Decio Levi

Room n°115
Department of Electronic Engineering
University of Rome "Roma Tre"
Via della Vasca Navale, 84 - 00146 - Roma - Italy
tel. +39 06 5733 7034
e-mail: levi@roma3.infn.it


Curriculum Vitae



Decio Levi (1972 MSc in Physics at the University of Rome "La Sapienza") from 1973 to 1981 held postdoctoral positions at the Universidad National Autonoma de Mexico, at the Rockfeller University in New York and at the University of Rome "La Sapienza". In 1981 was appointed research associate and in 1988 associate professor of Mathematical Methods for Physics at the University "La Sapienza". Since 1991 he is associate professor of Physical Applications of Group Theory at the University "Roma Tre". He is an associate member of the Italian Institute for Nuclear Physics (INFN), of GNFM-INdAM and of the Centre de Recherches Mathematique of the Universite' de Montreal. His current interests include the theoretical investigation of integrable systems and the use of symmetries and perturbation methods on both differential and finite-differences equations for their applications to physical systems.



Teaching


Group Theory
Physics of Nonlinear Systems
Simmetry and Integrability


Publications

2008

On the Integrability of the Discrete Nonlinear Schroedinger Equation, in collaboration with M Petrera e C Scimiterna, EuroPhysics Letters , in press.

Multiscale expansion on the lattice and integrability of partial difference equations, in collaboration with R H Heredero, M Petrera e C Scimiterna, J. Phys. A: Math. Theor. 41 315208 (12pp) (2008)

2007

Continuous Symmetries of the Lattice Potential KdV Equation, in collaboration with M. Petrera, J. Phys. A: Math. Theor. 40 4141-4159 (2007)

A difference analogue of the Davey?Stewartson system: discrete Gram-type determinant solution and Lax pair, in collaboration with Gegenhasi, X-B. Hu e S. Tsujimoto, J. Phys. A: Math. Theor. 40 (2007) 12741-12751 (2007)

The lattice Schwarzian KdV equation and its symmetries, in collaboration with M. Petrera e C. Scimiterna, J. Phys. A: Math. Theor. 40 12753-12761 (2007)

Multiscale expansion of the lattice potential KdV equation on functions of an infinite slow-varyness order, in collaboration with R. Hernandez-Heredero, M. Petrera e C. Scimiterna, J. Phys. A: Math. Theor. 40 F831-F840 (2007)

Asymptotic symmetries and integrability: the KdV case, in collaboration with M.A. Rodriguez, EuroPhysics Letters 80 No 6 (2007) 60005 (4pp) (2007)

2006

Continuous symmetries of difference equations, in collaboration with P. Winternitz, J. Phys. A: Math. Gen. 39 No 2 R1-R63 (2006)

Discrete reductive perturbation technique, in collaboration with M. Petrera, J. Math. Phys. 47, 043509 (2006)

On a discrete Davey-Stewartson system, in collaboration with Gegenhasi e X B Hu, Inverse Problems, 22 1677-1688 (2006)

2005

Multiscale Analysis of Discrete Nonlinear Evolution Equations: The Reduction of the dNLS, in collaboration with R. Hernandez Heredero, J. Nonl. Math. Phys. 12 Suppl. 1, 440-448 (2005).

Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV, J. Phys. A: Math. Gen. 38 7677-7689, (2005)

Asymptotic symmetries of difference equations on a lattice,in collaboration with G. Gaeta e R. Mancinelli, J. Nonl. Math. Phys., 12 Suppl. 2, 137-146, (2005)

2004

Status of the SPARC project, NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT,in collaboration with Alesini D, Bertolucci S, Biagini ME, Biscari C, Boni R, Boscolo M, Castellano M, Clozza A, Di Pirro G, Drago A, Esposito A, Ferrario M, Fusco V, Gallo A, Ghigo A, Guiducci S, Incurvati M, Ligi C, Marcellini F, Migliorati M, Milardi C, Mostacci A, Palumbo L, Pellegrino L, Preger M, Raimondi P, Ricci R, Sanelli C, Serio M, Sgamma F, Spataro B, Stecchi A, Stella A, Tazzioli F, Vaccarezza C, Vescovi M, Vicario C, Zobov M, Alessandria F, Bacci A, Boscolo I, Broggi F, Cialdi S, DeMartinis C, Giove D, Mroli C, Mauri M, Petrillo V, Rome M, Serafini L, Mattioli M, Medici G, Catani L, Chiadroni E, Tazzari S, Bartolini R, Ciocci F, Dattoli G, Doria A, Flora F, Gallerano GP, Giannessi L, Giovenale E, Messina G, Mezi L, Ottaviani PL, Pagnutti S, Picardi L, Quattromini M, Renieri A, Ronsivalle C, Cianchi A, Angelo AD, Di Salvo R, Fantini A, Moricciani D, Schaerf C, Rosenzweig JB, 528 (2004) 586-590 ,

Lie discrete symmetries of lattice equations, in collaboration with M.A. Rodriguez, J. Phys. A: Math. Gen. 37, 1711-1725 (2004).

Integrability Conditions for n and t Dependent Dynamical Lattice Equations, in collaboration with R. Yamilov, Jour. Nonlin. Math. Phys. 11, 75-101 (2004).

Lorentz and Galilei Invariance on Lattices, in collaboration with P. Tempesta and P. Winternitz, Phys. Rev. D. 69, 105011 (2004).

Discrete $q$--derivatives and symmetries of $q$--difference equations, in collaboration with J. Negro and M. dell'Olmo, J. Phys. A. 37, 3459-3473 (2004).

Umbral Calculus, Difference Equations and the Discrete Schroedinger Equation, in collaboration with P. Tempesta and P. Winternitz, J. Math. Phys. 45, 4077- 4105 (2004).

2003

The Discrete Nonlinear Schroedinger Equation and its Lie symmetry reductions, in collaboration with R. Hernandez Heredero, Jour. Nonlin. Math. Phys. 10 Suppl. 2, 77-94 (2003).

Transversal perturbation of longitudinal soliton modes on a Free Electron Laser, in collaboration with G.Dattoli and M.Mattioli, in collaboration with R. Hernandez Heredero Phys. Lett. A307 (2003) 239-243

Discrete CP1 sigma models and surfaces in R3, in collaboration with M.Grundland and L.Martina, J. Phys. A: Math. Gen. 36 (2003) 4599-4616.

The SPARC project: a high-brightness electron beam source at LNF to drive a SASE-FEL experiment, in collaboration with Alesini, D.; Bertolucci, S.; Biagini, M.E.; Biscari, C.; Boni, R.; Boscolo, M.; Castellano, M.; Clozza, A.; Di Pirro, G.; Drago, A.; Esposito, A.; Ferrario, M.; Fusco, V.; Gallo, A.; Ghigo, A.; Guiducci, S.; Incurvati, M.; Laurelli, P.; Ligi, C.; Marcellini, F.; Migliorati, M.; Milardi, C.; Palumbo, L.; Pellegrino, L.; Preger, M.; Raimondi, P.; Ricci, R.; Sanelli, C.; Sgamma, F.; Spataro, B.; Serio, M.; Stecchi, A.; Stella, A.; Tazzioli, F.; Vaccarezza, C.; Vescovi, M.; Vicario, C.; Zobov, M.; Acerbi, E.; Alessandria, F.; Barni, D.; Bellomo, G.; Boscolo, I.; Broggi, F.; Cialdi, S.; DeMartinis, C.; Giove, D.; Maroli, C.; Petrillo, V.; Rome, M.; Serafini, L.; Chiadroni, E.; Felici, G.; Mastrucci, M.; Mattioli, M.; Medici, G.; Petrarca, G.S.; Catani, L.; Cianchi, A.; DAngelo, A.; Di Salvo, R.; Fantini, A.; Moricciani, D.; Schaerf, C.; Bartolini, R.; Ciocci, F.; Dattoli, G.; Doria, A.; Flora, F.; Gallerano, G.P.; Giannessi, L.; Giovenale, E.; Messina, G.; Mezi, L.; Ottaviani, P.L.; Picardi, L.; Quattromini, M.; Renieri, A.; Ronsivalle, C.; Avaldi, L.; Carbone, C.; Cricenti, A.; Pifferi, A.; Perfetti, P.; Prosperi, T.; Albertini, V. Rossi; Quaresima, Cg; Zema, N., Nucl. Instrum. Methods Phys. Res. A; Accel. Spectrom. Detect. Assoc. Equip.507 (2003) 345-349

Conceptual design of a high-brightness linac for soft X-ray SASE-FEL source, in collaboration with Alesini, D.; Bertolucci, S.; Biagini, M.E.; Biscari, C.; Boni, R.; Boscolo, M.; Castellano, M.; Clozza, A.; Di Pirro, G.; Drago, A.; Esposito, A.; Ferrario, M.; Fusco, V.; Gallo, A.; Ghigo, A.; Guiducci, S.; Incurvati, M.; Laurelli, P.; Ligi, C.; Marcellini, F.; Migliorati, M.; Milardi, C.; Palumbo, L.; Pellegrino, L.; Preger, M.; Raimondi, P.; Ricci, R.; Sanelli, C.; Sgamma, F.; Spataro, B.; Serio, M.; Stecchi, A.; Stella, A.; Tazzioli, F.; Vaccarezza, C.; Vescovi, M.; Vicario, C.; Zobov, M.; Acerbi, E.; Alessandria, F.; Barni, D.; Bellomo, G.; Boscolo, I.; Broggi, F.; Cialdi, S.; DeMartinis, C.; Giove, D.; Maroli, C.; Petrillo, V.; Rome, M.; Serafini, L.; Chiadroni, E.; Felici, G.; Mastrucci, M.; Mattioli, M.; Medici, G.; Petrarca, G.S.; Catani, L.; Cianchi, A.; DAngelo, A.; Di Salvo, R.; Fantini, A.; Moricciani, D.; Schaerf, C.; Bartolini, R.; Ciocci, F.; Dattoli, G.; Doria, A.; Flora, F.; Gallerano, G.P.; Giannessi, L.; Giovenale, E.; Messina, G.; Mezi, L.; Ottaviani, P.L.; Picardi, L.; Quattromini, M.; Renieri, A.; Ronsivalle, C.; Avaldi, L.; Carbone, C.; Cricenti, A.; Pifferi, A.; Perfetti, P.; Prosperi, T.; Albertini, V. Rossi; Quaresima, Cg; Zema, N., Nucl. Instrum. Methods Phys. Res. A; Accel. Spectrom. Detect. Assoc. Equip.507 (2003) 502-506

Lie discrete symmetries of lattice equations, in collaboration with M.A. Rodriguez, J. Phys. A: Math. Gen. 37 1711-1725

The Discrete Nonlinear Schrdinger Equation and its Lie symmetry reductions, in collaboration with R. Hernandez Heredero, Jour. Nonlin. Math. Phys. 10 Suppl. 2 (2003) 77-94

2002

Lie point symmetries and commuting flows for equations on lattices, in collaboration with P.Winternitz, J. Phys. A: Math. Gen. 35 (2002) 2249-2262.

2001

Discrete derivatives and symmetries of difference equations, in collaboration with J.Negro and M.A.del Olmo, J. Phys. A: Math. Gen. 34 (2001) 2023-2030.

Discrete third-order spectral problems and a new Toda-type equation, in collaboration with M.Grundland, J. Phys. A: Math. Gen. 35 ( 2002) L67-L73.

Relation between Baklund transformations and higher continuous symmetries of the Toda equation,in collaboration with R.Hernandez Heredero, M.A.Rodriguez e P.Winternitz, J. Phys. A: Math. Gen. 34 (2001) 2459-2465.

Integrable Hierarchies of Nonlinear Difference Difference Equations and symmetries, in collaboration with L.Martina, J. Phys. A: Math. Gen. 34 (2001) 10357-10368.

On the integrability of a new discrete nonlinear Schrdinger equation, in collaboration with R.Yamilov J. Phys. A: Math. Gen. 34 (2001) L553-L562.

Lie symmetries of multidimensional difference equations, in collaboration with S.Tremblay and P.Winternitz, J. Phys. A: Math. Gen. 34 (2001) 9507-9524.

2000

Non-point Integrable Symmetries for Equations on the Lattice, in collaboration with R.Yamilov, J. Phys. A: Math. Gen. 33 ( 2000) 4809-4823.

Exponential operators and generalized difference equations, in collaboration with G.Dattoli Nuovo Cimento 115B (2000) 653-662.

Lie algebra contractions and symmetries of the Toda hierarchy, in collaboration with R.Hernandez Heredero, M.A.Rodriguez and P.Winternitz, J. Phys. A: Math. Gen. 33 (2000) 5025-5040.

Lie point symmetries of difference equations and the lattice, in collaboration with S.Tremblay and P.Winternitz, J. Phys. A : Math Gen. 33 (2000) 8507-8523.

1999

Symmetries of the Discrete Burgers Equations, in collaboration with R.Hernandez Heredero and P.Winternitz, J. of Phys. A: Math. Gen. A32 (1999) pp.2685-2695.

Free Electron Lasers and soliton propagation, in collaboration with G.Dattoli and M.Mattioli, Phys. Letters A256 (1999) pp.253-256.

On higher order Riccati equations as Backlund transformations, in collaboration with M.Grundland, J. Phys. A.: Math. Gen. 32 (1999) pp. 3931-3937.

Dilation symmetries and equations on the lattice, in collaboration with R.Yamilov, J. Phys. A: Math. Gen. 32 (1999) 8317-8323.

Lie symmetries for integrable evolution equations on the lattice, in collaboration with M.A.Rodriguez, J. Phys. A: Math. Gen. 32 (1999) 8303-8316.

1997

Lie group formalism for differrence equations, in collaboration with L.Vinet e P.Winternitz, J. Phys. A: Math. Gen. 30 (1997) pp.633-649.

Conditions for the existence of higher symmetries of evolutionary equations on the lattice, in collaboration with R.Yamilov, J. Math. Phys. 38 (1997) pp.6648-6674.

1996

Irrotational water waves and the complex Korteweg de Vries equation, in collaboration with M.Sanielevici, Physica D98 (1996) pp.510-514.

Symmetries of discrete dynamical systems, in collaboration with P.Winternitz, J. Math. Phys. 37 (1996) pp.5551-5576.

1994

Construction of higher local 2+1 dimensional exponential lattice equations, in collaboration with O.Ragnisco and A.B.Shabat, Canadian Journal of Physics 72 (1994), pp. 439-441.

Similarity reduction and perturbation solution of the stimulated Raman scattering equations in the presence of dissipation, in collaboration with C.R.Menyuk and P.Winternitz, Phys. Rev. A49 (1994) pp.2844-2852.

Simmetries and conditional symmetries of a nonrelativistic Chern-Simons system, in collaboration with L.Vinet and P.Winternitz, Annals of Physics 230 (1994) pp.101-117.

1993

Quasi-Solitons on a diatomic chain at room temperature, in collaboration with A.Campa, A.Giansanti, O.Ragnisco and A.Tenenbaum, Phys. Rev. B48 (1993) pp.10168-10182.

Symmetries and Conditional symmetries of Differential-difference Equations, in collaboration with P.Winternitz, J. Math Phys 34 (1993) pp. 3713-3730.

1992

Selfsimilarity in stimulated Raman scattering, in collaboration with C.R.Menyuk and P.Winternitz, Phys. Rev. Lett. 69 (1992) pp. 3048-3051.

Symmetry Group of partial differential equations and of differential difference equations: the Toda lattice vs the Korteweg de Vries equation, in collaboration with M.A.Rodriguez, J. Phys. A: Math Gen. 25 (1992) pp. L975-L979.

On non-isospectral flows, Painleve equations and symmetries of differential difference equations, in collaboration with M.A.Rodriguez and O.Ragnisco, Teor. Math. Phys. 93 (1992) pp. 473-480.

1991

Exact solutions of the stimulated Raman Scattering equations, in collaboration with C.R.Menyuk and P.Winternitz, Phys. Rev. A44 (1991) pp. 6057-6070.

Continuous symmetries of discrete equations, in collaboration with P.Winternitz, Phys. Lett. A152 (1991) pp. 335-338.

Inhomogeneous Toda Lattice: its hierarchy and Darboux-Backlund transformations, in collaboration with O.Ragnisco, Journ. Phys. A:Math.Gen. 24 (1991) pp. 1729-1739.

1990

Nonlinear surface waves and internal waves in stratified shear flow, in collaboration with V.Artale, Geophysical and Astrophysical Fluid Dynamics 54 (1990) pp 35-48.

Analysis of Nonlinear Internal Waves Observed by Landsat Thematic Mapper, in collaboration with V.Artale, S.Marullo and R.Santoleri, Journ. Geoph. Research 95 (1990) pp. 16065-16073.

Group invariance of a neo-Hookean system: Incorporation of stretch change, in collaboration with C.Rogers, Journal of Elasticity 24 (1990) pp.295-300.

Integrable systems describing surfaces of non-constant curvature, in collaboration with A.Sym. Phys. Lett. A149 (1990) pp.381-387.

A working Algorithm to Isolate Integrable Surfaces in E3, in collaboration with A.Sym and Tu Gui-Zhang, preprint Dip.Fis. INFN N.761 del 10/10/1990.

1989

Alternatives to the Kadomtsev-Petviashvili equation in the description of water waves in more dimensions, Phys. Lett. A135 (1989) pp.453-457.

Solitons in Shallow Seas of Variable Depth and in Marine Straits, in collaboration with D.David and P.Winternitz, Stud. Appl. Math. 80 (1989) pp.1-23.

Non-classical symmetry reduction: example of the Boussinesqequation, in collaboration with P.Winternitz, J. Phys. A: Math. Gen. 22 (1989) pp.2915-2924.

Group theoretical analysis of a rotating shallow liquid in a rigid container, in collaboration with M.C.Nucci, C.Rogers e P.Winternitz, J. Phys. A; Math. Gen. 22 (1989).

1988

On a new Darboux transformation for the construction of exact solutions of the Schroedinger equation, Inverse Problems 4 (1988) pp.165-172.

Non-isospectral deformations and Darboux transformations for the third order spectral problem, in collaboration with O.Ragnisco, Inverse Problems 4 (1988) pp.815-828.

The Cylindrical Kadomtsev-Petviashvili Equation; its Kac-Moody-Virasoro Algebra and Relation to the KP equation, in collaboration with P.Winternitz, Phys. Lett. A129 (1988) pp.165-167.

Equations Invariant Under the Symmetry Group of the Kadomtsev-Petviashvili Equation, in collaboration with D.David and P.Winternitz Phys. Lett. A129 (1988) pp.161-164.

1987

Integrable nonlinear equations for water waves in straits of varying depth and width, in collaboration with D.David and P.Winternitz Studies in Applied Mathematics 76(1987) pp.133-168.

Nonlinear internal waves in a one-dimensional Channel, in collaboration with V.Artale, Il Nuovo Cimento 10C(1987) pp.61-76.

Equivalent classes of integrable nonlinear evolution equations and generalized Miura transformations, in collaboration with Deng-yuan Chen and Yi-shen Li, Journal of Physics A:Math.Gen. 20 (1987) pp.313-321.

Hierarchies of integrable equations obtained as nonisospectral (in x and t) deformations of the Schroedinger spectral problem, Physics Letters 119A (1987) pp.453-456.

1986

Symmetry reduction for the Kadomtsev-Petviashvili equation using a loop algebra, in collaboration con D.David, N.Kamran and P.Winternitz, Journal of Mathematical Physics 27 (1986) pp.1225-37.

Backlund transformations and the infinite dimensional Symmetry group of the Kadomtsev-Petviashvili equation, in collaboration with D.David and P.Winternitz, Physics Letters 118A (1986) pp.390-394.

Solitons on a relativistic string, in collaboration with J.Cieslinski and A.Sym, preprint DF-INFN N.496 (13/1/86).

Toward an unification of the various techniques used to integrate nonlinear partial differential equations: Backlund and Darboux transformations vs. dressing method, Reports in Mathematical Physics 23 (1986) pp.41-56.

1985

On strong and weak Backlund transformations, in collaboration with Z.Popowicz, Journal of Physics A: Math.Gen. 18 (1985) pp.215-9.

Subalgebras of loop algebras and symmetries of the Kadomtsev-Petviashvili equation, in collaboration with D.David, N.Kamran and P.Winternitz, Physics Review Letters 55 (1985) pp.2111-3.

Approximate inverse spectral transform for the Korteweg-de Vries equation, in collaboration with O.Ragnisco, Journal of Physics A: Math.Gen. 18 (1985) pp.1939-44.

Soliton surfaces VII. Relativistic string in external field: general integral and particular solutions, in collaboration with A.Sym, O.Ragnisco and M.Bruschi, Lettere al Nuovo Cimento 44 (1985) pp.529-36.

1984

The Backlund transformations for nonlinear evolution equations which exhibit exotic solitons, in collaboration with O.Ragnisco and A.Sym, Physics Letters A100 (1984) pp.7-10.

Some remarks on the normalization condition problem of the dressing method, in collaboration with O.Ragnisco and A.Sym, Journal of Physics A: Math.Gen. 17 (1984) pp.931-934.

Dressing method vs. classical Darboux transformation, in collaboration with O.Ragnisco and A.Sym, Il Nuovo Cimento 83B (1984) pp.34-42.

On the generation of internal solitary marine waves, in collaboration with V.Artale, E.Salusti and F.Zirilli, Il Nuovo Cimento 7C (1984) pp.365-77.

A new nonlinear Schroedinger equation, its hierarchy and n-soliton solutions, in collaboration with G.Neugebauer and R.Meinel, Physics Letters A102 (1984) pp.1-6.

On the Olshanetsky-Perelomov many-body system in an external field, in collaboration with S.Wojciechowski, Physics Letters A103 (1984) pp.11-14.

1983

N-solitons on a vortex filament, in collaboration with A.Sym and S.Wojciechowski, Physics Letters A94 (1983) pp.408-411.

Continuous and discrete matrix Burgers hierarchies, in collaboration with M.Bruschi and O.Ragnisco, Il Nuovo Cimento B74 (1983) pp.33-51.

A hierarchy of coupled Korteweg-de Vries equations, Physics Letters A95 (1983) pp.7-10.

A hierarchy of coupled Korteweg-de Vries equations and the normalization conditions of the Hilbert-Riemann problem, in collaboration with A.Sym and S.Wojciechowski, Journal of Physics A: Math.Gen. 16 (1983) pp.2423-2432.

1982

The quantum Toda lattice, in collaboration with M.Bruschi, M.A.Olshanetsky, A.M.Perelomov and O.Ragnisco, Physics Letters A88 (1982) pp.7-12.

Backlund transformations for chiral field equations, in collaboration with O.Ragnisco, Physics Letters A87 (1982) pp.381-384.

The chiral field hierarchy, in collaboration with M.Bruschi and O.Ragnisco, Physics Letters A88 (1982) 379-382.

The discrete chiral field hierarchy, in collaboration with M.Bruschi and O.Ragnisco, Lettere al Nuovo Cimento 33 (1982) pp.284-288.

Nonlinear partial differential equations and Backlund related to the 4-dimensional selfdual Yang-Mills equation, in collaboration with M.Bruschi and O.Ragnisco, Lettere al Nuovo Cimento 33 (1982) pp.263-266.

Backlund transformations vr. dressing method, in collaboration with O.Ragnisco and A.Sym., Lettere al Nuovo Cimento 33 (1982) pp.401-406.

The inverse scattering transform for solving the discrete Sine-Gordon equation, in collaboration with L.Pilloni, Physics Letters A92 (1982) pp.5-8.

1981

Evolution equations associated con the discrete analogue of the matrix Schroedinger spectral problem solvable by the inverse spectral transform, in collaboration with M.Bruschi and O.Ragnisco, Journal of Mathematical Physics 22 (1981) pp.2463-2471.

Nonlinear differential difference equations as Backlund transformations, Journal of Physics A: Math.Gen. 14 (1981) pp.1083-1098

Backlund transformations for nonlinear evolution equations in 2+1 dimensions, in collaboration with L.Pilloni and P.M.Santini, Physics Letters A81 (1981) pp.419-423.

Integrable three dimensional lattices, in collaboration with L.Pilloni and P.M.Santini, Journal of Physics A: Math.Gen. 14 (1981) pp.1567-1575.

1980

Toda lattice and generalized wronskian technique, in collaboration with M.Bruschi and O.Ragnisco, Journal of Physics A:Math.Gen. 13 (1980) pp.2531-2533.

Group theoretical approach to nonlinear evolution equations Lax type. III: the Boussinesq equation, in collaboration with M.A.Olshanetsky, A.M.Perelomov and O.Ragnisco, Physics Letters A77 (1980) pp.307-311.

Extension of the Zakharov-Shabat generalized inverse method to solve differential difference and difference difference equations, in collaboration with O.Ragnisco and M.Bruschi, Il Nuovo Cimento A58 (1980) pp.56-66.

The non-abelian Toda lattice - discrete analogue of the matrix Schroedinger spectral problem, in collaboration with M.Bruschi, S.V.Manakov and O.Ragnisco, Journal of Mathematical Physics 21 (1980) pp.2749-2753.

Backlund transformations and nonlinear differential difference equations, in collaboration with R.Benguria, Proceedings of the National Academy of Science USA 77 (1980) pp.5025-5027.

1979

Nonlinear differential difference equations con n-dependent coefficients I, in collaboration with O.Ragnisco, Journal of Physics A: Math.Gen. 12 (1979) pp. L157-L162.

Nonlinear differential difference equations con n-dependent II, in collaboration with O.Ragnisco, Journal of Physics A: Math.Gen. 12 (1979) pp.L163-L167.

Discrete version of the nonlinear Schroedinger equation con linearly x-dependent coefficients, in collaboration with M.Bruschi and O.Ragnisco, Il Nuovo Cimento A53 (1979) pp.21-30.

1978

Nonlinear evolution equations solvable by the inverse spectral transform associated to the matrix Schroedinger equation of rank 4, in collaboration with M.Bruschi and O.Ragnisco, Il Nuovo Cimento B43 (1978) pp.251-270.

Evolution equations associated to the triangular matrix Schroedinger problem solvable by the inverse spectral transform, in collaboration with M.Bruschi and O.Ragnisco, Il Nuovo Cimento A45 (1978) pp.225-237.

Extension of the spectral transform method for solving nonlinear differential difference equations, in collaboration with O.Ragnisco, Lettere al Nuovo Cimento 22 (1978) pp.691-696.

Discrete version of the modified Korteweg-de Vries equation con x-dependent coefficients, in collaboration with M.Bruschi and O.Ragnisco, Il Nuovo Cimento A48 (1978) pp.213-226.

1977

Perturbative approach to some one-dimensional many-body problems. II: Brueckner approach to the Sutherland model, in collaboration with O.Ragnisco, Il Nuovo Cimento B41 (1977) pp.137-150.

1976

Generalized Van der Waals theory, in collaboration with M.de Llano, Revista Mexicana de Fisica 25 (1976) pp.61-67.

La mecanica cuantica y sus interpretaciones, in collaboration with T.A.Brody et.al., Revista Mexicana de Fisica 25(1976) pp.E31-E62.

Lie algebras in the Schroedinger picture and radial matrix elements, in collaboration with E.Chacon and M.Moshinsky, Journal of Mathematical Physics 17 (1976) pp.1919-1929.

Perturbative approach to some one-dimensional many-body problems.I: discussion of the Rayleigh-Schroedinger and Brillouin-Wigner series for the Sutherland model, in collaboration with O.Ragnisco, Il Nuovo Cimento B34 (1976) pp.391-410.

1975

Closed form of the second virial coefficient for Sutherland potential, in collaboration with M.de Llano, Journal of Chemical Physics 63 (1975) pp.4561-4562.

Equivalence of a class of Wigner coefficients of SU(1,1) con those of SU(2), in collaboration with E.Chacon and M.Moshinsky, Journal of Mathematical Physics 16 (1975) pp.1876-1879.

1974

Relations between hyperspherical and harmonic-oscillator many-body matrix elements, in collaboration with M.Moshinsky, Il Nuovo Cimento A20 (1974) pp.107-114.

1973

One-boson-exchange potentials and nuclear structure, in collaboration with F.Calogero, Physical Review C8 (1973) pp.83-92.

Relations between the hyperspherical harmonic and the harmonic oscillator methods for the three body problem, in collaboration with E.Chacon and M.Moshinsky, Revista Mexicana de Fisica 22(1973) pp.291-319.