Results 51 to 60 of about 166,676,583 (294)
On quantum separation of variables beyond fundamental representations
SciPost Physics, 2021 We describe the extension, beyond fundamental representations of the Yang-Baxter algebra, of our new construction of separation of variables bases for quantum integrable lattice models.
Jean Michel Maillet, Giuliano Niccoli
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
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Separation of Variables for Symplectic Characters [PDF]
Letters in Mathematical Physics, 2011 We perform separation of variables for the symplectic Weyl character using Sklyanin's scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitly construct the separating operator using the Q-operator method. We also construct the inverse of the separating operator, as well as the factorised Hamiltonian.
de Gier, Jan, Ponsaing, Anita
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A Note on the Rotationally Symmetric SO(4) Euler Rigid Body
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We consider an SO(4) Euler rigid body with two 'inertia momenta' coinciding. We study it from the point of view of bihamiltonian geometry. We show how to algebraically integrate it by means of the method of separation of variables.
Gregorio Falqui
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Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP
Journal of Optimization, Differential Equations and Their Applications, 2022 The separation of variables based solution to a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle, has been presented ...
Vladimir L. Borsch, Peter I. Kogut
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FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
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Diophantine equations in separated variables [PDF]
Periodica Mathematica Hungarica, 2017 We study Diophantine equations of type f ( x ) = g ( y ) , where both f and g have at least two distinct critical points (roots of the derivative) and equal critical values at at most two distinct critical points. Various classical families of polynomials ( f n ) n are such that f n satisfies these assumptions for all n.
Dijana Kreso, Robert F. Tichy
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Jacobi elliptic coordinates, functions of Heun and Lame type and the Niven transform [PDF]
, 2005 Lame and Heun functions arise via separation of the Laplace equation in general Jacobi ellipsoidal or conical coordinates. In contrast to hypergeometric functions that also arise via variable separation in the Laplace equation, Lame and Heun functions ...
Kalnins, Ernie G. +3 more
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The Mittag-Leffler Function for Re-Evaluating the Chlorine Transport Model: Comparative Analysis
Fractal and Fractional, 2022 This paper re-investigates the mathematical transport model of chlorine used as a water treatment model, when a variable order partial derivative is incorporated for describing the chlorine transport system.
Abdulrahman F. Aljohani +5 more
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Calpain small subunit homodimerization is robust and calcium‐independent
FEBS Letters, EarlyView.Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
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