Results 61 to 70 of about 1,278,901 (285)

Bihamiltonian geometry and separation of variables for Toda lattices [PDF]

, 2000
We discuss the bihamiltonian geometry of the Toda lattice (periodic and open). Using some recent results on the separation of variables for bihamiltonian manifolds, we show that these systems can be explicitly integrated via the classical Hamilton-Jacobi
Falqui, G., Magri, F., Pedroni, M.
core   +5 more sources

Parent Quality of Life at Two Years Following Their Child's Completion of Acute Lymphoblastic Leukemia Treatment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Parents of children treated for acute lymphoblastic leukemia (ALL) often experience significant caregiver burden and disruption to their well‐being. While parent quality of life (QoL) during treatment is well characterized, little is known about outcomes during early survivorship.
Sara Dal Pra, Maria McCarthy, Michael Takagi, Cinzia De Luca   +3 more
wiley   +1 more source

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
doaj  

Fundamental Solution of Laplace's Equation in Hyperspherical Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2011
Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator.
Howard S. Cohl
doaj   +1 more source

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, Abdelhalim Ebaid, Ebrahem A. Algehyne, Yussri M. Mahrous, Carlo Cattani, Hind K. Al-Jeaid   +5 more
doaj   +1 more source

Surface operators and separation of variables [PDF]

Journal of High Energy Physics, 2016
Alday, Gaiotto, and Tachikawa conjectured relations between certain 4d N=2 supersymmetric field theories and 2d Liouville conformal field theory. We study generalizations of these relations to 4d theories with surface operators. For one type of surface operators the corresponding 2d theory is the WZW model, and for another type - the Liouville theory ...
Frenkel, Edward, Gukov, Sergei, Teschner, Jörg   +2 more
openaire   +7 more sources

Hyperspherical Harmonics, Separation of Variables and the Bethe Ansatz [PDF]

, 1994
The relation between solutions to Helmholtz's equation on the sphere $S^{n-1}$ and the $[{\gr sl}(2)]^n$ Gaudin spin chain is clarified. The joint eigenfuctions of the Laplacian and a complete set of commuting second order operators suggested by the $R$--
A. J. Macfarlane, A. O. Barut, D. Basu, E. G. Kalnins, E. G. Kalnins, E. K. Sklyanin, G. Szegö, J. Harnad, J. Harnad, J. Patera, J. W. B. Hughes, L. D. Faddeev, L. Gagnon, M. Gaudin, M. Gaudin, M. R. Adams, M. R. Adams, M. R. Adams, M. R. Adams, M. R. Adams, N. J. Vilenkin, O. Babelon, P. Winternitz, S. Sternberg, V. B. Kuznetsov, V. B. Kuznetsov   +25 more
core   +2 more sources

Upacicalcet: A Novel Intravenous Calcimimetic Agent for Patients Undergoing Hemodialysis With Secondary Hyperparathyroidism

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Secondary hyperparathyroidism (SHPT) is a common complication in patients receiving maintenance dialysis, driven by calcium and phosphate metabolism disturbances. Calcimimetics are central to the management of SHPT by enhancing calcium‐sensing receptor sensitivity and reducing parathyroid hormone secretion.
Fumihiko Koiwa, Daisuke Honda, Seigo Akari, Tadao Akizawa   +3 more
wiley   +1 more source

Application of the Chebyshev collocation method to solve boundary value problems of heat conduction

Discrete and Continuous Models and Applied Computational Science
For one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem into two subproblems.
Konstantin P. Lovetskiy, Stepan V. Sergeev, Dmitry S. Kulyabov, Leonid A. Sevastianov   +3 more
doaj   +1 more source

Complex variables for separation of Hamilton-Jacobi equation on real pseudo-Riemannian manifolds

, 2006
In this paper the geometric theory of separation of variables for time-independent Hamilton-Jacobi equation is extended to include the case of complex eigenvalues of a Killing tensor on pseudo-Riemannian manifolds.
Degiovanni, Luca, Rastelli, Giovanni
core   +1 more source