Seminari di Fisica Matematica
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| Seminari A.A. 2014-2015 |
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Relatore |
Titolo |
Data |
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Elliott Lieb
Princeton University |
16 Giugno 2015 |
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Michele Bartuccelli
University of Surrey |
28 Maggio 2015 (giovedì) |
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Margherita Disertori
HCM Bonn |
24 Marzo 2015 |
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Alberto Enciso
ICMAT Madrid |
17 Febbraio 2015 |
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Pavel Winternitz
Université de Montreal |
20 Gennaio 2015 |
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Livia Corsi
McMaster University Hamilton, CA |
22 Dicembre 2014 (lunedì) |
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Edoardo Mainini
Università di Genova |
16 Dicembre 2014 |
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Peter Pickl
LMU Munich |
09 Dicembre 2014 |
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Clément Hongler
Ecole Polytechnique Fédérale de Lausanne |
25 Novembre 2014 |
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Giovanni Jona-Lasinio
Università di Roma "La Sapienza" |
18 Novembre 2014 |
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Nicolas Rougerie
Université Grenoble 1 & CNRS |
11 Novembre 2014 |
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Martin Lohmann
ETH Zürich |
06 Novembre 2014 (giovedì) |
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Matthias Engelmann
Aarhus University |
05 Novembre 2014 (mercoledì) |
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Abstract ritorna |
In the theory of N-body Schrödinger operators the concept of
dilation analyticity introduced by Aguilar and Combes and Balslev and Combes
had tremendous success in studying the essential spectrum of such operators.
The key idea in these two papers is that the unitary group of dilations can be
used to transform the Schrödinger operator into a one parameter family of
operators which admits an analytic continuation into a strip in the complex plane.
The virtue of this continuation is that its essential recedes from the real line
making a more detailed analysis possible. An application of this concept to time
dependent perturbation theory inquantum mechanics was later derived by Simon.
The generator of the group of dilations turns out to be a conjugate operator for
the Schrödinger operator under examination. This leads us to the question,
whether the techniques developed by Balslev and Combes can be done in an abstract
framework starting from Mourre theory. In this talk an affirmative answer is
provided in a systematic fashion by replacing the group of dilations with the
unitary group generated by an abstract conjugate operator. Key ingredients are
the use of the Mourre estimate and known results on abstract spectral deformation
techniques by Hunziker and Sigal. |
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Davide Pastorello
Università di Trento |
30 Ottobre 2014 (giovedì ore 11:00) |
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Joel Lebowitz
Rutgers University |
Central limit theorems and Lee-Yang zeroes |
28 Ottobre 2014 (ore 13:30) |
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Nicolas Dupuis
Université Pierre et Marie Curie & CNRS Paris |
21 Ottobre 2014 |
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Niels Benedikter
Universität Zürich |
14 Ottobre 2014 |
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