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Browsing Maestría by Author "Wagner, Elmar"

Browsing Maestría by Author "Wagner, Elmar"

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  • Cohen Puerta, Ismael Farid (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2012-08)
    There is no rigorous and universally accepted definition of the term quantum space. Without however, it is generally understood as certain deformations of classical objects associated with algebraic groups. We can illustrate ...
  • Ambriz Penn, Sergio Fidel (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2018-08)
    On the following thesis, the Fredholm’s index associated to the Dirac operator over the 2- sphere is going to be computed. By making use of Atiyah’s and Singer’s index theory, and by using projections, such computation for ...
  • Pérez Tarache, José Leonardo (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2014-08)
    Given a symplectic manifold M, geometric quantization assigns to real functions f 2 C1 (M) self-jointing operators bf on a Hilbert space such that the Poisson bracket defined by the symplectic form becomes the switch of ...
  • Laime Zanga, Hernán (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2014-02)
    In this thesis, start with four local charts of the flat torus and lift the transition function with the 2:1 covering map of the spin group to the especial orthogonal group, in order to obtain the four families, which are ...
  • Sierra Acosta, Arley Yessit (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2020-06)
    The generalized coherent states of Perelomov of the group pseudo-unitary 2 x 2-matrices with determinant equal to 1, SU(1; 1), have been widely studied for their importance in physics, but always on Hilbert spaces of ...
  • Lucio Peña, Perla Cecilia (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2011-06)
    To carry out the study of function algebras in non-commutative geometry, it is vital extend the classical tools, such as differential and integral calculus, transformations of symmetry, invariant measure, non-commutative ...
  • Carrillo Carvajal, Diego Alejandro (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2018-02)
    Kerin spaces as a generalization of Hilbert spaces, appear in the same way in different areas of physics where the main difference is the possibility of having an indefinite internal product and gain properties that in the ...
  • Esmeral García, Kevin Michael (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2011-08)
    In this project we will cover the Markings in Krein spaces. The research focuses on show that if you have Frames for Krein spaces you have Frames for Hilbert space partner and vice versa. It is also analyzed what happens ...
  • Villa Morales, José Antonio (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2015-06)
    Given a differentiable manifold M and a mechanical system in the configuration space T M is possible to formulate the given mechanical system based in the Lagrangian and Hamiltonian formalism and study the equivalence ...
  • Ortiz Ávila, Alfonso (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2014-04)
    Given a spin manifold with Riemannian metric g, the Dirac operator in the conformal metric e2hg is computed in terms of the one in g using local coordinates. The relation between the Dirac operators of the conformably ...
  • Díaz García, Fredy (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2016-01)
    We study differential operators and multiplication operators associated to the momentum operator P and position operator Q of the quantum mechanics on 1 dimension. These operators are studied on the intervals [a; b], [0; ...
  • López Pérez, Mario Alejandro (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2018-08)
    In this work we develope the basic concepts needed for K-theory of C_-algebras, presenting before, as an introduction, a discusion on vector bundles, topological K-theory and Serre- Swan’s Theorem; we conclude with the ...

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