Hamiltonians for systems of N particles interacting through point interactions
- G. Dell'Antonio, R. Figari, A. Teta
- Mathematics
- 1994
En utilisant des techniques de renormalisation de formes quadratiques singulieres, on etudie des Hamiltoniens pour systemes de N particules avec interactions de portee nulle, en dimension deux. Si on…
Rigorous Derivation of the Cubic NLS in Dimension One
We derive rigorously the one-dimensional cubic nonlinear Schrödinger equation from a many-body quantum dynamics. The interaction potential is rescaled through a weak-coupling limit together with a…
On the Aharonov–Bohm Hamiltonian
Using the theory of self-adjoint extensions, we construct all the possible Hamiltonians describing the nonrelativistic Aharonov–Bohm effect. In general, the resulting Hamiltonians are not…
Stability for a System of N Fermions Plus a Different Particle with Zero-Range Interactions
- M. Correggi, G. Dell'Antonio, D. Finco, A. Michelangeli, A. Teta
- Physics
- 27 January 2012
We study the stability problem for a non-relativistic quantum system in dimension three composed by N ≥ 2 identical fermions, with unit mass, interacting with a different particle, with mass m, via a…
Quadratic forms for singular perturbations of the Laplacian
- A. Teta
- Mathematics
- 1 December 1990
Singular perturbations of -Δ in L 2 (R 3 ) supported by points, regular curves an regular surfaces are considered. Using a renormalization technique the corresponding quadratic forms are constructed…
The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity
- R. Adami, G. Dell'Antonio, R. Figari, A. Teta
- Mathematics
- 1 May 2003
Towards a rigorous derivation of the cubic NLSE in dimension one
We consider a system of N particles in dimension one, interacting through a zero-range repulsive potential whose strength is proportional to N −1 . We construct the finite and the infinite…
Dispersive estimate for the Schrödinger equation with point interactions
- P. D’Ancona, V. Pierfelice, A. Teta
- Mathematics
- 29 September 2005
We consider the Schrödinger operator in ℝ3 with N point interactions placed at Y=(y1,…,yN), yj ∈ ℝ3, of strength α=(α1,…,αN), αj ∈ ℝ. Exploiting the spectral theorem and the rather explicit…
Advances in Dynamical Systems and Quantum Physics: Proceedings of the Conference on the Occasion of the 60th birthday of Gianfausto Dell’Antonio
- S. Albeverio, R. Figari, E. Orlandi, A. Teta
- Physics
- 1 February 1995
Singular perturbation of the Laplacian and connections with models of random media
- A. Teta
- Mathematics
- 30 October 1989
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