Publications of A. Teta
Articles:
1) Figari R., Orlandi E., Teta A.,
The Laplacian in regions with many small obstacles: fluctuations around the limit operator.
J. Statist. Phys., 41 (1985), no. 3-4, 465-487 (ISSN 0022-4715).
2) Figari R., Orlandi E., Teta A.,
A central limit theorem for the Laplacian in regions with many small holes.
Stochastic Processes - Mathematics and Physics II (Bielefeld, 1985), 75-86, Lecture Notes in Math.,
n. 1250, Springer, Berlin, 1987.
3) Figari R., Holden H., Teta A.,
A law of large numbers and a central limit theorem for the Schr\"{o}dinger operator with zero range potentials.
J. Statist. Phys., 51 (1988), no. 1-2, 205-214 (ISSN 0022-4715).
4) Teta A.,
Quadratic forms for singular perturbations of the Laplacian.
Publ. R.I.M.S. Kyoto, 26 (1990), no. 5, 803-817 (ISSN 0034-5318).
5) Scarlatti S., Teta A.,
Derivation of the time-dependent propagator for the three-dimensional Schr\"{o}dinger equation with one point interaction.
J. Phys. A, 23 (1990), no. 19, L1033-L1035 (ISSN 0305-4470).
6) Figari R., Teta A.,
Derivation of the optical potential in a model for low-energy neutron scattering.
Rigorous Results in Quantum Dynamics (Liblice, 1990), Dittrich J. and Exner P. eds., 147-151,
World Scientific, Singapore 1991.
7) Brasche J.F., Teta A.,
Spectral analysis and scattering theory for Schr\"{o}dinger operators with an interaction supported by a regular curve.
Ideas and Methods in Quantum and Statistical Physics (Oslo, 1988), Albeverio S., Fenstad J.F., Holden H. and Lindstrom T. eds., 197-211, Cambridge Univ. Press, Cambridge, 1992.
8) Figari R., Teta A.,
Effective potential and fluctuations for a boundary value problem on a randomly perforated domain.
Lett. Math. Phys., 26 (1992), no. 4, 295-305 (ISSN 0377-9017).
9) Figari R., Teta A.,
A boundary value problem of mixed type on perforated domains.
Asymptotic Anal., 6 (1993), no. 3, 271-284 (ISSN 0921-7134).
10) Dell'Antonio G.F., Figari R., Teta A.,
N-Particle systems with zero-range interactions.
Workshop on Point Interactions (Trieste, 1992), preprint ILAS/MS-8/1993, Trieste.
11) Figari R., Teta A.,
Homogenization of boundary value problems with finite scattering length per unit volume.
Workshop on Point Interactions, (Trieste, 1992), preprint ILAS/MS-8/1993, Trieste.
12) Angelescu N., Pulvirenti M., Teta A.,
Derivation and classical limit of the mean-field equation for a quantum coulomb system: Maxwell-Boltzmann statistics.
J. Statist. Phys., 74 (1994), no. 1-2, 147-165 (ISSN 0022-4715).
13) Dell'Antonio G.F., Figari R., Teta A.,
Hamiltonians for systems of N particles interacting through point interactions.
Ann. Inst. H. Poincare' Phys. Theor., 60 (1994), no. 3, 253-290 (ISSN 0246-0211).
14) Dell'Antonio G.F., Figari R., Teta A.,
N-Particle systems with zero-range interactions.
Stochastic Processes, Physics and Geometry II (Locarno, 1991),Albeverio S., Cattaneo U., Merlini D. eds., 189- 198,
World Scientific, Singapore 1995.
15) Dell'Antonio G.F., Figari R., Teta A.,
Time dependent point interactions.
Workshop on Singular Schr\"{o}dinger Operators, (Trieste, 1994), preprint ILAS/FM-16/1995, Trieste.
16) Dell'Antonio G.F., Figari R., Teta A.,
A limit evolution problem for time-dependent point interactions.
J. Funct. Anal., 142 (1996), no. 1, 249-275 (ISSN 0022-1236).
17) Dell'Antonio G.F., Figari R., Teta A.,
Statistics in space dimension two.
Lett. Math. Phys., 40 (1997), no. 3, 235-256 (ISSN 0377-9017).
18) Brasche J.F., Figari R., Teta A.,
Singular Schr\"{o}dinger operator as limits of point interaction Hamiltonians.
Potential Anal., 8 (1998), no. 2, 163-178 (ISSN 0926-2601).
19) Dell'Antonio G.F., Figari R., Teta A.,
Diffusion of a particle in presence of N moving point sources.
Ann. Inst. H. Poincare' Phys. Theor., 69 (1998), no. 4, 413-424 (ISSN 0246-0211).
20) Adami R., Teta A.,
On the Aharonov-Bohm Hamiltonian,
Lett. Math. Phys., 43 (1998), no. 1, 43-53 (ISSN 0377-9017).
21) Esposito R., Pulvirenti M., Teta A.,
The Boltzmann equation for a one-dimensional quantum Lorentz gas.
Comm. Math. Phys., 204 (1999), no. 3, 619-649.
Erratum, Comm. Math. Phys., 214 (2000), no. 2, 493-494 (ISSN 0010-3616).
22) Adami R., Teta A.,
A simple model of concentrated nonlinearity.
Mathematical Results in Quantum Mechanics (Prague, 1998), Dittrich J.,Exner P.,Tater M.eds., 183-189, Birkhauser,Basel,1999.
23) Dell'Antonio G.F., Figari R., Teta A.,
Schr\"{o}dinger equation with moving point interactions in Three Dimensions.
Stochastic Processes, Physics and Geometry: New Interplays, I (Leipzig, 1999), F. Gesztesy, H. Holden, J. Jost, S. Paycha, M. R\"{o}ckner, and S. Scarlatti eds., 99-113, CSM Conf. Proc., 28 Amer. Math. Soc., Providence, 2000.
24) Panati G., Teta A.,
The Flux-Across-Surfaces theorem for a point interaction Hamiltonian.
Stochastic Processes, Physics and Geometry: New Interplays, II (Leipzig, 1999), F. Gesztesy, H. Holden, J. Jost, S. Paycha, M. R\"{o}ckner, and S. Scarlatti eds., 547-557, CSM Conf. Proc., 29, Amer. Math. Soc., Providence, 2000.
25) Adami R., Teta A.,
A class of nonlinear Schr\"{o}dinger equations with concentrated nonlinearity.
J. Funct. Anal., 180 (2001), no. 1, 148-175 (ISSN 0022-1236).
26) Adami R., Dell'Antonio G., Figari R., Teta A.,
The Cauchy problem for the Schr\"{o}dinger equation in dimension three with concentrated nonlinearity.
Ann. Inst. H. Poincare' Non Lineaire, 20 (2003), no. 3, 477-500 (ISSN 0294-1449).
27) Dell'Antonio G., Figari R., Teta A.,
Decoherence and classical behaviour in Quantum Mechanics.
Determinism, Holism and Complexity (Arcidosso, 2001), C. Pellegrini, P. Cerrai, P.
Freguglia, V. Benci, G. Israel eds., Kluwer, 2003.
28) Adami R., Dell'Antonio G., Figari R., Teta A.,
Blow up solutions for the Schr\"odinger equation with a concentrated nonlinearity in dimension three.
Ann. Inst. H. Poincare' Non Lineaire, 21 (2004), no. 1, 121-137 (ISSN 0294-1449).
29) Duerr D., Figari R., Teta A.,
Decoherence in a two-particle model.
J. Math. Phys., 45 (2004), no. 4, 1291-1309 (ISSN 0022-2488).
30) Dell'Antonio G., Finco D., Teta A.,
Singularly perturbed Hamiltonians of a quantum Rayleigh gas defined as quadratic forms.
Potential Anal., 22, no. 3, (2005) 229-261.
31) Teta A.,
On a rigorous proof of the Joos-Zeh formula for decoherence in a two-body problem.
Multiscale methods in Quantum Mechanics (Roma 2002), P. Blanchard, G. Dell'Antonio eds., 197-205,
Birkhauser, Boston, 2004.
32) Adami R., Bardos C., Golse F., Teta A.,
Towards a rigorous derivation of the cubic NLSE in dimension one.
Asymptotic Anal., 40 (2004), no. 2, 93-108 (ISSN 0921-7134).
33) Carlone R., Figari R., Teta A.,
The Joos-Zeh formula and the environment-induced decoherence.
Perspectives in Statistical Mechanics, Quantum Field Theory and Stochastics (Siena, 2002),
Int. J. Mod. Phys. B, 18 (2004), no. 4-5, 667-674 (ISSN 0217-9792).
34) Adami R., Figari R., Finco D., Teta A.,
On the asymptotic behaviour of a quantum two-body system in the small mass ratio limit.
J. Physics A: Math Gen., 37 (2004) 7567-7580.
35) Figari R., Teta A.,
A one dimensional model for ionization induced by scattering with a heavy particle.
J. Phys. A: Math. Gen., 38 (2005) 4947-4955.
36) D'Ancona P., Pierfelice V., Teta A.,
Dispersive estimate for the Schr\"odinger equation with point interactions.
Mathematical Methods in the Applied Sciences, 29, no. 3, (2006) 309-323.
37) Adami R., Figari R., Finco D., Teta A.,
On the asymptotic dynamics of a quantum system composed by heavy and light particles.
Comm. Math. Phys., 268, no. 3 (2006) 819-852.
38) Adami R., Golse F., Teta A.,
Rigorous derivation of the cubic NLS in dimension one.
J. Stat. Phys., 127, no. 6 (2007) 1193-1220.
39) Finco D., Teta A.,
Scattering of a light particle by a system of harmonic oscillators.
Reports on Math. Phys, 59, no. 3 (2007) 379-388.
40) Dell'Antonio G., Figari R., Teta A.,
A brief review on point interactions.
Inverse problems and imaging (Martinafranca, 2002), L. Bonilla ed. 171-189, Springer LNM n.1843,2008.
41) Dell'Antonio G., Figari R., Teta A.,
Joint excitation probability for two harmonic oscillators in dimension one and the Mott problem.
J. Math. Phys., 49, n. 4 (2008) 042105.
42) Teta A.,
Classical behavior in quantum systems: the case of straight tracks in a cloud chamber.
Eur. J. Phys., 31 (2010) 215-227.
43) Dell'Antonio G., Figari R., Teta A.,
A time dependent perturbative analysis for a quantum particle in a cloud chamber.
Ann. H. Poincare, 11, no. 3 (2010) 539-564.
44) Finco D., Teta A.,
Asymptotic expansion for the wave function in a one-dimensional model of inelastic interaction.
J. Math Phys., 52, 022103 (2011).
45) Finco D., Teta A.,
Quadratic forms for the fermionic unitary gas model.
Rep. Math. Phys. 69, no. 2, (2012) 131-159.
46) Correggi M., Dell'Antonio G., Finco D., Michelangeli A., Teta A.,
Stability for a system of N fermions plus a different particle with zero-range interactions.
Reviews in Mathematical Physics 24, no. 5, (2012) 1250017.
47) Figari R., Teta A.,
Emergence of classical trajectories in quantum systems: the cloud chamber problem in the analysis of Mott (1929).
Archive for History of Exact Sciences, 67, no. 2, (2013) 215-234.
48) Teta A.,
A Simple Model for Decoherence.
In Direction of Time, S. Albeverio and Ph. Blanchard eds., Springer, 2014.
49) Recchia C., Teta A.,
Semiclassical wave-packets emerging from interaction with an environment,
J. Math. Phys. 55 (2014) 012104.
50) Cacciapuoti C., Finco D., Noja D., Teta A.,
The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit,
Lett. Math. Phys., 104 (2014) 1557-1570.
51) Dell’Antonio G., Figari R., Teta A.,
Classical-like trajectories of a quantum particle in a cloud chamber.
In The Message of Quantum Science - Attempts Towards a Synthesis, Ph. Blanchard and J. Fr ̈ohlich eds., Springer 2015.
52) Teta A.,
System of fermions with zero-range interactions.
In the Proceedings of the Conference QMATH 12, P. Exner, W. Konig, H. Neidhardt eds., World Scientific., 2015.
53) Correggi M., Finco D., Teta A.,
Energy lower bound for the unitary $N+1$ fermionic model.
Europhysics Lett., 111 (2015) 10003.
54) Correggi M., Dell'Antonio G., Finco D., Michelangeli A., Teta A.,
A Class of Hamiltonians for a Three-Particle Fermionic System at Unitarity.
Math. Phys. Anal. Geom. (2015) 18: 32. doi:10.1007/s11040-015-9195-4.
55) Figari R., Teta A.,
From quantum to classical world: emergence of trajectories in a quantum system.
Mathematics and Mechanics of Complex Systems 4, No 4-3 (2016), 235-254 DOI 10.2140/memocs.2016.4.235}.
56) Basti G., Teta A.,
On the quantum mechanical three-body problem with zero-range interactions,
in Functional Analysis and Operator Theory for Quantum Physics, p. 71-94, J. Dittrich, H. Kovarik, A. Laptev eds., EMS Publishing House, 2017. ISBN print 978-3-03719-175-0, ISBN online 978-3-03719-675-5 DOI 10.4171/175.
57) Cacciapuoti C., Finco D., Noja D., Teta A.,
The point-like limit for a NLS equation with concentrated nonlinearity in dimension three.
J. Funct. Anal. 273 (2017) 1762-1809.
58) Basti G., Teta A.,
Efimov effect for a three-particle system with two identical fermions.
Annales Henri Poincare', 18, 3975-4003, 2017.
59) Basti G., Cenatiempo S., Teta A.,
Universal low-energy behavior in a quantum Lorentz gas with Gross-Pitaevskii potentials.
Math. Phys. Anal. Geom. (2018) 21:11.
60) Basti G., Cacciapuoti C., Finco D., Teta A.,
The three-body problem in dimension one: From short-range to contact interactions.
Jour. Math. Phys. 59, 072104 (2018)
61) Basti G., Figari R., Teta A.,
Regularized quadratic forms for a three boson system with zero-range interactions.
Rend. Mat. Appl. (7) vol. 39 (2018), 205 - 216.
62) Carlone R., Correggi M., Finco D., Teta A.,
A quantum model of Feshbach resonances.
Ann. Henri Poincare 20, 2899-2935, 2019.
63) Figari R., Teta A.,
Zero-range hamiltonians for three quantum particles.
In: Proceedings of the XI international conference Stochastic and Analytic Methods in Mathematical Physics. Lectures in Pure and Applied Mathematics, vol. 6, p. 175-184, Potsdam:Potsdam University Press, 2020. %ISBN: 978-3-86956-485-2, ISSN: 2199-4951, Yerevan, Armenia.
64) Basti G., Cacciapuoti C., Finco D., Teta A.,
Three-body Hamiltonian with regularized zero-range interactions in dimension three.
Ann. Henri Poincar\`e}, vol. 24, 223-276, 2023.
65) Figari R., Teta A.,
On the Hamiltonian for three bosons with point interactions.
In: Quantum and Stochastic Mathematical Physics. Sergio Albeverio, Adventures of a Mathematician. Hilbert A., Mastrogiacomo E., Mazzucchi S., Rudiger B., Ugolini S. eds., Springer Proceedings in Mathematics & Statistics, vol. 377, p. 141-159, Springer, 2023.
66) Ferretti D., Teta A.,
Zero-Range Hamiltonian for a Bose Gas with an Impurity.
Complex Anal. Oper. Theory 17, 55, 2023.
Books:
Figari R., Teta A.,
Quantum Dynamics of a Particle in a Tracking Chamber,
Springer- Briefs in Physics, Springer Berlin Heidelberg, 2014.
Teta A.,
A Mathematical Primer in Quantum Mechanics,
Springer, 2018.
Editor of conference proceedings:
Albeverio S., Figari R., Orlandi E., Teta A. eds.,
Advances in Dynamical Systems and Quantum Physics (Capri, 1993),
World Scientific, Singapore, 1995.