Results 1 to 10 of about 319 (51)
Quantum relativistic Toda chain at root of unity: isospectrality, modified Q-operator, and functional Bethe ansatz [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 9, Page 513-553, 2002., 2002 We investigate an N-state spin model called quantum relativistic Toda chain and based on the unitary finite-dimensional representations of the Weyl algebra with q being Nth primitive root of unity.
S. Pakuliak, S. Sergeev
semanticscholar +2 more sources
On Araki's extension of the Jordan-Wigner transformation [PDF]
Reviews in Mathematical Physics, 2022 In his seminal paper [1], Araki introduced an elegant extension of the Jordan-Wigner transformation which establishes a precise connection between quantum spin systems and Fermi lattice gases in one dimension in the so-called infinite system idealization
W. Aschbacher
semanticscholar +1 more source
Derangement model of ligand-receptor binding
Computational and Mathematical Biophysics, 2022 We introduce a derangement model of ligand-receptor binding that allows us to quantitatively frame the question “How can ligands seek out and bind to their optimal receptor sites in a sea of other competing ligands and suboptimal receptor sites?” To ...
Williams Mobolaji
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Crystal Bases for Quantum Affine Algebras and Combinatorics of Young Walls [PDF]
, 2002 In this paper we give a realization of crystal bases for quantum affine algebras using some new combinatorial objects which we call the Young walls. The Young walls consist of colored blocks with various shapes that are built on a given ground‐state wall
Seok-Jin Kang
semanticscholar +1 more source
Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 693-715, August 2020., 2020 Abstract Let g be a finite‐dimensional semisimple complex Lie algebra and θ an involutive automorphism of g. According to Letzter, Kolb and Balagović the fixed‐point subalgebra k=gθ has a quantum counterpart B, a coideal subalgebra of the Drinfeld–Jimbo quantum group Uq(g) possessing a universal K‐matrix K.
Vidas Regelskis, Bart Vlaar
wiley +1 more source
HALF-SPACE MACDONALD PROCESSES
Forum of Mathematics, Pi, 2020 Macdonald processes are measures on sequences of integer partitions built using the Cauchy summation identity for Macdonald symmetric functions. These measures are a useful tool to uncover the integrability of many probabilistic systems, including the ...
GUILLAUME BARRAQUAND +2 more
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Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain [PDF]
, 2010 We calculate the low temperature asymptotics of a function $\gamma$ that generates the temperature dependence of all static correlation functions of the isotropic Heisenberg chain.Comment: Proceedings of the International Workshop "Recent Advances in ...
Crampé, Nicolas +2 more
core +6 more sources
Quantization scheme for modular q-difference equations [PDF]
, 2004 Modular pairs of some second order q-difference equations are considered. These equations may be interpreted as a quantum mechanics of a sort of hyperelliptic pendulum.
Sergeev, S.
core +2 more sources
An Analytic Formula for the A_2 Jack Polynomials [PDF]
, 2007 In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482, math.CA/0306242] on separation of variables for the $A_n$ Jack polynomials.
Mangazeev, Vladimir V.
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YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS
Forum of Mathematics, Sigma, 2019 Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $U_{q}(\widehat{\mathfrak{sl}_{2}})$.
ALEXEY BUFETOV, LEONID PETROV
doaj +1 more source