Search results for "Mathematics::Mathematical Physics"

showing 7 items of 7 documents

"Table 1" of "Measurement of the (anti-)$^{3}$He elliptic flow in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 5.02 TeV"

2020

Event-plane resolution $R_{\Psi_{2}}$ of the second harmonic as a function of the collision centrality.

5020.0PB PB --> 3HE XRESOLUTIONMathematics::Number TheoryMathematics::Classical Analysis and ODEsMathematics::Mathematical PhysicsR_Psi_2Mathematics::Spectral TheoryNuclear Experiment
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More indefinite integrals from Riccati equations

2019

ABSTRACTTwo new methods for obtaining indefinite integrals of a special function using Riccati equations are presented. One method uses quadratic fragments of the Riccati equation, the solutions of...

Applied Mathematics010102 general mathematicsMathematics::Optimization and Control010103 numerical & computational mathematicsParabolic cylinder functionFunction (mathematics)01 natural sciencesLegendre functionsymbols.namesakeNonlinear Sciences::Exactly Solvable and Integrable SystemsMathieu functionQuadratic equationComputer Science::Systems and ControlsymbolsRiccati equationMathematics::Mathematical PhysicsApplied mathematics0101 mathematicsAnalysisMathematicsIntegral Transforms and Special Functions
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Solving coupled Riccati matrix differential systems

1991

Abstract We start by noting that coupled Riccati matrix differential systems appearing in differential games may be considered as a single rectangular Riccati equation. An explicit solution of the coupled differential system in terms of a solution of the associated algebraic Riccati equation is given.

Applied MathematicsMathematical analysisMathematics::Optimization and ControlLinear-quadratic regulatorAlgebraic Riccati equationMatrix (mathematics)Nonlinear Sciences::Exactly Solvable and Integrable SystemsComputer Science::Systems and ControlOrdinary differential equationRiccati equationMathematics::Mathematical PhysicsUniversal differential equationDifferential (mathematics)MathematicsAlgebraic differential equationApplied Mathematics Letters
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Extended SUSY quantum mechanics, intertwining operators and coherent states

2009

Abstract We propose an extension of supersymmetric quantum mechanics which produces a family of isospectral Hamiltonians. Our procedure slightly extends the idea of intertwining operators. Several examples of the construction are given. Further, we show how to build up vector coherent states of the Gazeau–Klauder type associated to our Hamiltonians.

PhysicsFOS: Physical sciencesGeneral Physics and AstronomyMathematical Physics (math-ph)SupersymmetryExtension (predicate logic)coherent statesType (model theory)supersimmetric quantum mechanicTheoretical physicsIsospectralMathematics::Mathematical PhysicsCoherent statesSupersymmetric quantum mechanicsSettore MAT/07 - Fisica MatematicaMathematical PhysicsPhysics Letters A
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Vector coherent states and intertwining operators

2009

In this paper we discuss a general strategy to construct vector coherent states of the Gazeau-Klauder type and we use them to built up examples of isospectral hamiltonians. For that we use a general strategy recently proposed by the author and which extends well known facts on intertwining operators. We also discuss the possibility of constructing non-isospectral hamiltonians with related eigenstates.

Statistics and ProbabilityComputer scienceFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Construct (python library)Intertwining operatorcoherent statesType (model theory)AlgebraIsospectralOperator (computer programming)Modeling and SimulationCoherent statesMathematics::Mathematical PhysicsSettore MAT/07 - Fisica MatematicaEigenvalues and eigenvectorsMathematical Physics
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Deformation Quantization by Moyal Star-Product and Stratonovich Chaos

2012

We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.

Stratonovich chaoswhite noise analysisMoyal productQuantization (signal processing)lcsh:MathematicsDeformation (meteorology)Space (mathematics)Connes algebralcsh:QA1-939CHAOS (operating system)Mathematics::ProbabilityStar productMathematics - Quantum AlgebraMoyal productMathematics::Mathematical PhysicsGeometry and TopologyWick productMathematical PhysicsAnalysisMoyal bracketMathematics - ProbabilityMathematical physicsMathematics
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A New Family of Deformations of Darboux-Pöschl-Teller Potentials

2004

The aim of this Letter is to present a new family of integrable functional-difference deformations of the Schrodinger equation with Darboux–Poschl–Teller potentials. The related potentials are labeled by two integers m and n, and also depend on a deformation parameter h. When h→ 0 the classical Darboux–Poschl–Teller model is recovered.

symbols.namesakeIntegrable systemMathematical analysissymbolsComplex systemMathematics::Mathematical PhysicsStatistical and Nonlinear PhysicsDeformation (meteorology)Mathematical PhysicsSchrödinger equationMathematicsMathematical physicsLetters in Mathematical Physics
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