Results 21 to 30 of about 33,489 (278)
Generalized Ellipsoidal and Sphero-Conal Harmonics [PDF]
, 2006 Classical ellipsoidal and sphero-conal harmonics are polynomial solutions of the Laplace equation that can be expressed in terms of Lame polynomials. Generalized ellipsoidal and sphero-conal harmonics are polynomial solutions of the more general Dunkl ...
Volkmer, Hans
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Integrability of Stochastic Birth-Death processes via Differential Galois Theory [PDF]
, 2019 Stochastic birth-death processes are described as continuous-time Markov processes in models of population dynamics. A system of infinite, coupled ordinary differential equations (the so-called master equation) describes the time-dependence of the ...
Acosta-Humanez, Primitivo B. +2 more
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An Additive Basis for the Chow Ring of \bar{M}_{0,2}(P^r,2) [PDF]
, 2007 We begin a study of the intersection theory of the moduli spaces of degree two stable maps from two-pointed rational curves to arbitrary-dimensional projective space.
Cox, Jonathan A.
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Integration of polynomials [PDF]
Applicationes Mathematicae, 2004 Summary: We prove that the only functions for which certain standard numerical integration formulas are exact are polynomials.
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An algorithm for analysis of the structure of finitely presented Lie algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 We consider the following problem: what is the most general Lie algebra satisfying a given set of Lie polynomial equations? The presentation of Lie algebras by a finite set of generators and defining relations is one of the most general mathematical and ...
Vladimir P. Gerdt, Vladimir V. Kornyak
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Integrability and level crossing manifolds in a quantum Hamiltonian system [PDF]
, 1998 We consider a two-spin model, represented classically by a nonlinear autonomous Hamiltonian system with two degrees of freedom and a nontrivial integrability condition, and quantum mechanically by a real symmetric Hamiltonian matrix with blocks of ...
E. Magyari +12 more
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Double Yang-Baxter deformation of spinning strings
Journal of High Energy Physics, 2020 We study the reduction of classical strings rotating in the deformed three- sphere truncation of the double Yang-Baxter deformation of the AdS 3 ×S 3 ×T 4 background to an integrable mechanical model.
Rafael Hernández, Roberto Ruiz
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Integrability and Pseudo-Linearizable Conditions in a Quasi-Analytic System
Abstract and Applied Analysis, 2012 This paper deals with the problems of integrability and linearizable conditions at degenerate singular point in a class of quasianalytic septic polynomial differential system.
Feng Li, Yusen Wu
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Algebraic Bethe Ansatz for a discrete-state BCS pairing model [PDF]
, 2001 We show in detail how Richardson's exact solution of a discrete-state BCS (DBCS) model can be recovered as a special case of an algebraic Bethe Ansatz solution of the inhomogeneous XXX vertex model with twisted boundary conditions: by implementing the ...
D. C. Ralph +21 more
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q-Selberg Integrals and Koornwinder Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2022 We prove a generalization of the q-Selberg integral evaluation formula. The integrand is that of q-Selberg integral multiplied by a factor of the same form with respect to part of the variables. The proof relies on the quadratic norm formula of Koornwinder polynomials.
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