1,729,103 research outputs found
Sistema insediativo funzionale: indirizzi per la localizzazione delle sedi della formazione e ricerca universitaria
Il contributo è parte delle ricerche per la redazione del Piano Territoriale Provinciale della Provincia di Roma - Rapporto territorio coord. scient. Prof. C. Nucci.
Il sistema delle sedi universitarie esistenti e programmate è un'importante componente delle strategie del PTPG orientate a realizzare il funzionamento metropolitano della Provincia anche attraverso la messa in rete dei luoghi di eccellenza e formazione universitaria della ricerca e del trasferimento alla produzione di nuove tecnologie.The contribution is part of the research for the Rome Metropolitan Plan of the Provincia di Roma- coord. scient. Prof. C. Nucci.
The system of existing universities is an important component of the PTPG strategies through the networking of points of excellence and academic research training and IT transfer
Il sistema del verde: componente del disegno progettuale della città contemporanea in Fare Ricerca per il progetto.
Il contributo illustra i contenuti della Tesi di Dottorato.
L'intero del volume riunisce 40 contributi esito di venti anni di ricerche del Dottorato in Urbanistica di Pescara Coord. A. Clementi.
Il contributo Nucci si inserisce nell'ampio quadro di problemi contemporanei dell’urbanistica e di soluzioni proposte dalle tesi
Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator
The classical MICZ-Kepler problem is shown to be reducible to an isotropic two-dimensional system of linear harmonic oscillators and a conservation law in terms of new variables related to the Ermanno-Bernoulli constants and the components of the Poincare vector. An algorithmic route to linearization is shown based on Lie symmetry analysis and the reduction method [Nucci, J. Math. Phys. 37, 1772 (1996) ]. First integrals are also obtained by symmetry analysis and the reduction method [Marcelli and Nucci,J. Math. Phys. 44, 2111 (2002) ]
Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries
The classical quantization of the motion of a free particle and that of an harmonic oscillator on a double cone are achieved by a quantization scheme [M. C. Nucci, Theor. Math. Phys. 168 (2011) 994], that preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schrödinger equation. The result is different from that given in [K. Kowalski, J. Rembielński, Ann. Phys. 329 (2013) 146]. A comparison of the different outcomes is provided
Nonclassical symmetries for a class of reaction-diffusion equations: the method of heir-equations
The nonclassical symmetries method is applied to a class of reaction-diffusion equations with nonlinear source,
i.e. ut = uxx +cux +R(u, x). Several cases are obtained by using suitable solutions of the heir-equations as
described in [M.C. Nucci, Nonclassical symmetries as special solutions of heir-equations, J. Math. Anal. Appl.
279 (2003) 168–179]
Lie symmetries of a Painleve'-type equation without Lie symmetries
We use a method inspired by the Jacobi last multiplier [M. C. Nucci, Jacobi last multiplier and Lie symmetries: a novel application of an old relationship, J. Nonlinear Math. Phys. 12, 284-304 (2005)] in order to find Lie symmetries of a Painleve-type equation without Lie point symmetries
Quantization of quadratic Liénard-type equations by preserving Noether symmetries
The classical quantization of a family of a quadratic Liénard-type equation (Liénard II equation) is achieved by a quantization scheme (Nucci 2011) [28] that preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schrödinger equation. This method straightforwardly yields the Schrödinger equation as given in Choudhury and Guha (2013) [6]
Sullins vs Strizzi and Di Nucci
We address Sullins’ (2023b) response to our reply (Strizzi & Di Nucci, 2023b): we believe that the issue at the core of our disagreement is conceptual, and it hinges on the use of the term “Sexual Orientation Change Efforts (SOCE).” Sullins (2023b) claims that there is a distinction between “SOCE” and “conversion therapy.” If one searches “Sexual Orientation Change Efforts” in the American Psychological Association’s (APA) Dictionary of Psychology, the result is “see conversion therapy”..
Jacobi's last multiplier and the complete symmetry group of the Ermakov-Pinney equation
The Ermakov-Pinney equation possesses three Lie point symmetries with the algebra sl(2, R). This algebra does not provide a representation of the complete symmetry group of the Ermakov-Pinney equation. We show how the representation of the group can be obtained with the use of the method described in Nucci, J. Nonlin. Math. Phys. 12 ( 2005) ( this issue), which is based on the properties of Jacobi's last multiplier (Bianchi L, Lezioni sulla teoria dei gruppi continui finiti di trasformazioni, Enrico Spoerri, Pisa, 1918), the method of reduction of order ( Nucci, J. Math. Phys 37 ( 1996), 1772 - 1775) and an interactive code for calculating symmetries ( Nucci, Interactive REDUCE programs for calcuating classical, non-classical and Lie-Backlund symmetries for differential equations (preprint: Georgia Institute of Technology, Math 062090-051, 1990, and CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 3: New Trends in Theoretical Developments and Computational Methods, Editor: Ibragimov N H, CRC Press, Boca Raton, 1996, 415 - 481)
Calogero's "goldfish" is indeed a school of free particles
A many-body system of N nonlinear ordinary differential equations of second order which is amenable to exact treatments (a 'goldfish') (Calogero 2001 The neatest many-body problem amenable to exact treatments (a 'goldfish'?) Physica D 152-153 78-84) is shown to be equivalent through an exact transformation to the equations of one-dimensional motion of (N - 1) free particles (a school of free particles, indeed). The transformation is obtained by applying the reduction method and Lie group analysis as introduced in Nucci (1996 The complete Kepler group can be derived by Lie group analysis J. Math. Phys. 37 1772-5)
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