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Titlebook: Advances in Quantum Mechanics; Contemporary Trends Alessandro Michelangeli,Gianfausto Dell‘Antonio Book 2017 Springer International Publis

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,Spherical Schrödinger Hamiltonians: Spectral Analysis and Time Decay,uite complete description of the phenomenon is given in terms of the eigenvalues and eigenfunctions of the restriction of . to the unit sphere, and a comparison with some uncertainty inequality is presented.
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Self-Adjoint Extensions of Dirac Operator with Coulomb Potential,em and to highlight the techniques employed and the main ideas. In the final part we outline a few major open questions that concern the topical problem of the multiplicity of self-adjoint realisations of the model, and which are worth addressing in the future.
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On the Inverse Spectral Problems for Quantum Graphs,and of the scattering phase. In the case of Sturm-Liouville operators defined on compact graphs and in general for differential operators on compact star-graphs, unknown potentials can be recovered from the knowledge of the spectrum of operators obtained imposing different boundary conditions.
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Analysis of Fluctuations Around Non-linear Effective Dynamics,er equation, as . → .. In collaboration with C. Boccato and B. Schlein we studied fluctuations around the approximate non linear Schrödinger dynamics, obtaining for all 0 < . < 1 a norm approximation of the evolution of an appropriate class of data on the Fock space.
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Roberto Lucchetti,Paola Radrizzaniplication we give an expression for the associated thermal Casimir energy. Whenever . = ..(−..), where .. is the characteristic function of an interval ., the thermal Casimir energy can be explicitly computed.
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