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Roberto Amerigo BENEDUCI - Professori Associati

Roberto Amerigo BENEDUCI

Professori Associati

Fisica matematica (MATH-04/A)

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Position: Assistant professor in Mathematical Physics at the Department of Mathematics of the University of Calabria (Italy) from January 2005.. Research Fellow at the University of York (UK) from October 2011. Affiliations: INFN (National Institute of Nuclear Physics), GNFM (National Group of Mathematical Physics), IQSA (International Quantum Structure Association). Collaborations with Journals: Reviewer for the Mathematical Reviews (American Mathematical Society) from June 2007. Editor for the Pioneer Journal of Mathematical Physics and its Applications. Editor for the Pioneer Journal of Algebra Number theory and its Applications. Lectures: Rational Mechanics, Analytical Mechanics, Continuum Mechanics. Research Activity: The research activity can be divided into the following two topics. a) Mathematical Problems of Quantum Mechanics, b) Mathematical Models for Charge transport in Semiconductors. a) Regarding the first topic I have worked on the problem of measurement in quantum mechanics, the formulation of quantum mechanics called “Consistent Hystories Theory’’. I’m working to the physical and mathematical consequences of the generalization of the concept of observable by means of the Positive Operator Valued Measures (POVM). b) Regarding the second topic I’m working to the derivation of a quantum model for the charge transport in semiconductors. The motivation for such an effort is due to the transition from microtechnology to nanotechnology which undermines the reliability of the models which are currently used in semiconductor industry. Indeed, the relevance of quantum effects demands a fully quantum description, which calls for the mathematically sophisticated models of quantum transport. Research projects: I am involved in the following European and National projects: 1) ERG (EU + MIUR) 2) Last Power (EU + MIUR)
Position: [1] Assistant professor in Mathematical Physics at the Department of Physics of the University of Calabria (Italy) since November 2012. [2] Assistant professor in Mathematical Physics at the Department of Mathematics of the University of Calabria (Italy) since January 2005 to October 2012. Affiliations: GNFM (National Group of Mathematical Physics), INFN (National Institute of Nuclear Physics), IQSA (International Quantum Structure Association). Honors: • Visiting Marsico Professor at the University of Denver (USA) form september to december 2009. • Councillor for the IQSA (International Quantum Structure Association) from July 2010. • Research Fellow at the Department of Mathematics of the University of York (UK) from October 2011 to September 2012. Collaborations with Journals: • Referee for the following Journals: International Journal of Theoretical Physics, Foundations of Physics, Abstract ans Applied Analysis, Conference Proceedings series of the AMS, Axioms, Canadian Journal of Physics, American Journal of Physics. • Reviewer for the Mathematical Reviews (American Mathematical Society) from June 2007. Other collaborations: • Reviewer for the Italian Ministry of Research and University Research Projects: I have been the scientific coordinator of the following research project: POR Calabria FSE 2007/2013 (dal 01-12-2013 al 30-06-2015). I have been involved in the following National and International research projects: • Last Power (JU + MIUR) • E2SG (JU + MIUR) • INTERLINK (MIUR), COMSON (EU), SCIENAR (EU), • Progetto Giovani Ricercatori promosso dal GNFM 2010, • Progetto Giovani Ricercatori promosso dal GNFM 2011. Lectures: I have taught: • Calculus for the students of the second level Master degree in Management of Natural Hazards (University of Calabria) Academic Year 2001-2002. • Rational Mechanics and Analytical Mechanics (From 2006 to 2011). • Continuum Mechanics for the students of Mathematics (University of Calabria) (Academic Year 2004-2005). • The problem of causality (University of Denver, USA) (October 2009). • Mathematical Methods and Models (The topic I Taught is Complex Analysis) for the students in Materials Science (University of Calabria) (Academic Year 2012-2013). • Mathematical Methods for Physics (The topic I taught is complex analysis and modern analysis) (Academic year 2012-2013) for the students in Physics (University of Calabria). • Advanced Mathematics for Physics (The topic I taught is General Topology, Measure Theory, Spectral Theory, Stochastic processes) (Academic years 2013-2014) Master degree in Physics (University of Calabria). • Applied Mathematics (Academic year 2013-2014) for the students in Electronic Engineering (University of Calabria). • Advanced Mathematics for Physics (The topic I teach is Group theory, Representations of Finite Groups, Matrix Lie groups, matrix Lie algebras, Lorentz Group, Poincarè group, Unitary representations of the Poincarè group) Academic years 2014-2015 and 2015-2016, 2016-2017, Master degree in Physics. • Linear Algebra and geometry (Academic years 2014-2015 and 2015-2016, 2016-2017), First year students in Electronic Engineering. Research Activity: Mathematical and Foundational problems in Quantum Mechanics, Applications of Functional Analysis and Operator Theory to Quantum Mechanics, Quantum Mechanics in Phase space. • Key words: Problems of functional analysis and operator theory arising in quantum mechanics. Mathematical foundations of Quantum Mechanics, Applications of Functional Analysis and Operator Theory to Quantum Mechanics, Positive Operator Valued Measures (POVMs), Geometric formulation of quantum mechanics on phase space, General probabilistic models. C*-algebras and Quantum Mechanics. Main Scientific Collaborations: Prof. F.E. Schroeck Jr., Department of Mathematics University of Denver, Colorado, USA Prof. Paul Busch, Department of Mathematics University of York, UK Prof. L. Molnar, Department of Analysis, Bolyai Institute, University of Szeged, Hungary Prof. Sylvia Pulmannova, Slovak Academy of Science, Bratislava. Prof. S.T. Ali, Concordia University (Montreal). Prof. J.P. Gazeau, University Paris-Diderot (Paris). Publications: [1] R. Beneduci, Commutative POV-measures: from the Choquet representation to the Markov kernel and back (submitted). [2] R. Beneduci, Universal Markov Kernel for Quantum Observables (submitted) [3] R. Beneduci, Joint Measurability Through Naimark’s Dilation Theorem, Reports on Mathematical Physics, 79 (2017) 197-214. [4] R. Beneduci, Positive Operator Valued Measures and Feller Markov Kernels, Journal of Mathematical Analysis and Applications, 442, 50-71 (2016). [5]G. Borgese, C. Pace, L. Rizzo, G. Artese, M. Perrelli, R. Beneduci, A complete design Flow of a General Purpose Wireless GPS/Inertial Platform for Motion Data Monitoring. International Journal of Engineering and Technology Innovation, 5 (2015) 141-155. [6]G. Borgese, C. Pace, L. Rizzo, G. Artese, M. Perrelli, R. Beneduci, Compact GPS/Inertial Platform for Wereless Motion Data Capture and Trajectory Reconstruction. International Journal of Electrical and Eelectronic Research, 3 (2015) 118-132. [7] R. Beneduci, L. Molnar, On the standard K-loop structure of positive invertible elements in a C*-algebra, Journal of Mathematical Analysis and Applications 420 (1), 551-562 (2014). [8] R. Beneduci, F.E. Schroeck, On the unavoidability of the interpretations of quantum mechanics, American Journal of Physics 82, 80-82 (2014). [9] G. Alì, R. Beneduci, G. Mascali, F.E. Schroeck, J.J. Slawianowski, Some Mathematical Considerations on Solid State Physics in the Framework of the Phase Space Formulation of Quantum Mechanics, Int. J. Theor. Phys. 53 (2014) 3546-3574. [10] R. Beneduci, Uniform continuity of POVMs, Int. J. Theor. Phys., 53 (2014) 3531-3545. [11] R. Beneduci, T. Bullock, P. Busch, C. Carmeli, T. Heinosaari, A. Toigo, Operational link between mutually unbiased bases and symmetric informationally complete positive operator-valued measures, Phys. Rev. A 88, 032312-1-15 (2013). [12] R. Beneduci, F.E. Schroeck, Jr., A note on the relationship between localization and the norm-1 property, J. Phys. A: Math. Theor. 46, 305303 (2013). [13] G. Alì, R. Beneduci, G. Mascali, F.E. Schroeck, J.J. Slawianowski, Some Mathematical Considerations on Solid State Physics in the Framework of the Phase Space Formulation of Quantum Mechanics, Int. J. Theor. Phys. (2014). [14] R. Beneduci, J. Brooke, R. Curran, F. Schroeck Jr., Classical Mechanics in Hilbert space, part 1, Int. J. Theor. Phys. 50, 3697-3723 (2011). [15] R. Beneduci, J. Brooke, R. Curran, F. Schroeck Jr., Classical Mechanics in Hilbert space, part 2, Int. J. Theor. Phys. 50, 3682-3696 (2011). [16] R. Beneduci, When is a subset of a Compact space compact?, Far East Journal of Mathematical Sciences: FJMS, 57, 133-137 (2011). [17] R. Beneduci, On the relationships between the moments of a POVM and the generator of the von Neumann algebra it generates, Int. J. Theor. Phys. 49, 3030-3038(2010) . [18] R. Beneduci, Infinite sequences of linear functionals, positive operator-valued measures and Naimark extension theorem, Bull. Lond. Math. Soc. 42 441-451 (2010). [19] R. Beneduci, Stochastic matrices and a property of the infinite sequences of linear functionals, Linear Algebra and its Applications, 43, 1224-1239 (2010). [20] R. Beneduci, On the Relationships Between the Moments of a POVM and the Generator of the von Neumann Algebra It Generates, Int. J. Theor. Phys. 50, 3724-3736 (2011). [21] R. Beneduci, Unsharp number observable and Neumark theorem, Il Nuovo Cimento B 123, 43-62 (2008). [22] G. Alì, Beneduci R., G. Mascali, Application of Generalized Observables to Stochastics Quantum Models in Phase Space. In: Proceedings WASCOM 2007, pp. 13-18, World Scientific Publishing, Singapore (2008). [23] R. Beneduci, Neumark operators and sharp reconstructions: The finite dimensional case, J. Math. Phys. 48, 022102 (2007). [24] R. Beneduci, G. Mascali, V. Romano, Extended hydrodynamical Models for Charge Transport in Si. In: Mathematics in Industry: Scientific Computing in Electrical Engineering, vol. 11, pp. 357-363, Springer-Verlag (2007). [25] R. Beneduci, Neumark's operators and sharp reconstructions, Int. J. Geom. Meth. Mod. Phys. 3, 1559 (2006). [26] R. Beneduci, A geometrical characterization of commutative positive operator valued measures, J. Math. Phys. 47, 062104 (2006). [27] R. Beneduci, G. Nisticò, Quantum Histories solution of Cooke and Hilgevoord problem. In: HITZLER P., KALMBACH G., RIECANOVA Z. Mint. vol. 9, p. 5-13, ULM:Aegis-Verlag, ISBN: 3-87005-067-5 (2004). [28] R. Beneduci, G. Nisticò, Sharp reconstruction of unsharp quantum observables, J. Math. Phys. 44, 5461 (2003). [29] G. Nisticò, R. Beneduci, Self-decoherence criterion of consistency for quantum histories, Phys. Lett. A, 299, 433 (2002). [30] F. Mallamace, R. Beneduci, P. Gambadauro, D. Lombardo, S.H. Chen (2001). Glass and Percolation Transitions in Dense Attractive Micellar System. PHYSICA A, vol. 302; p. 202-219, ISSN: 0378-4371.
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