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Communications on quantum similarity (2): A geometric discussion on holographic electron density theorem and confined quantum similarity measures
ArticleAbstract: The so-called holographic electron density theorem (HEDT) is analyzed from an algebraic perspective,Palabras claves:Atomic shell approximation (ASA), Confined QSM, Electronic density functions (DF), General Taylor series expansion (TSE) of DF, Holographic electron density theorem (HEDT), Quantum similarity measures (QSM)Autores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusCommunications on quantum similarity, part 3: A geometric-quantum similarity molecular superposition algorithm
ArticleAbstract: This work describes a new procedure to obtain optimal molecular superposition based on quantum similPalabras claves:Carbó QS index, geometric QS MS algorithm, inward functions of QS matrices, Kruskal trees, molecular superposition (MS), QS Aufbau principle, QS integrals, QS matrices, quantum similarity (QS), restricted elementary Jacobi rotationsAutores:Besalu E., Mercado L., Ramón Carbö-D̈orcaFuentes:scopusA Gaussian holographic theorem and the projection of electronic density functions into the surface of a sphere
ArticleAbstract: A theorem, associated to the holographic nature of general Gaussian functions, is employed to descriPalabras claves:ASA density functions, Electronic density functions (EDF), Gaussian holographic theorem, Projection of EDF into spherical surfacesAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusA general survey of molecular quantum similarity
ArticleAbstract: A comprehensive survey of the theoretical foundations and definitions associated with quantum similaPalabras claves:Atomic shell approximation, Convex sets, Definite positive operators, Density functions, discrete molecular representation, QSAR, QSPR, Quantum objects, Quantum similarity measures and indices, Similarity matrices, Tagged sets, vector semispacesAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusA postulate involving quantum mechanical momentum in position space, density function expression of the kinetic energy and Heisenberg's uncertainty relation
ArticleAbstract: A postulate is enunciated involving the construction of the quantum mechanical linear momentum vectoPalabras claves:Atomic shell approximation density functions, Gaussian model density functions, Heisenberg's uncertainty, Kinetic energy, LCAO MO density functions, Momentum operator in position spaceAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusA procedure to obtain an accurate approximation to a full CI wavefunction
ArticleAbstract: Based on Jacobi elementary rotations, a simple, elegant procedure to obtain approximate CI wavefunctPalabras claves:Autores: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:scopusIdentification of Active Molecular Sites Using Quantum-Self-Similarity Measures
ArticleAbstract: A novel approach to construct theoretical QSAR models is proposed. This technique, based on the systPalabras claves:Autores:Amat L., Besalu E., Ponec R., Ramón Carbö-D̈orcaFuentes:scopusRayleigh-Schrödinger perturbation theory in matrix form
ArticleAbstract:Palabras claves:Autores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopus