Enfolded conformational spaces: definition of the chemical quantum mechanical multiverse under Born-Oppenheimer approximation

DOI10.1007/S10910-012-0136-1zbMath1447.81213OpenAlexW2055500671WikidataQ62511117 ScholiaQ62511117MaRDI QIDQ1945545

Ramon Carbó-Dorca

Publication date: 8 April 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0136-1

zbMATH Keywords

Born-Oppenheimer approximationdensity functionschemical enfoldment multiverseconformational space enfoldmentconformational spacesmolecular quantum mechanical enfoldment universesvector space enfoldments

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Molecular physics (81V55) Conformal structures on manifolds (53C18)

Related Items (5)

Particle coordinates and discrete molecular description: a geometric point of view on a twofold dimensionality environment ⋮ Time vectors and particle swarms defined as polyhedra in spherically enfolded spaces ⋮ A study of fermionic Cooper pairs ⋮ A quantum similarity discussion about Einstein-Podolsky-Rosen (EPR) paradox in Gaussian enfolded spaces ⋮ Coulomb repulsion, point-like nuclear charges, Dirac paradox, soft nuclear charge density and hypermultiplet nuclear repulsion

Cites Work

• On density function coordinate matrix
• Mathematical aspects of the LCAO MO first order density function. IV: A discussion on the connection of Taylor series expansion of electronic density (TSED) function with the holographic electron density theorem (HEDT) and the Hohenberg-Kohn theorem (HKT)
• A Gaussian holographic theorem and the projection of electronic density functions into the surface of a sphere
• Quantum similarity and discrete representation of molecular sets
• Geometry of \(n\)-dimensional Euclidean space Gaussian enfoldments
• Descriptors and probability distributions in MO theory: weighted Mulliken matrices and molecular quantum similarity measures

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