Search results for " Time evolution"

showing 4 items of 4 documents

Generation of Frames

2004

It is well known that, given a generic frame, there exists a unique frame operator which satisfies, together with its adjoint, a double operator inequality. In this paper we start considering the inverse problem, that is how to associate a frame to certain operators satisfying the same kind of inequality. The main motivation of our analysis is the possibility of using frame theory in the discussion of some aspects of the quantum time evolution, both for open and for closed physical systems.

Physics and Astronomy (miscellaneous)General MathematicsFrame (networking)Compact operatorTopologySIC-POVMAlgebraVon Neumann's theoremOperator (computer programming)Multiplication operatorHermitian adjointHilbert spaces quantum time evolutionFrameUnitary operatorSettore MAT/07 - Fisica MatematicaMathematicsInternational Journal of Theoretical Physics
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Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians

2015

We discuss systematically several possible inequivalent ways to describe the dynamics and the transition probabilities of a quantum system when its hamiltonian is not self-adjoint. In order to simplify the treatment, we mainly restrict our analysis to finite dimensional Hilbert spaces. In particular, we propose some experiments which could discriminate between the various possibilities considered in the paper. An example taken from the literature is discussed in detail.

PhysicsQuantum time evolutionHilbert spaceFOS: Physical sciencesGeneral Physics and AstronomyMathematical Physics (math-ph)Physics and Astronomy (all)symbols.namesakeTransition probabilitiesymbolsQuantum systemStatistical physicsHamiltonian (quantum mechanics)Settore MAT/07 - Fisica MatematicaMathematical PhysicsSelf-adjoint operatorAnnals of Physics
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Electron heating, time evolution of bremsstrahlung and ion beam current in electron cyclotron resonance ion sources

2010

This thesis is a study of Electron Cyclotron Resonance Ion Source (ECRIS) plasmas and their properties. The focus has been on time evolution studies of bremsstrahlung emission, ion beam current production and numerical studies of electron heating in ECRIS plasmas. The time scales for reaching steady state bremsstrahlung production at electron energies greater than 30 keV is shown to be on the order of several hundreds of milliseconds. The ion beam currents of different elements are shown to reach steady state before the bremsstrahlung production. It is also demonstrated that by tuning the RF pulse patterns, the so-called preglow transient ion beam currents can be utilized while the amount o…

Physics::Plasma Physicsbremsstrahlung time evolutionmicrowave power absorptionECRIS
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A mesh less approch based upon Radial basis function Hermite collocation method for predicting the cooling and the freezing times of foods

2005

This work presents a meshless numerical scheme for the solution of time dependent non linear heat transfer problems in terms of a radial basis function Hermite collocation approach. The proposed scheme is applied to foodstuff's samples during freezing process; evaluation of the time evolution of the temperature profile along the sample, as well as at the core, is carried out. The moving phase-change zone is identified in the domain and plotted at several timesteps. The robustness of the proposed scheme is tested by a comparison of the obtained numerical results with those found using a Finite Volume Method and with experimental results.

Settore ING-IND/10 - Fisica Tecnica IndustrialeFoodstuff Hermite collocation Numerical scheme Time evolutionCooling Finite volume method Food processing Freezing Heat transfer Numerical analysis Robustness (control systems)Radial basis function networks
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