Zobrazeno 1 - 10
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pro vyhledávání: '"Ríos, Pedro"'
Publikováno v:
Advances in Mathematics 374 (2020) 107326 [open access]
Given a Lagrangian submanifold $L$ of the affine symplectic $2n$-space, one can canonically and uniquely define a center-chord and a special improper affine sphere of dimension $2n$, both of whose sets of singularities contain $L$. Although these imp
Externí odkaz:
http://arxiv.org/abs/1906.03127
Akademický článek
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Publikováno v:
In Advances in Mathematics 18 November 2020 374
Autor:
Rios, Pedro de M, Straume, Eldar
Publikováno v:
Symbol Correspondences for Spin Systems, Birkhauser, Basel, 2014 (ix+200pp)
The present monograph explores the correspondence between quantum and classical mechanics in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems. Here, a detailed presentation of quantum spin-j systems, with emphasis o
Externí odkaz:
http://arxiv.org/abs/1402.7051
Publikováno v:
Journal of Mathematical Analysis and Applications 421 (2015) 1803-1826
There are exactly two different types of bi-dimensional improper affine spheres: the non-convex ones can be modeled by the center-chord transform of a pair of planar curves while the convex ones can be modeled by a holomorphic map. In this paper, we
Externí odkaz:
http://arxiv.org/abs/1212.4722
Publikováno v:
J. of Geometry and Physics, 71 (2013) 58-72
We study the Wigner caustic on shell of a Lagrangian submanifold L of affine symplectic space. We present the physical motivation for studying singularities of the Wigner caustic on shell and present its mathematical definition in terms of a generati
Externí odkaz:
http://arxiv.org/abs/1207.1068
Autor:
Rios, Pedro de M.
We investigate the commutativity of global products of functions on the two-sphere from the point of view of a construction started in [RT] and named the skewed product. We complete the construction of the skewed product of functions on the sphere an
Externí odkaz:
http://arxiv.org/abs/0811.0680
Publikováno v:
Progress in Mathematics 232 (2005) 75-120 [revised version]
A nonholonomic system consists of a configuration space Q, a Lagrangian L, and an nonintegrable constraint distribution H, with dynamics governed by Lagrange-d'Alembert's principle. We present two studies both using adapted moving frames. In the firs
Externí odkaz:
http://arxiv.org/abs/math-ph/0408005
Autor:
Rios, Pedro de M.
Publikováno v:
J. Phys. A, 40 (2007) F1047-F1052
For a maximally entangled eigenstate of a system of two non-interacting identical one dimensional harmonic oscilators, at the semiclassical level, it is not obviously true that a nonlinear interaction with one of the subsystems leaves the reduced sem
Externí odkaz:
http://arxiv.org/abs/math-ph/0212014
Autor:
Rios, Pedro de M., Koiller, Jair
Non-holonomic mechanical systems can be described by a degenerate almost-Poisson structure (dropping the Jacobi identity) in the constrained space. If enough symmetries transversal to the constraints are present, the system reduces to a nondegenerate
Externí odkaz:
http://arxiv.org/abs/math-ph/0203013