1,721,002 research outputs found
Kinetic and Thermodynamical Interpretation of the Conservation Laws of a Nonlinear Schroedinger Equation and other Completely Integrable Equations
No full textA kinetic interpretation of the conservation laws of a class of completely integrable nonlinear evolution equations is obtained by introducing a distribution function depending on the spectral parameter of the inverse spectral transform of the equations. The formalism so introduced leads to a possible thermodynamical description of nonlinear and dispersive phenomena and has been applied in order to investigate the properties of the Madelung fluid associated to a nonlinear Schroedinger equation
A Mathematical Method for Dealing with the Nucleon Eigenvalue Problem in Finite Nuclei I: The Shell-Model ``Equivalent" Harmonic-Oscillator Potential
No full textThe role played by the isotropic harmonic oscillator in the shell model is extensively investigated. A Bohr-like model of the shell model is outlined with the purpose of providing a logical justification of the concept of harmonic-oscillator potential « equivalent » to the true shell model one as far as the calculation of nuclear energy levels is concerned. The potential « equivalence », defined according to different criteria, is used throughout. The consistency of the numerical results turns out to be excellent. Their critical analysis has suggested a calculational method of nucleon energy levels in finite nuclei which will be discussed in a forthcoming paper
Lagrangian Aproach to the Field Equations of the Padua Model of the Nucleon
No full textA Lagrangian density, inspired by the Ginzburg-Landau model of the superconductivity, has been constructed with the purpose of highlightening the role played by the boson fields characterizing the Padua model of the nucleon
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