Short CV

1996 Degree in Physics, University of Pisa.
2000 Ph.D. in Mathematics, University  of Rome "La Sapienza" (Thesis).
2001-2003 Marie Curie Fellow at École Normale Supérieure, Paris.
2004 Marie Curie Reintegration at University  of Rome "La Sapienza".
2005 Junior Visiting Fellow at Centro di Ricerca Matematica "Ennio De Giorgi", Pisa.
2006 Permanent researcher at University Milano Bicocca.

Research interests

Quantum mechanics
Nonlinear Schrödinger equation
Bose-Einstein condensation
Decoherence
Many-body quantum systems and scaling limits
Quantum control

Collaborators and Coauthors

Claude Bardos (Paris)
Ugo Boscain (Paris)
Claudio Cacciapuoti (Bonn)
Michele Correggi (Trento)
Gianfausto Dell'Antonio (Trieste-Rome)
László Erdős (Munich)
Rodolfo Figari (Naples)
Domenico Finco (Rome)
François Golse (Paris)
Alessandro Michelangeli (Cambridge-Munich)
Claudia Negulescu (Toulouse)
Diego Noja (Milan)
Andrea Sacchetti (Modena)
Alessandro Teta (L'Aquila)
Nicola Visciglia (Pisa)

I participate in the ERC-Starting Grant on Geometric Control Methods fot the Heat and Schrödinger equation led by Ugo Boscain at CMAP - Ecole Polytechnique.

Selected recent talks


Feb 8, 2012: Stability and instability for the ground states of the one-dimensional NLS with a strong defect,
Département de Mathématiques, Université de Reims.
Oct 19, 2011: Stability and instability for the ground states of the one-dimensional NLS with a strong defect, RAS (asymptotic regimes for Schrödinger equations), Wolfgang Pauli Institute, Vienna.
May 25, 2011: Stability and instability for the ground states of the one-dimensional NLS with a strong defect,  Operator theory & boundary value problems, Orsay.
Apr 30, 2010: A fast soliton on a star graph, Department of Mathematics, Ludwig-Maximilians-Universität, München.
Nov 12, 2009: Stability of the ground states for the NLS with a point interaction, Workshop "Three Dispersive Days", Milan.
Nov 10, 2009: Décohérence à la limite cinétique, Centre de Mathématiques Appliquées, Ecole Polytechnique.
Sept 8, 2009: Mathematical models for the study of quantum decoherence. First meeting of the GDR on Quantum Dynamics, Lyon.
Apr 1, 2009: Decoherence in the kinetic limit, Dept of Mathematics, University of California at Davis.
Mar 16, 2009: Decoherence in the kinetic limit, Dept of Mathematics, University of California Berkeley.
Feb 5, 2009: Decoherence in the kinetic regime, Colloque sur les équations cinétiques et leurs applications, CIRM, Luminy.


Publications 

Chapters in books

R. A., D. Noja, A. Sacchetti, On the mathematical description of the effective behaviour of one-dimensional Bose-Einstein condensates with defects, Chapter  8 in the book Bose-Einstein Condensates: Theory, Characteristics, and Current Research, Nova Publisher, New York, 2010.

Papers

1. R. A., A. Teta, On the Aharonov-Bohm Hamiltonian, Lett. Math. Phys., n.1, pgg. 43--53, 1998 (archive).

2. R. A., Anisotropic Aharonov-Bohm Effect, Physics of Atomic Nuclei, Moscow, vol. 61, n. 11, pgg. 1954--1959, 1998.

3. R. A., A. Teta, A Simple Model of Concentrated Nonlinearity, Operator Theory: Advances and Applications, Birkhäuser Verlag, Basel, Switzerland, vol. 108, pgg. 183--189, 1999 (archive).

4. R. A., A. Teta, A Class of Nonlinear Schrödinger Equations with Concentrated Nonlinearity, J. Func. Anal., vol. 180, pgg. 148--175, 2001 (archive).

5. R. A., Blow-Up for Schrödinger Equation with Pointwise Nonlinearity,  Cont. Math.,  vol. 307, pgg. 1--7, 2002  (archive).

6. R. A., G. Dell'Antonio, R. Figari, A. Teta, The Cauchy Problem for the Schrödinger Equation in Dimension Three with Concentrated Nonlinearity, Ann. I. H. Poincaré - AN 20, 3, 477--500, 2003 (archive).

7. R. A., Some simple quantum mechanical models with point interactions, ``Proceedings of the First Junior European Meeting on Control Theory and Stabilization'', Université de Bourgogne, ed. U.Boscain e L.Faubourg, pgg.19--28, 2003.

8. R. A., G. Dell'Antonio, R. Figari, A. Teta, Blow Up Solutions for the Schrödinger Equation in Dimension Three with a  Concentrated Nonlinearity, Ann. I. H. Poincar\'e - AN 21, 121--137, 2004 (archive).

9. R. A., C. Bardos, F. Golse, A. Teta, Towards a rigorous derivation of the cubic NLSE in dimension one, Asymp. Anal., 40, 2, 93--108, 2004 (archive).

10. R. A., R. Figari, D. Finco, A. Teta, On the asymptotic behaviour of a quantum two-body system in the
small mass ratio limit, J. Phys. A: Math. Gen. 37, 7567--7580, 2004 (archive).

11. R. A., On the derivation of the Gross-Pitaevskii equation, Boll. UMI (8), 8-B, 359--368, 2005.

12. R. A., U. Boscain, Controllability of the Schrödinger Equation via Intersection of the Eigenvalues, Proc. of Science, CSTNA2005, 007.

13. R. A., A. Sacchetti, Transition from diffusion to blowup for one-dimensional NLS with a pointwise
interaction, J. Phys. A: Math. Gen. 38, n.39, 8379--8392, 2005 (archive).

14. R. A., R. Figari, D. Finco, A. Teta, Asymptotics for a system of two species of particles in the small mass ratio limit, Comm. Math. Phys., 268, 819--852, 2006 (archive).

15. R. A., F. Golse, A. Teta, Rigorous derivation of the cubic NLS in dimension one, J. Stat. Phys., 127, 6, 1193--1220, 2007.

16. R. A., L. Erdős, Rate of decoherence for an electron weakly coupled to a phonon gas, J. Stat. Phys, 132, 2, 301--328, 2008 (archive).

17. R. A., D. Noja, Existence of dynamics for a 1-d NLS equation perturbed with a generalized point defect, J. Phys. A: Math. Theor. 42, 495302, 2009.

18. R.A., C. Cacciapuoti, D. Finco, D. Noja, Fast solitons on star graphs, Rev. Math. Phys., vol. 23, n. 4, 409--451, 2011.

19. R.A., D. Noja,  Nonlinearity-defect interaction: symmetry breaking bifurcation with a delta-prime impurity, NANOSYSTEMS, vol. 2, p. 5--19, 2011.

20. R.A., C. Negulescu, A numerical study of quantum decoherence, Comm. Comp. Phys., vol. 12-1, 85--108, 2012.

21. R.A., C. Cacciapuoti, D. Finco, D. Noja, On the structure of critical energy levels for the cubic focusing NLS on star graphs , arXiv:1202.2890,  accepted for publication by J. Phys. A Math. Theor., 2012.

22. R.A., D. Noja, Stability and symmetry-breaking bifurcation for the ground states of a NLS with a δ-prime interaction, arXiv:1112.1318, accepted for publication by Comm. Math. Phys., 2012.


Preprints

R.A., C. Cacciapuoti, D. Finco, D. Noja, Stationary states of NLS on star graphs,  arXiv:1104.3839,2011, submitted to international journal with referee, 2011.