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Condensed Matter Physics and Exactly Soluble Models - Selecta of Elliott H. Lieb (Hardcover, 2004 ed.)
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Condensed Matter Physics and Exactly Soluble Models - Selecta of Elliott H. Lieb (Hardcover, 2004 ed.)
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This is the third Selecta of publications of Elliott Lieb, the
first two being Stabil ity of Matter: From Atoms to Stars, edited
by Walter Thirring, and Inequalities, edited by Michael Loss and
Mary Beth Ruskai. A companion fourth Selecta on Statistical
Mechanics is also edited by us. Elliott Lieb has been a pioneer of
the discipline of mathematical physics as it is nowadays understood
and continues to lead several of its most active directions today.
For the first part of this selecta we have made a selection of
Lieb's works on Condensed Matter Physics. The impact of Lieb's work
in mathematical con densed matter physics is unrivaled. It is fair
to say that if one were to name a founding father of the field,
Elliott Lieb would be the only candidate to claim this singular
position. While in related fields, such as Statistical Mechanics
and Atomic Physics, many key problems are readily formulated in
unambiguous mathematical form, this is less so in Condensed Matter
Physics, where some say that rigor is "probably impossible and
certainly unnecessary." By carefully select ing the most important
questions and formulating them as well-defined mathemat ical
problems, and then solving a good number of them, Lieb has
demonstrated the quoted opinion to be erroneous on both counts.
What is true, however, is that many of these problems turn out to
be very hard. It is not unusual that they take a decade (even
several decades) to solve."
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