Search results for "Fixed time"

showing 4 items of 4 documents

Newton algorithm for Hamiltonian characterization in quantum control

2014

We propose a Newton algorithm to characterize the Hamiltonian of a quantum system interacting with a given laser field. The algorithm is based on the assumption that the evolution operator of the system is perfectly known at a fixed time. The computational scheme uses the Crank-Nicholson approximation to explicitly determine the derivatives of the propagator with respect to the Hamiltonians of the system. In order to globalize this algorithm, we use a continuation method that improves its convergence properties. This technique is applied to a two-level quantum system and to a molecular one with a double-well potential. The numerical tests show that accurate estimates of the unknown paramete…

Statistics and Probability[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC][ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]Non uniquenessFOS: Physical sciencesGeneral Physics and AstronomyQuantum controlsymbols.namesake[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]Fixed time[ CHIM.OTHE ] Chemical Sciences/OtherQuantum systemNumerical testsMathematical PhysicsMathematicsQuantum PhysicsPropagatorStatistical and Nonlinear PhysicsNMRContinuation methodModeling and Simulationsymbolsinverse problemidentification02.30.Yy Control theory02.30.Tb Operator theory42.50.Ct Quantum description of interaction of light and matter; related experiments02.60.Cb Numerical simulation; solution of equations03.65.Ge Solutions of wave equations: bound states02.30.Mv Approximations and expansions[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Quantum Physics (quant-ph)Hamiltonian (quantum mechanics)[CHIM.OTHE]Chemical Sciences/OtherAlgorithmcontrol
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Über die Autoxydation ungesättigter Verbindungen VIII. Mitteilung. Eine Methode zur erfassung des anfangsverlaufs der Autoxydation

1959

Es wird eine Methods beschrieben, die den Anfangsverlauf der Autoxydation von substanzen mit niedrigem Dampfdruck (Linolsauremethylester) manometrisch zu verfolgen gestattet. Die Reaktionsgefase sind mit einer Ampullenzertrummerungsvorrichtung ausgestattet, so das die Substanz erst zu einem genau festgelegten Zeitpunkt mit Sauerstoff in Beruhrung gebracht werden kann. Es ist so moglich, die Lolichkeit des Sauerstoffs in der Substanz zu bestimmen. A method is described which measures manometrically the beginning of the autoxidation of substances of low vapour pressure (methyllinoleate). The reaction vessela are fitted out with an equipment to break the ampoules, so that the substance can be …

AutoxidationFixed timeChemistryPolymer chemistrySolubilityDie Makromolekulare Chemie
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Inhibition of molybdenum blue formation by ATP.

1981

Molybdenum blue formation was not affected by the presence of ATP up to a concentration of 1.2 muM/l. At higher concentrations the color development was inhibited relative to ATP concentration, finally reaching complete inhibition. Auto-hydrolysis of ATP was found at a rate of 1.4%/h. An exact determination of inorganic phosphate in the presence of easily hydrolyzed phosphate esters requires the measurement of extinction at fixed time intervals and extrapolation back to time zero.

PharmacologyMolybdenumTime zeroChemistryInorganic chemistryCell BiologyPhosphatePhosphatesCellular and Molecular NeuroscienceHydrolysischemistry.chemical_compoundKineticsInorganic phosphateAdenosine TriphosphateMolybdenum blueFixed timeMolecular MedicineIndicators and ReagentsMolecular BiologyExperientia
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Analysis of the Past Lifetime in a Replacement Model through Stochastic Comparisons and Differential Entropy

2020

A suitable replacement model for random lifetimes is extended to the context of past lifetimes. At a fixed time u an item is planned to be replaced by another one having the same age but a different lifetime distribution. We investigate the past lifetime of this system, given that at a larger time t the system is found to be failed. Subsequently, we perform some stochastic comparisons between the random lifetimes of the single items and the doubly truncated random variable that describes the system lifetime. Moreover, we consider the relative ratio of improvement evaluated at x &isin

General MathematicsReliability (computer networking)Context (language use)02 engineering and technologystochastic ordersLifetime distribution01 natural sciencesMeasure (mathematics)differential entropyDifferential entropy010104 statistics & probabilitystochastic neuronal modelFixed time0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)Applied mathematicsreliability; replacement model; stochastic orders; differential entropy; stochastic neuronal modelreplacement model0101 mathematicsEngineering (miscellaneous)Mathematicsreliabilitylcsh:Mathematicslcsh:QA1-939020201 artificial intelligence & image processingReplacement procedureRandom variableMathematics
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