Search results for "46"

showing 10 items of 1176 documents

Non linear pseudo-bosons versus hidden Hermiticity

2011

The increasingly popular concept of a hidden Hermiticity of operators (i.e., of their Hermiticity with respect to an {\it ad hoc} inner product in Hilbert space) is compared with the recently introduced notion of {\em non-linear pseudo-bosons}. The formal equivalence between these two notions is deduced under very general assumptions. Examples of their applicability in quantum mechanics are discussed.

Statistics and ProbabilityPhysicsQuantum PhysicsGeneral Physics and AstronomyFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Functional Analysis (math.FA)Mathematics - Functional AnalysisNonlinear systemTheoretical physicsModeling and Simulation46C15 46N50 81Q12 81Q80FOS: Mathematicspseudo-bosonsQuantum Physics (quant-ph)Settore MAT/07 - Fisica MatematicaDynamic and formal equivalenceMathematical PhysicsBoson
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Generalized Riesz systems and orthonormal sequences in Krein spaces

2018

We analyze special classes of bi-orthogonal sets of vectors in Hilbert and in Krein spaces, and their relations with generalized Riesz systems. In this way, the notion of the first/second type sequences is introduced and studied. We also discuss their relevance in some concrete quantum mechanical system driven by manifestly non self-adjoint Hamiltonians.

Statistics and ProbabilityPure mathematics46N50 81Q12FOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Mathematics::Spectral TheoryRiesz basisBiorthogonal sequenceModeling and SimulationPT -symmetric HamiltonianKrein spaceOrthonormal basisSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematicsJournal of Physics A: Mathematical and Theoretical
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Implementability of Liouville Evolution, Koopman and Banach-Lamperti Theorems in Classical and Quantum Dynamics

2002

We extend the concept of implementability of semigroups of evolution operators associated with dynamical systems to quantum case. We show that such an extension can be properly formulated in terms of Jordan morphisms and isometries on non-commutative Lp spaces. We focus our attention on a non-commutative analog of the Banach-Lamperti theorem.

Statistics and ProbabilityPure mathematics82C10; 46L55Dynamical systems theory82C1046L55Quantum dynamicsComplex systemFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Extension (predicate logic)MorphismLp spaceFocus (optics)QuantumMathematical PhysicsMathematicsOpen Systems & Information Dynamics
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On decoupling in Banach spaces

2021

AbstractWe consider decoupling inequalities for random variables taking values in a Banach space X. We restrict the class of distributions that appear as conditional distributions while decoupling and show that each adapted process can be approximated by a Haar-type expansion in which only the pre-specified conditional distributions appear. Moreover, we show that in our framework a progressive enlargement of the underlying filtration does not affect the decoupling properties (in particular, it does not affect the constants involved). As a special case, we deal with one-sided moment inequalities for decoupled dyadic (i.e., Paley–Walsh) martingales and show that Burkholder–Davis–Gundy-type in…

Statistics and ProbabilityPure mathematicsGeneral MathematicsBanach space01 natural sciences010104 statistics & probabilityFOS: MathematicsFiltration (mathematics)decoupling in Banach spaces0101 mathematicsSpecial casestokastiset prosessitMathematicsMathematics::Functional Analysisdyadic martingalesProbability (math.PR)010102 general mathematicsDecoupling (cosmology)Conditional probability distributionBanachin avaruudetAdapted processMoment (mathematics)regular conditional probabilities60E15 60H05 46B09stochastic integrationStatistics Probability and UncertaintyfunktionaalianalyysiRandom variableMathematics - Probability
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Activation of the Cyano Group at Imidazole via Copper Stimulated Alcoholysis

2019

Reactions of 4,5-dicyano-1-methylimidazole with CuX2 (X = Cl, Br) in alcohol solvents (ethanol and methanol) resulted in the formation of Cu(II) carboximidate complexes [CuCl2(5- cyano-4-C(OEt)N-1-methylimidazole)(EtOH)] (1), [Cu2(&micro

Steric effectsDenticitychemistry.chemical_elementInfrared spectroscopy010402 general chemistry01 natural sciencesMedicinal chemistryDFTimidazoleInorganic Chemistrychemistry.chemical_compoundQTAIM (Quantum Theory of Atoms in Molecules)lcsh:Inorganic chemistryImidazolecyanostructural analysiscopper complex010405 organic chemistryLigandalcoholysisepäorgaaninen kemiaCopperlcsh:QD146-1970104 chemical sciencesCarboximidatechemistryAlkoxy groupInorganics
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Sterile neutrino portal to Dark Matter II: exact dark symmetry

2017

We analyze a simple extension of the Standard Model (SM) with a dark sector composed of a scalar and a fermion, both singlets under the SM gauge group but charged under a dark sector symmetry group. Sterile neutrinos, which are singlets under both groups, mediate the interactions between the dark sector and the SM particles, and generate masses for the active neutrinos via the seesaw mechanism. We explore the parameter space region where the observed Dark Matter relic abundance is determined by the annihilation into sterile neutrinos, both for fermion and scalar Dark Matter particles. The scalar Dark Matter case provides an interesting alternative to the usual Higgs portal scenario. We also…

Sterile neutrinoParticle physicsCosmology and Nongalactic Astrophysics (astro-ph.CO)Physics and Astronomy (miscellaneous)Physics beyond the Standard ModelDark matterFOS: Physical scienceslcsh:AstrophysicsAstrophysics::Cosmology and Extragalactic Astrophysics01 natural sciencesStandard ModelHigh Energy Physics - Phenomenology (hep-ph)0103 physical scienceslcsh:QB460-466lcsh:Nuclear and particle physics. Atomic energy. Radioactivity010306 general physicsEngineering (miscellaneous)Physics010308 nuclear & particles physicsHigh Energy Physics::Phenomenology3. Good healthHigh Energy Physics - PhenomenologySeesaw mechanismHiggs bosonlcsh:QC770-798High Energy Physics::ExperimentNeutrinoLeptonAstrophysics - Cosmology and Nongalactic AstrophysicsEuropean Physical Journal C
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"Table 3" of "The e+ e- ---> pi+ pi- pi+ pi-, K+ K- pi+ pi-, and K+ K- K+ K- cross sections at center-of-mass energies 0.5-GeV to 4.5-GeV measured…

2006

Measured K+ K- K+ K- cross sections. The errors are statistical only.

Strange productionE+ E- ScatteringIntegrated Cross SectionExclusiveCross Section2.031-4.469E+ E- --> K+ K- K+ K-SIG
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Cognitive Deficits in Chronic Stroke Patients: Neuropsychological Assessment, Depression, and Self-Reports

2017

<b><i>Background:</i></b> Following stroke, clinicians are challenged to detect and untangle symptoms of cognitive dysfunction and mood disorders. Additionally, they need to evaluate the informative value of self-reports to identify patients in need of further attendance. <b><i>Aims:</i></b> To examine the association between neuropsychological measures, symptoms of depression, and self-reported cognitive function. <b><i>Methods:</i></b> One-hundred and five chronic stroke patients underwent assessment covering 6 cognitive domains and answered the Hospital Anxiety and Depression Scale and the Memory and Thinking Scale f…

Stroke Impact ScaleCognitive Neurosciencelcsh:GeriatricsHospital Anxiety and Depression Scalelcsh:RC346-42903 medical and health sciences0302 clinical medicine:Medisinske Fag: 700 [VDP]medicineVDP::Medisinske Fag: 700Artikkel030212 general & internal medicineNeuropsychological assessmentEffects of sleep deprivation on cognitive performanceOriginal Research ArticleStrokelcsh:Neurology. Diseases of the nervous systemmedicine.diagnostic_testbusiness.industryDepressionNeuropsychologyCognitionmedicine.diseaseCognitive testStrokelcsh:RC952-954.6Psychiatry and Mental healthCognitive impairmentMood disordersbusinessSelf-report030217 neurology & neurosurgeryClinical psychologyDementia and Geriatric Cognitive Disorders EXTRA
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Quasiadditivity of Variational Capacity

2013

We study the quasiadditivity property (a version of superadditivity with a multiplicative constant) of variational capacity in metric spaces with respect to Whitney type covers. We characterize this property in terms of a Mazya type capacity condition, and also explore the close relation between quasiadditivity and Hardy's inequality.

SuperadditivityPure mathematicsProperty (philosophy)Relation (database)Inequalitymetrijärjestelmämedia_common.quotation_subjectmetric spaceHardy's inequalitykapasiteettiType (model theory)Whitney coverFunctional Analysis (math.FA)Mathematics - Functional AnalysisMetric spacePrimary 31E05 31C45 Secondary 46E35 26D15FOS: MathematicsMultiplicative constantAnalysisvariational capacityMathematicsmedia_commonPotential Analysis
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New insights into the surface functionalities and adsorption evolution of water molecules on silica gel surface: A study by second derivative near in…

2010

Accepted version of an article in the journal: Vibrational Spectroscopy. Published version available on Science Direct: http://dx.doi.org/10.1016/j.vibspec.2010.06.003 Surface functionalities and adsorption evolution of water molecules on silica gel samples were studied by second derivative near infrared spectroscopy. Four different silica gel samples with varying surface area were used in this experiment. Each of the dry samples was allowed to equilibrate with surrounding air and the near infrared spectra were accumulated at different time intervals using reflectance technique. The evolved spectra were analysed using second derivative technique to study the adsorption evolution of water mo…

Surface (mathematics)chemistry.chemical_compoundAdsorptionchemistrySilica gelInorganic chemistryNear-infrared spectroscopyInfrared spectroscopyMoleculePhysical chemistryVDP::Mathematics and natural science: 400::Chemistry: 440::Environmental chemistry natural environmental chemistry: 446SpectroscopySecond derivative
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