Zobrazeno 1 - 10
of 153
pro vyhledávání: '"de Lucas, Javier"'
k-Contact geometry appeared as a generalisation of contact geometry to analyse field theories. This work provides a new insightful approach to k-contact geometry by devising a theory of k-contact forms and proving that the kernel of a k-contact form
Externí odkaz:
http://arxiv.org/abs/2409.11001
By using the theory of analytic vectors and manifolds modelled on normed spaces, we provide a rigorous symplectic differential geometric approach to $t$-dependent Schr\"odinger equations on separable (possibly infinite-dimensional) Hilbert spaces det
Externí odkaz:
http://arxiv.org/abs/2312.09192
This work reviews the classical Darboux theorem for symplectic, presymplectic, and cosymplectic manifolds (which are used to describe regular and singular mechanical systems), and certain cases of multisymplectic manifolds, and extends it in new ways
Externí odkaz:
http://arxiv.org/abs/2306.08556
A known general class of superintegrable systems on 2D spaces of constant curvature can be defined by potentials separating in (geodesic) polar coordinates. The radial parts of these potentials correspond either to an isotropic harmonic oscillator or
Externí odkaz:
http://arxiv.org/abs/2207.08935
Autor:
de Lucas, Javier, Rivas, Xavier
We define and analyse the properties of contact Lie systems, namely systems of first-order differential equations describing the integral curves of a $t$-dependent vector field taking values in a finite-dimensional Lie algebra of Hamiltonian vector f
Externí odkaz:
http://arxiv.org/abs/2207.04038
Publikováno v:
J. Phys. A: Math. Theor. 55(29):295204, 2022
A Lie system is a non-autonomous system of first-order ordinary differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dimensional real Lie algebra of vector fields, a so-called Vessiot--Guldb
Externí odkaz:
http://arxiv.org/abs/2202.13748
Autor:
Ballesteros, Angel, Campoamor-Stursberg, Rutwig, Fernandez-Saiz, Eduardo, Herranz, Francisco J., de Lucas, Javier
Publikováno v:
J. Phys. A: Math. Theor. 54 (2021) 205202
The formalism for Poisson-Hopf (PH) deformations of Lie-Hamilton systems is refined in one of its crucial points concerning applications, namely the obtention of effective and computationally feasible PH deformed superposition rules for prolonged PH
Externí odkaz:
http://arxiv.org/abs/2101.00616
Publikováno v:
In Journal of Geometry and Physics September 2023 191
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