Results 11 to 20 of about 42 (41)

Quantum relativistic Toda chain

open access: yesJournal of Applied Mathematics, Volume 1, Issue 2, Page 47-68, 2001., 2001
Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra‐local Weyl algebra is associated. Weyl’s q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six‐vertex R‐matrix.
G. Pronko, Sergei Sergeev
wiley   +1 more source

Inhomogeneous isotropic quantum spin chain associated with the difference Lamé equation

open access: yesForum of Mathematics, Sigma
The spectrum and orthogonal eigenbasis are computed of a tridiagonal matrix encoding a finite-dimensional reduction of the difference Lamé equation at the single-gap integral value of the coupling parameter.
Jan Felipe van Diejen
doaj   +1 more source

Free fermionic probability theory and k-theoretic schubert calculus

open access: yesForum 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   +2 more
doaj   +1 more source

Bounded Littlewood identity related to alternating sign matrices

open access: yesForum 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

Simetría y nuevas soluciones de la ecuación de vibraciones de una viga elástica

open access: yesIngeniería 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  

Matrix Whittaker processes. [PDF]

open access: yesProbab Theory Relat Fields, 2023
Arista J, Bisi E, O'Connell N.
europepmc   +1 more source

Miura opers and critical points of master functions

open access: yesOpen Mathematics, 2005
Mukhin Evgeny, Varchenko Alexander
doaj   +1 more source

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