., Kuniba A., Perk J. H. H., Rojas O., Schultz C. L., Shiroishi M., Sutherland B., Suzuki J., Suzuki M., Suzuki M., Takahashi M., Takahashi M., Takahashi M., Takahashi M., Tsuboi Z., Tsuboi Z., Uimin G. V., Ying Z.-J.   +38 more
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Bounded Littlewood identity related to alternating sign matrices

Forum of Mathematics, Sigma
An identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
doaj   +1 more source

Vertex--IRF correspondence and factorized L-operators for an elliptic R-operator

, 1994
As for an elliptic $R$-operator which satisfies the Yang--Baxter equation, the incoming and outgoing intertwining vectors are constructed, and the vertex--IRF correspondence for the elliptic $R$-operator is obtained.
A.A. Belavin, E.T. Whittaker, G. Felder, K. Hasegawa, K. Hasegawa, M. Jimbo, M.P. Richey, R. Baxter, R.C. Gunning, V.G. Kac, V.V. Bazhanov, Y. Quano, Y. Shibukawa, Y. Shibukawa, Y. Shibukawa, Youichi Shibukawa   +15 more
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On the TASEP with Second Class Particles [PDF]

, 2018
In this paper we study some conditional probabilities for the totally asymmetric simple exclusion processes (TASEP) with second class particles. To be more specific, we consider a finite system with one first class particle and $N-1$ second class ...
Lee, Eunghyun
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A system of difference equations with elliptic coefficients and Bethe vectors

, 1996
An elliptic analogue of the $q$ deformed Knizhnik-Zamolodchikov equations is introduced. A solution is given in the form of a Jackson-type integral of Bethe vectors of the XYZ-type spin chains.Comment: 20 pages, AMS-LaTeX ver.1.1 (amssymb), 15 figures in
A. Matsuo, B.-Y. Hou, B.L. Feigin, E. Date, E.K. Sklyanin, E.K. Skyanin, I.B. Frenkel, I.V. Cherednik, K. Aomoto, K. Hasegawa, L.A. Takhtajan, M. Jimbo, N.Yu. Reshetikhin, R.J. Baxter, T. Takebe, T. Takebe, Takashi Takebe   +16 more
core   +1 more source

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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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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