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scopus(43)
Extended Sobolev and Hilbert spaces and approximate stationary solutions for electronic systems within the non-linear Schrödinger equation
ArticleAbstract: The definition of Sobolev spaces, which has already been shown to be a convenient way to set up thePalabras claves:Extended Hilbert spaces, Kinetic energy distribution, N-electron wavefunctions, Nested sums formalism, Non-linear Schrödinger equation, Quantum self-similarity measures, Sobolev spacesAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusExtended density functions
ArticleAbstract: Density Functions play a fundamental role in the definition of Quantum Theory, due to this they arePalabras claves:Autores:Besalu E., Gironés X., Ramón Carbö-D̈orcaFuentes:scopusExtending molecular similarity to energy surfaces: Boltzmann similarity measures and indices
ArticleAbstract: Maxwell-Boltzmann statistics provides the adequate mathematical background allowing to define similaPalabras claves:Autores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusFunction extended spaces
ArticleAbstract: Extended function spaces defined over the real field are defined as vector spaces made by the CartesPalabras claves:Density function (DF), Function extended spaces (FES), Holographic electronic density theorem (HEDT), Holographic general function theorem (HGFT), Molecular fields, Quantum Similarity, Stereographic projection of quantum chemical functionsAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusFundamental quantum QSAR (Q<sup>2</sup>SAR) equation: Extensions, nonlinear terms and generalizations within extended Hilbert-Sobolev spaces
ArticleAbstract: The quantitative structure activity relationship (QSAR) equation was analyzed from the point of thePalabras claves:Extended expectation values, Extended Hilbert spaces, Extended quantum similarity measures, Extended Sobolev spaces, Extended wave functions, Quantum QSARAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusGeneralized one-electron spin functions and self-similarity measures
ArticleAbstract: A simple method for construction of eigenfunctions of one-electron spin angular momentum operators fPalabras claves:Coupling of angular momenta, One-electron spin functions, Quantum similarity measures, spin densityAutores:Besalu E., Karwowski J., Ramón Carbö-D̈orcaFuentes:scopusGeneration of molecular fields, quantum similarity measures and related questions
ArticleAbstract: A straightforward discussion on how to generate molecular fields is developed within the postulatesPalabras claves:Density functions, Electrostatic molecular potential, Quantum molecular fields, Quantum similarity fields, Quantum similarity measuresAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusGeometry of n-dimensional Euclidean space Gaussian enfoldments
ArticleAbstract: In this study the geometric features and relationships of the points contained into a Gaussian enfolPalabras claves:Enfoldment points, Gaussian enfoldment of n-dimensional Euclidean spaces, Generalized distances and angles in Gaussian enfoldments, Geometry of Gaussian enfoldment, Holographic electronic density theorem (HEDT), Multivariate Gaussian functionsAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusDefinition and quantum chemical applications of nested summation symbols and logical functions: Pedagogical artificial intelligence devices for formulae writing, sequential programming and automatic parallel implementation
ArticleAbstract:Palabras claves:Autores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusDefinition, mathematical examples and quantum chemical applications of nested summation symbols and logical Kronecker deltas
ArticleAbstract: Two mathematical symbols are introduced and their applications to computational chemistry and to artPalabras claves:Autores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopus