Search results for " Classical"

showing 10 items of 301 documents

Saturated absorption spectroscopy: elimination of crossover resonances by use of a nanocell

2007

It is demonstrated that velocity selective optical pumping/saturation resonances of reduced absorption in a Rb vapor nanocell with thickness \textit{L=} $\lambda $, 2$\lambda $, and 3$\lambda $ (resonant wavelength $\lambda $ = 780 nm) allow the complete elimination of crossover (CO) resonances. We observe well pronounced resonances corresponding to the F$_{g}=3$ $\to $ F$_{e}=2,3,4$ hyperfine transitions of the $^{85}$Rb D$_{2}$ line with linewidths close to the natural width. A small CO resonance located midway between F$_{g}=3$ $\to $ F$_{e}=3$ and F$_{g}=3$ $\to$ F$_{e}=4$ transitions appears only for \textit{L} = 4$\lambda $. The D$_{2}$ line ($\lambda $ = 852 nm) in a Cs nanocell exhi…

StandardsOptical pumping[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]Saturated absorption spectroscopyFOS: Physical sciencesPhysics - Classical PhysicsLambda01 natural sciencesIndustrial and Manufacturing Engineering010309 opticssymbols.namesakeAbsorption spectroscopy[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]0103 physical sciencesFrequency measurementLine widthsRubidium 85Physics::Atomic Physics010306 general physicsInstrumentationHyperfine structure[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]PhysicsZeeman effectResonanceClassical Physics (physics.class-ph)Zeeman effectNanocellCondensed Matter PhysicsAtomic and Molecular Physics and Optics3. Good healthMagnetic fieldWavelengthHyperfine transitionsymbolsRubidium AtomsMagnetic field effectsAtomic physicsOptical saturation
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Damping in quantum love affairs

2011

In a series of recent papers we have used an operatorial technique to describe stock markets and, in a different context, {\em love affairs} and their time evolutions. The strategy proposed so far does not allow any dumping effect. In this short note we show how, within the same framework, a strictly non periodic or quasi-periodic effect can be introduced in the model by describing in some details a linear Alice-Bob love relation with damping.

Statistics and ProbabilityPhysics - Physics and SocietyQuantum PhysicsQuantum tools for classical systemsFOS: Physical sciencesPhysics and Society (physics.soc-ph)Nonlinear Sciences - Chaotic DynamicsCondensed Matter PhysicsSocial systemDumpingEconomicsChaotic Dynamics (nlin.CD)Quantum Physics (quant-ph)Settore MAT/07 - Fisica MatematicaMathematical economicsQuantumStock (geology)Physica A: Statistical Mechanics and its Applications
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Genericity of dimension drop on self-affine sets

2017

We prove that generically, for a self-affine set in $\mathbb{R}^d$, removing one of the affine maps which defines the set results in a strict reduction of the Hausdorff dimension. This gives a partial positive answer to a folklore open question.

Statistics and ProbabilityPure mathematicsthermodynamic formalismDynamical Systems (math.DS)01 natural sciencesself-affine setsingular value functionAffine combinationAffine hullClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematics - Dynamical Systems0101 mathematicsMathematicsDiscrete mathematicsta111010102 general mathematicsMinkowski–Bouligand dimensionproducts of matricesEffective dimension010101 applied mathematicsAffine coordinate systemMathematics - Classical Analysis and ODEsHausdorff dimensionAffine transformationStatistics Probability and UncertaintyStatistics & Probability Letters
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Trace and density results on regular trees

2019

We give characterizations for the existence of traces for first order Sobolev spaces defined on regular trees.

Trace (linear algebra)Mathematics::Analysis of PDEsBoundary (topology)01 natural sciencesMeasure (mathematics)Potential theorySet (abstract data type)Combinatoricsregular treeMathematics - Metric Geometry0103 physical sciencesEuclidean geometryClassical Analysis and ODEs (math.CA)FOS: Mathematics0101 mathematicsMathematicsdensityMathematics::Functional Analysis010102 general mathematicsMetric Geometry (math.MG)Functional Analysis (math.FA)Sobolev spaceMathematics - Functional AnalysisMathematics - Classical Analysis and ODEs010307 mathematical physicsTree (set theory)46E35 30L99funktionaalianalyysiAnalysisboundary traceNewtonian space
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Local maximal operators on fractional Sobolev spaces

2016

In this note we establish the boundedness properties of local maximal operators MG on the fractional Sobolev spaces Ws;p(G) whenever G is an open set in Rn, 0 < s < 1 and 1 < p < 1. As an application, we characterize the fractional (s;p)-Hardy inequality on a bounded open set by a Maz'ya-type testing condition localized to Whitney cubes. pq(G) whenever G is an open set in R n , 0 < s < 1 and 1 < p;q <1. Our main focus lies in the mapping properties of MG on a fractional Sobolev space W s;p (G) with 0 < s < 1 and 1 < p < 1, see Section 2 for the denition or (3) for a survey of this space. The intrinsically dened function space W s;p (G) on a given domain G coincides with the trace space F s …

Trace spaceFunction spaceGeneral MathematicsOpen setSpace (mathematics)01 natural sciencesDomain (mathematical analysis)CombinatoricsHardy inequality0103 physical sciencesClassical Analysis and ODEs (math.CA)FOS: Mathematics46E350101 mathematicsfractional Sobolev spaceMathematicsMathematics::Functional Analysista111010102 general mathematicsMathematical analysis42B25 46E35 47H99Functional Analysis (math.FA)Mathematics - Functional AnalysisSobolev spaceSection (category theory)Mathematics - Classical Analysis and ODEsBounded function47H99010307 mathematical physics42B25local maximal operator
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OVERTURE Love Love is a Pink Cake or Queering Chopin in Times of Homophobia

2021

An introduction to the three essays included in this section. The article highlights the right to know whether Chopin was gay and contextualizes this inquiry in a very long and pervasive historiographical tradition, essentially twohundred years long, dedicated to examine Chopin sexual orientation, on the one hand, and on the other the more recent tradition of queering western classical music composers. The main point is not to demonstrate categorically that Chopin was ?gay? (a relative, modern identity marker in any case) but rather to highlight the discourses that have presented him as unequivocally heterosexual.

UNESCO::CIENCIAS DE LAS ARTES Y LAS LETRASessentially twohundred years longAntoni An introduction to the three essays included in this section. The article highlights the right to know whether Chopin was gay and contextualizes this inquiry in a very long and pervasive historiographical tradition:CIENCIAS DE LAS ARTES Y LAS LETRAS [UNESCO]revista de investigación musical: territorios para el arte 590908 2021 7 8182075 OVERTURE Love Love is a Pink Cake or Queering Chopin in Times of Homophobia Pizàand on the other the more recent tradition of queering western classical music composers. The main point is not to demonstrate categorically that Chopin was ?gay? (a relativeterritorios para el arte 590908 2021 7 8182075 OVERTURE Love Love is a Pink Cake or Queering Chopin in Times of Homophobia Pizà [revista de investigación musical]dedicated to examine Chopin sexual orientation2386-8260 13268 Itamaron the one handmodern identity marker in any case) but rather to highlight the discourses that have presented him as unequivocally heterosexual. 421 427
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La tradición clásica como referencia de vanguardia: la Antigüedad griega y romana en la obra del pintor Gregorio Prieto (1897-1992)

2019

This article analyses the impact of classical tradition on the artistic production of Gregorio Prieto (1897-1992), painter par excellence of the Generation of 1927. It will be discovered how this influence, far from becoming a conservative reference, would constitute an incentive for his entailment with the avant-garde, especially with surrealism. Although the classic trace is found with more intensity in the creations produced during his Roman years, between 1928 and 1929, when he also made important trips to Sicily and Greece, Greece and Rome would nevertheless continue to be constitutive of his aesthetic experience throughout his later and extensive career.

UNESCO::CIENCIAS DE LAS ARTES Y LAS LETRASpainter par excellence of the Generation of 1927. It will be discovered how this influencewould constitute an incentive for his entailment with the avant-gardela Antigüedad griega y romana en la obra del pintor Gregorio Prieto (1897-1992) García-Luengo Manchado [1135-9560 8276 Studia philologica valentina 536436 2019 21 7225816 La tradición clásica como referencia de vanguardia]between 1928 and 1929when he also made important trips to Sicily and Greecefar from becoming a conservative referenceGreece and Rome would nevertheless continue to be constitutive of his aesthetic experience throughout his later and extensive career. Gregorio Prieto ? Clásico ? Surrealismo ? Roma ? Greciaespecially with surrealism. Although the classic trace is found with more intensity in the creations produced during his Roman yearsGregorio Prieto ? Classicism ? Surrealism ? Rome ? Greece 117 132 https://pages.uv.es/SPhV/cas/numero21.wiki//pages.uv.es/SPhV/cas/numero21.wiki [Gregorio Prieto ? Classicism ? Surrealism ? Rome ? Greece 117 132 https]1135-9560 8276 Studia philologica valentina 536436 2019 21 7225816 La tradición clásica como referencia de vanguardia: la Antigüedad griega y romana en la obra del pintor Gregorio Prieto (1897-1992) García-Luengo Manchado:CIENCIAS DE LAS ARTES Y LAS LETRAS [UNESCO]Javier This article analyses the impact of classical tradition on the artistic production of Gregorio Prieto (1897-1992)
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Boundary blow-up under Sobolev mappings

2014

We prove that for mappings $W^{1,n}(B^n, \R^n),$ continuous up to the boundary, with modulus of continuity satisfying certain divergence condition, the image of the boundary of the unit ball has zero $n$-Hausdorff measure. For H\"older continuous mappings we also prove an essentially sharp generalized Hausdorff dimension estimate.

Unit spherePure mathematicsSobolev mappingBoundary (topology)01 natural sciencesMeasure (mathematics)Hausdorff measureModulus of continuitymodulus of continuity0103 physical sciencesClassical Analysis and ODEs (math.CA)FOS: Mathematics46E35Hausdorff measure0101 mathematicsMathematicsNumerical AnalysisApplied Mathematicsta111010102 general mathematicsZero (complex analysis)Sobolev spaceMathematics - Classical Analysis and ODEsHausdorff dimension010307 mathematical physics26B10Analysis26B35Analysis &amp; PDE
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Spunti di classicismo nei monumenti siciliani ai caduti della Prima Guerra Mondiale

2021

Dopo la conclusione della Prima Guerra Mondiale, tutti i comuni italiani cominciarono a erigere monumenti celebrativi in onore dei soldati morti nell’immane conflitto. Un aspetto meritevole di speciale attenzione, in queste opere commemorative, è l’utilizzo molto rilevante di forme ed elementi derivati dall’antichità greca e romana. Singole iconografie e singoli schemi tipologici, opportunamente rielaborati, potevano infatti adattarsi anche ai nuovi contesti celebrativi e ne rafforzavano il significato. La Sicilia sembra essere un buon case study per mostrare le potenzialità di un’analisi di questo genere: nei centri abitati di questa regione, come in tutto il territorio nazionale, sono pre…

War memorials First World War classicism classical tradition SicilyMonumenti ai caduti Prima Guerra Mondiale classicismo tradizione classica SiciliaSettore L-ANT/07 - Archeologia Classica
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Structure of longitudinal chromomagnetic fields in high energy collisions

2014

We compute expectation values of spatial Wilson loops in the forward light cone of high-energy collisions. We consider ensembles of gauge field configurations generated from a classical Gaussian effective action as well as solutions of high-energy renormalization group evolution with fixed and running coupling. The initial fields correspond to a color field condensate exhibiting domain-like structure over distance scales of order the saturation scale. At later times universal scaling emerges at large distances for all ensembles, with a nontrivial critical exponent. Finally, we compare the results for the Wilson loop to the two-point correlator of magnetic fields.

We compute expectation values of spatial Wilson loops in the forward light cone of high-energy collisions. We consider ensembles of gauge field configurations generated from a classical Gaussian effective action as well as solutions of high-energy renormalization group evolution with fixed and running coupling. The initial like structure over distance scales of oder the saturation scale. At later times universal scaling emerges at large distances for all ensembles with a nontrivial critical exponent. Finally we compare the resulats for the Wilson loop to the two-point correlator of magnetic fields. (C) 2014 The Authors. Published by Elsevier BV This is an open access article under the CC BY licenseNuclear and High Energy PhysicsWilson loopLARGE NUCLEINuclear TheoryField (physics)FOS: Physical sciences114 Physical sciences01 natural sciencesColor-glass condensateRENORMALIZATION-GROUPNuclear Theory (nucl-th)GLUON DISTRIBUTION-FUNCTIONSHigh Energy Physics - Phenomenology (hep-ph)Light cone0103 physical sciencesSCATTERINGGauge theory010306 general physicsSMALL-XEffective actionPhysicsCORRELATORSta114010308 nuclear & particles physicsCOLOR GLASS CONDENSATERenormalization groupEVOLUTIONJIMWLK EQUATIONHigh Energy Physics - PhenomenologySATURATIONQuantum electrodynamicsCritical exponentPhysics Letters B
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