Università degli Studi Roma Tre

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2010-11/
Seminari A.A. 2010-2011
 
 
I Seminari si svolgono il martedì alle 14:30 nell'aula 311 del Dipartimento di Matematica (salvo diversa indicazione)
 
 
Relatore
Titolo
Data
 
 
 
Francesco Cellarosi
Princeton University
19 Luglio 2011
 
 
 
Karol Kozlowski
DESY
30 Giugno 2011
(giovedì)
 
 
Abstract
ritorna
Quantum integrable models in one dimension constitute a class of non-trivial many-body quantum Hamiltonians where a great number of calculations is feasible to the very end, this without any approximations. It has been shown over the years that it is possible to give a precise description of the spectrum of these model. Recently, there appeared various techniques allowing one to provide representations for the correlation functions in terms of series of multiple integrals or large-size determinants. Such exact representations can be seen as a first step towards the computation, starting from the first principles, of the long-distance (and long-time) asymptotic behavior of two-point functions. Exact results in this direction allow one to provide, in the case of integrable models, a strong confirmation of the various approximation methods (CFT, Luttinger liquid, non-linear Luttinger liquid) used to study certain limiting regimes in one dimensional gapless quantum Hamiltonians. In this talk, I will overview the recent developments in respect to the computation of the large-distance and long-time asymptotic behavior of the two-point functions in the non-linear Schrödinger model at any value of the coupling constant. I will also briefly discuss the progress in the computation, starting from the first principles, of the edge exponents characterizing the power-law behavior of the density structure factor and the spectral functions near the edges of the particle or hole excitation tresholds. After discussing the spectrum of this model, I will describe the type of representations existing for the correlation functions. In particular, I will discuss the large volume behavior of form factors of local operators and show how such informations can be used to extract their large-distance and long-time asymptotic behavior on the one hand and the edge exponents and their associated amplitudes on the other. Part of these results stem from a joint work with Kitanine, Maillet, Slavnov and Terras.
 
 
 
Elena Pulvirenti
Università di
Roma Tre
26 Giugno 2011
(giovedì aula 211)
 
 
 
Antonio Di Carlo
Università di
Roma Tre
12 Aprile 2011
 
 
 
Yuri Kondratiev
Universität Bielefeld
Kawasaki type dynamics for IPS in continuum
01 Marzo 2011
 
 
 
Michela Procesi
Università di Napoli
"Federico II"
22 Febbraio 2011
 
 
 
Ioannis Anapolitanos
Toronto University
11 Febbraio 2011
(venerdì)
 
 
 
Kevin Schnelli
ETH Zurich
08 Febbraio 2011
 
 
 
Daniel Egli
ETH Zurich
01 Febbraio 2011
 
 
 
Michele Correggi
CIRM
Università di Trento
18 Gennaio 2011
 
 
 
Enrico Valdinoci
Università di Roma "Tor Vergata"
09 Novembre 2010
 
 
 
Serena Cenatiempo
Università di Roma "La Sapienza"
02 Novembre 2010
 
 
 
Livia Corsi
Università di
Roma Tre
27 Ottobre 2010
(mercoledì ore 16.00)
 
 
 
Eva Löcherbach
Université de
Cergy-Pointoise
05 Ottobre 2010
(ore 15.00)