Search results for " Algebra"

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On the convergence of zero-point vibrational corrections to nuclear shieldings and shielding anisotropies towards the complete basis set limit in wat…

2016

The method and basis set dependence of zero-point vibrational corrections (ZPVCs) to nuclear magnetic resonance shielding constants and anisotropies has been investigated using water as a test system. A systematic comparison has been made using the Hartree–Fock, second-order Møller–Plesset perturbation theory (MP2), coupled cluster singles and doubles (CCSD), coupled cluster singles and doubles with perturbative triples corrections (CCSD(T)) and Kohn–Sham density functional theory with the B3LYP exchange-correlation functional methods in combination with the second-order vibrational perturbation theory (VPT2) approach for the vibrational corrections. As basis sets, the correlation consisten…

waterBiophysicsZero-point energyzero-point vibrational correctionMonotonic function010402 general chemistry01 natural sciencesQuantum mechanics0103 physical sciencesPhysics::Atomic and Molecular ClustersCCSD(T)Limit (mathematics)complete basis set limitPhysics::Chemical PhysicsPhysical and Theoretical ChemistryMolecular BiologyBasis setPhysics010304 chemical physicsBasis (linear algebra)Condensed Matter PhysicsNMR shielding constant0104 chemical sciencesCoupled clusterDensity functional theoryPerturbation theory (quantum mechanics)Molecular Physics
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Deformation Quantization in White Noise Analysis

2007

We define and present an example of a deformation quantization product on a Hida space of test functions endowed with a Wick product.

white noise analysisMoyal productQuantization (signal processing)lcsh:MathematicsMathematics::Number TheoryMathematical analysisFOS: Physical sciencesWhite noiseMathematical Physics (math-ph)lcsh:QA1-939Mathematics - Quantum AlgebraFOS: MathematicsMoyal productQuantum Algebra (math.QA)Geometry and TopologyWick productAnalysisMathematical PhysicsMathematicsMathematical physics
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