## Browsing by Author Botelho, Luiz C. L.

Showing results 1 to 5 of 5

Preview | Title | Author(s) | ???itemlist.dc.contributor.author1??? | Issue Date | ???itemlist.dc.description.resumo??? |
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A Comment about the existence of a weak solution for a nonlinear Wave Damped Propagation | Botelho, Luiz C. L. | - | 2008 | We give a proof for the existence of weak solutions on the initial-value problem of a non-linear wave damped propagation. | |

Critical String wave equations and the QCD(U(Nc)) string (some comments) | Botelho, Luiz C. L. | - | 2009 | We present a simple proof that self-avoiding fermionic strings solutions solve formally (in a Quantum Mechanical Framework) the $QCD(U(N_c))$ Loop Wave Equation written in terms of random loops. | |

On the Banach-Stone theorem and the manifold topological classification | Botelho, Luiz C. L. | - | 2009 | We present a simple set-theoretic proof of the Banach-Stone Theorem. We thus apply this Topological Classification theorem to the still-unsolved problem of topological classification of Euclidean Manifolds through two conjectures and additionaly we give a straightforward proof of the famous Brower theorem for manifolds topologically classified by their Euclidean dimensions. \noindent We start our comment announcing the:\noindent{\bf Banach-Stone Theorem} ([1]). Let $X$ and $Y$ be compact Hausdorff spaces, such that the associated function algebras of continuous functions $C(X,R)$ and $C(Y,R)$ separate points in $X$ and $Y$ respectively. We have thus \noindent a)\quad $X$ and $Y$ are homeomorphic $\Leftrightarrow$ \noindent b)\quad $C(X,R)$ and $C(Y,R)$ are isomorphic. | |

Some comments on rigorous quantum field path integrals in the analytical regularization scheme | Botelho, Luiz C. L. | - | 2008 | Through the systematic use of the Minlos theorem on the support of cylindrical measures on $R^\infty$, we produce several mathematically rigorous path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalized powers of the Laplacean operator. | |

Triviality - quantum decoherence of Fermionic quantum chromodynamics SU (Nc) in the presence of an external strong U([infinito]) flavored constant noise field | Botelho, Luiz C. L. | Centro Brasileiro de Pesquisas Físicas (CBPF) | 2008 | We analyze the triviality-quantum decoherence of Euclidean quantum chromodynamics in the gauge invariant quark current sector in the presence of an external flavor constant charged white noise reservoir. |

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