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From: Kevin Payne <Kevin.Payne@mat.unimi.it>
Subject: [seminari] 10 giugno 2002, Elliott H. LIEB (Lezioni LEONARDESCHE)
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Lezioni LEONARDESCHE

Luned=EC, 10 giugno 2002, ore 16.30, in Aula Chisini, via Saldini 50,

il Professore
Elliott H. LIEB
Princeton University
parler=E0 su

QUANTUM MECHANICS AND THE STABILITY OF MATTER

Abstract:
Ordinary matter is held together with electromagnetic forces, =
and=20
the dynamical laws governing the constituents (electrons and nuclei)=
are=20
those of quantum mechanics. These laws, found in the beginning of=
=20
this century, were able to account for the fact that electrons do not=
=20
fall into the nuclei and thus atoms are quite robust. It was only=20
in 1967 that Dyson and Lenard were able to show that matter in bul=
k=20
was also stable and that two stones had a volume twice that of o=
ne=20
stone. Simple as this may sound, the conclusion is not at all obvio=
us=20
and hangs by a thread-- namely Pauli's "exclusion principle" (which=20=

requires that for N electrons one must consideronly the=20
N-fold antisymmetric product of L^2(R^3) instead of the full=20
product). In the ensuing 3 decades much was accomplished to=20
clarify,simplify and extend this result. We now understand that=20=

matter can, indeed, be unstable when relativistic effects and magnetic
fields are taken into account -- unless the electron's charge =
is=20
small enough (which it is, fortunately). These delicate and=20
non-intuitive conclusions will be summarized. The requisite mathematic=
al=20
apparatus needed for these results is itself interesting. Finally, =
we=20
can now hope to begin an analysis of the half-century old question abou=
t=20
the ultimate theory of ordinary matter, called quantum electrodynamics=20=

(QED). This is an experimentally successful theory, but one without =
a=20
decent mathematical foundation. Some recent, preliminary steps in=20=

resolving the infinities of QED will be presented.


T=E8: ore 16.00, Sala Rappresentanza
_______________________________________________________________________=
_____

In collaborazione con il : SEMINARIO MATEMATICO E FISICO DI MILANO

Per ulteriore informazioni: http://www.mat.unimi.it/~ruf/leonardo-2001.=
html

K. Payne e B. Ruf
Dipartimento di Matematica "F. Enriques"
Universita=92 degli Studi di Milano
Tel. 02-5031 6186 ; e-mail payne@mat.unimi.it

C. Pagani
Dipartimento di Matematica =93F. Brioschi=94
Politecnico di Milano
Tel. 02-2399 4517; e-mail carpag@mate.polimi.it

L. Di Martino
Dipartimento di Matematica Applicata
Universita=92 di Milano Bicocca
Tel. 02-6448 7723; e-mail dimartino@matapp.unimib.it










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