Search results for "Quantum"

showing 10 items of 9714 documents

Synthesis, reactivity, and computational analysis of halophosphines supported by dianionic guanidinate ligands.

2012

The reported chemistry and reactivity of guanidinate supported group 15 elements in the +3 oxidation state, particularly phosphorus, is limited when compared to their ubiquity in supporting metallic elements across the periodic table. We have synthesized a series of chlorophosphines utilizing homo- and heteroleptic (dianionic)guanidinates and have completed a comprehensive study of their reactivity. Most notable is the reluctancy of these four-membered rings to form the corresponding N-heterocyclic phosphenium cations, the tendency to chemically and thermally eliminate carbodiimide, and the scarcely observed ring expansion by insertion of a chloro(imino)phosphine into a P-N bond of the P-N-…

AnionsModels MolecularPhosphinesRing (chemistry)Crystallography X-RayLigandsBiochemistryGuanidinesCatalysisMetalchemistry.chemical_compoundColloid and Surface ChemistryGroup (periodic table)Oxidation statePolymer chemistryOrganic chemistryMoleculeReactivity (chemistry)ta116chemistry.chemical_classificationMolecular StructureChemistryGeneral ChemistryElectron acceptorvisual_artvisual_art.visual_art_mediumQuantum TheoryPhosphineJournal of the American Chemical Society
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Exact non-Markovian dynamics of Gaussian quantum channels: Finite-time and asymptotic regimes

2018

We investigate the Markovian and non-Markovian dynamics of Gaussian quantum channels, exploiting a recently introduced necessary and sufficient criterion and the ensuing measure of non-Markovianity based on the violation of the divisibility property of the dynamical map. We compare the paradigmatic instances of Quantum Brownian motion (QBM) and Pure Damping (PD) channels, and for the former we find that the exact dynamical evolution is always non-Markovian in the finite-time as well as in the asymptotic regimes, for any nonvanishing value of the non-Markovianity parameter. If one resorts to the rotating wave approximated (RWA) form of the QBM, that neglects the anomalous diffusion contribut…

Anomalous diffusionGaussianFOS: Physical sciencesMarkov process01 natural sciencesMeasure (mathematics)010305 fluids & plasmassymbols.namesakeQuantum stateAtomic and Molecular Physics0103 physical sciencesStatistical physics010306 general physicsQuantumMathematical PhysicsBrownian motionPhysicsQuantum PhysicsMathematical Physics (math-ph)Atomic and Molecular Physics and OpticsSystem dynamicsCondensed Matter - Other Condensed Mattersymbolsand OpticsQuantum Physics (quant-ph)Physics - OpticsOther Condensed Matter (cond-mat.other)Optics (physics.optics)Physical Review A
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Diffusion Acceleration in Randomly Switching Sawtooth Potential

2005

We investigate an overdamped Brownian motion in symmetric sawtooth periodic potential switched by Markovian dichotomous noise between two configurations. The two configurations differ each other by a translation of half of period. The calculation of the effective diffusion coefficient is reduced to the mean first‐passage time problem, and we obtain the exact expression valid for arbitrary mean rate of switchings and arbitrary intensity of white Gaussian noise. We find the area at parameters plane where acceleration of diffusion in comparison with the free diffusion case takes place.

Anomalous diffusionMathematical analysisSawtooth waveWhite noiseRATCHETSNoise (electronics)TIMESsymbols.namesakeAccelerationGaussian noiseQuantum mechanicssymbolsMOTORSDiffusion (business)Brownian motionMathematics
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Extraordinary tuning of a nanocavity by a near-field probe

2011

Abstract We report here an experimental observation of an extraordinary near-field interaction between a local probe and a small-volume solid-state nanocavity. We directly compare the normally observed near-field interaction regime driven by the perturbation theory and then report the extraordinary interaction regime. Subsequently, we show that the cavity can take up to 2 min to recover from this interaction after removing the probe and that leads to an extraordinary blue-shift of the cavity resonance wavelength (∼15 nm) which depends on the probe motion above the cavity and not the position. The reasons for this effect are not fully understood yet but we try to give some explanations.

Anomalous regimeSilicon photonicsPhysics::OpticsNear and far fieldNear-field opticsTuningPhotonic crystalsOpticsPosition (vector)Atomic and Molecular PhysicsElectronicNanotechnologyOptical and Magnetic MaterialsPerturbation theoryExtraordinary regimeElectrical and Electronic EngineeringOptomechanicsComputingMilieux_MISCELLANEOUSPhotonic crystalPhysicsSilicon photonicsbusiness.industryNear-field opticsCondensed Matter PhysicsAtomic and Molecular Physics and OpticsOptomechanicsElectronic Optical and Magnetic MaterialsWavelengthHardware and ArchitectureQuantum electrodynamicsAnomalous regime; Extraordinary regime; Microcavity; Nanotechnology; Near-field optics; Optomechanics; Photonic crystals; Silicon photonics; Tuning; Electronic Optical and Magnetic Materials; Atomic and Molecular Physics and Optics; Condensed Matter Physics; Hardware and Architecture; Electrical and Electronic Engineeringand OpticsbusinessMicrocavity
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Toward a Rational Design of Polyamine-Based Zinc-Chelating Agents for Cancer Therapies.

2020

In vitro viability assays against a representative panel of human cancer cell lines revealed that polyamines L1a and L5a displayed remarkable activity with IC50 values in the micromolar range. Preliminary research indicated that both compounds promoted G1 cell cycle arrest followed by cellular senescence and apoptosis. The induction of apoptotic cell death involved loss of mitochondrial outer membrane permeability and activation of caspases 3/7. Interestingly, L1a and L5a failed to activate cellular DNA damage response. The high intracellular zinc-chelating capacity of both compounds, deduced from the metal-specific Zinquin assay and ZnL2+ stability constant values in solution, strongly sup…

Antineoplastic AgentsApoptosis01 natural sciences03 medical and health scienceschemistry.chemical_compoundStructure-Activity RelationshipCell Line TumorDrug DiscoveryPolyaminesHumansCytotoxicityCaspase030304 developmental biologyChelating Agents0303 health sciencesbiologyMolecular StructureChemistryRational designG1 Phase Cell Cycle Checkpoints0104 chemical sciencesCell biology010404 medicinal & biomolecular chemistryZincModels ChemicalApoptosisCell cultureDrug Designbiology.proteinMolecular MedicineQuantum TheoryDrug Screening Assays AntitumorPolyamineG1 phaseIntracellularJournal of medicinal chemistry
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Theoretical Determination of the pK a Values of Betalamic Acid Related to the Free Radical Scavenger Capacity: Comparison Between Empirical and Quant…

2015

Health benefits of dietary phytochemicals have been suggested in recent years. Among 1000s of different compounds, Betalains, which occur in vegetables of the Cariophyllalae order (cactus pear fruits and red beet), have been considered because of reducing power and potential to affect redox-modulated cellular processes. The antioxidant power of Betalains is strictly due to the dissociation rate of the acid moieties present in all the molecules of this family of phytochemicals. Experimentally, only the pK a values of betanin were determined. Recently, it was evidenced it was evidenced as the acid dissociation, at different environmental pHs, affects on its electron-donating capacity, and fur…

AntioxidantPyridinesmedicine.medical_treatmentBetalainsHealth Informatics010402 general chemistry01 natural sciencesGeneral Biochemistry Genetics and Molecular BiologyAcid dissociation constantAntioxidantschemistry.chemical_compoundComputational chemistryBetalamic Acid antioxidants pKa predictions empirical methods DFTmedicineOrganic chemistryA valueMoleculeBetaninQuantum chemical010405 organic chemistryFree Radical ScavengersFree radical scavengerSettore CHIM/08 - Chimica Farmaceutica0104 chemical sciencesComputer Science ApplicationschemistryModels ChemicalBetalamic acid
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Simple connections between generalized hypergeometric series and dilogarithms

1997

AbstractConnections between generalized hypergeometric series and dilogarithms are investigated. Some simple relations of an Appell's function and dilogarithms are found.

Appell functionDilogarithmBasic hypergeometric seriesConfluent hypergeometric functionAppell seriesBilateral hypergeometric seriesApplied MathematicsMathematics::Classical Analysis and ODEsGeneralized hypergeometric functionMathematics::Geometric TopologyHypergeometric seriesAlgebraHigh Energy Physics::TheoryComputational MathematicsHypergeometric identityMathematics::K-Theory and HomologyMathematics::Quantum AlgebraLauricella hypergeometric seriesHypergeometric functionMathematicsJournal of Computational and Applied Mathematics
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Melnikov functions and Bautin ideal

2001

The computation of the number of limit cycles which appear in an analytic unfolding of planar vector fields is related to the decomposition of the displacement function of this unfolding in an ideal of functions in the parameter space, called the Ideal of Bautin. On the other hand, the asymptotic of the displacement function, for 1-parameter unfoldings of hamiltonian vector fields is given by Melnikov functions which are defined as the coefficients of Taylor expansion in the parameter. It is interesting to compare these two notions and to study if the general estimations of the number of limit cycles in terms of the Bautin ideal could be reduced to the computations of Melnikov functions for…

Applied MathematicsComputationMathematical analysisPlanar vector fieldsParameter spacesymbols.namesakeDisplacement functionTaylor seriessymbolsDiscrete Mathematics and CombinatoricsVector fieldHamiltonian (quantum mechanics)Melnikov methodMathematicsQualitative Theory of Dynamical Systems
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Normalized solutions to the mixed dispersion nonlinear Schr��dinger equation in the mass critical and supercritical regime

2019

In this paper, we study the existence of solutions to the mixed dispersion nonlinear Schrödinger equation γΔ2u − Δu + αu =

Applied MathematicsGeneral Mathematics010102 general mathematics01 natural sciencesSupercritical fluid010101 applied mathematicssymbols.namesakeMathématiquesMathematics - Analysis of PDEsEquations différentielles et aux dérivées partiellesQuantum electrodynamicsDispersion (optics)symbolsFOS: Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]0101 mathematicsAnalyse mathématiqueNonlinear Schrödinger equationComputingMilieux_MISCELLANEOUSMathematicsAnalysis of PDEs (math.AP)
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TANGENTIAL DEFORMATIONS ON FIBRED POISSON MANIFOLDS

2005

In a recent article, Cattaneo, Felder and Tomassini explained how the notion of formality can be used to construct flat Fedosov connections on formal vector bundles on a Poisson manifold $M$ and thus a star product on $M$ through the original Fedosov method for symplectic manifolds. In this paper, we suppose that $M$ is a fibre bundle manifold equipped with a Poisson tensor tangential to the fibers. We show that in this case the construction of Cattaneo-Felder- Tomassini gives tangential (to the fibers) star products.

Applied MathematicsGeneral Mathematics010102 general mathematicsMathematical analysis[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Vector bundle01 natural sciences53D15Volume formPoisson bracket53D17[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Mathematics::Quantum Algebra0103 physical sciencesHermitian manifold010307 mathematical physics[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]0101 mathematicsMathematics::Symplectic GeometryFirst class constraintMathematicsSymplectic manifoldSymplectic geometryPoisson algebra
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