Albert100: il gruppo di Parma ha realizzato un progetto finanziato dalla Commissione Scientifica Nazionale del gruppo IV INFN. Si tratta di un server ad alte prestazioni realizzato con un cluster di PC (88 processori e un totale di 66 GByte di memoria fisica, oltre a 1.6 TBytes di memoria di massa). Il sistema è stato inaugurato il 19 febbraio 2002 al Dipartimento di Fisica dell'Università di Parma. E' stato gia` effettuato l'upgrade del sistema, da parte della ditta EXADRON, con l'introduzione di processori a 64 bit (AMD opteron) e una rete veloce (Infiniband, 10Gbps), che permettono di raggiungere una potenza sostenuta di circa 100 GFlops su calcoli di Relatività Numerica. Attualmente lo sviluppo di nuovi clusters viene portato avanti in collaborazione con l'Università di Milano-Bicocca, dove è installato un nuovo sistema denominato Turing .

Quantum integrable systems: (in collaboration with V. Fateev, Landau Institute and Université de Montpellier II). The Mathematica code used in the paper hep-th/0203131 can be downloaded from here. It allows to a) find numerically the Toda vacuum solution with boundary terms, b) check the validity of the analytic solution (only for D_N).
Conformal Blocks - Liouville Field Theory: a collaboration with V.A.Fateev, A. Neveu and A. V. Litvinov.

Fermilab-Pub-03/165-T, LPM/03-013, UPRF-2003-12: The paper contains a perturbative expansion to high orders of the spectrum of excitations of the model. The programs used in the paper can be found here. Notice that the perturbative expansion can be calculated i) symbolically with the Mathematica code or ii) in floating point with the Matlab code . The spectrum can also be computed, beyond perturbation theory, using the matlab code which can be download here .

Lattice perturbation theory (collaboration with G.Marchesini, F.Direnzo, G.Burgio, L.Scorzato) This is a long standing project with some partial relevant results in the field of pure gauge SU(3): the main achievement has been the calculation of the perturbative expansion of the plaquette to the tenth order in a . The program is still in progress with applications to the problem of renormalons. See also http://www.pr.infn.it./infn/preprints/ape100/talk.html

Numerical Relativity: in collaboration with G.Veneziano and J.Maharana): the solution of Einsteins's equation for the gravitational field coupled to a scalar (dilaton) can be attempted by a numerical analysis. This project has already achieved some success (see xxx.lanl.gov/abs/gr-qc/9802001 or http://www.pr.infn.it/preprints/preprints.html ). The numerical code (matlab) used in the paper can be found here . Further developments are under study with F. Di Renzo, R. Depietri and M.Rossi. The idea is to study the problem in full 3-D implmenting a Cactus thorne.

Software: other downloadable Matlab code (Knuth's alias method)

I always kept an eye on Geometric Quantization, and now and then come back to some of its subtle problems. These are the most recent contributions: Landau Levels on a Torus:

quant-ph/0007055

quant-ph/0804.3673, revised version published on Int.J.Mod.Phys.C vol.18, December 2008

Software related to Landau levels on a torus Landau.m

Celestial mechanics with Matlab

Teaching numerical analysis for physicists is a good opportunity for examining old problems under a new viewpont.
Here you can find a matlab code to make experiments in celestial mechanics. The three-body system Sun-Earth-Moon has a complex dynamics. Today it can be studied in detail on the time scale of millennia through
the efficient routines of matlab (ode113, ode45). The problem of stability of a satellite at the lagrangian point
L4, which has been solved in the restricted case (namely by ignoring sun's attraction) can be easily investigated. The numerical evidence is that the satellite would be unstable, running away on a solar orbit in less than two years.
(see Comp. in Science and Engineering, november issue 2001)

Source code can be downloaded from in Celestial mechanics with matlab (in tar.gz format, 0.7MB)
(warning: requires matlabr11 (v.5.3) or higher 6.0, 6.1) or, if you prefer, you can browse the directory and download single files.

Conformal Blocks - Liouville Field Theory: a collaboration with V.A.Fateev, A. Neveu and A. V. Litvinov.

quant-ph/0007055

quant-ph/0804.3673, revised version published on Int.J.Mod.Phys.C vol.18, December 2008

Software related to Landau levels on a torus Landau.m

Celestial mechanics with Matlab