The Stability of Matter: From Atoms to Stars: Selecta of Elliott H. Lieb

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Springer Science & Business Media, Oct 5, 2001 - Science - 812 pages
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The second edition of this "selecta" of my work on the stability of matter was sold out and this presented an opportunity to add some newer work on the quantum mechanical many-body problem. In order to do so, and still keep the volume within manageable limits, it was necessary to delete a few papers that appeared in the previous editions. This was done without sacrificing content, however, since the material contained in the deleted papers still appears, in abbreviated form, at least, in other papers reprinted here. Seetions VII and VIII are new. The former is on quantum electrodynamics (QED), to which I was led by consideration of stability of the non-relativistic many-body Coulomb problem, as contained in the first and second editions. In particular, the fragility of stability of matter with c1assical magnetic fields, which requires abound on the fine-structure constant even in the non-relativistic case (item V.4), leads to the question of stability in a theory with quantized fields. There are many unresolved problems of QED if one attempts to develop a non perturbative theory - as everyone knows. A non-perturbative theory is essential, however, if one is going to understand the stability of the many-body problem, which is the stability of ordinary matter. Some physicists will say that a non perturbative QED does not exist - and this might be true in the absence of cutoffs - but an effective theory with cutoffs of a few Mev must exist since matter exists.
 

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Contents

III
11
IV
61
V
63
VI
65
VII
79
VIII
83
IX
87
X
91
XXXI
383
XXXII
399
XXXIII
401
XXXIV
405
XXXV
425
XXXVI
437
XXXVII
443
XXXVIII
471

XI
103
XII
113
XIII
121
XIV
127
XV
147
XVI
171
XVII
191
XVIII
193
XIX
205
XX
241
XXI
245
XXII
257
XXIII
261
XXIV
263
XXV
303
XXVI
313
XXVII
317
XXVIII
329
XXIX
357
XXX
371
XXXIX
485
XL
523
XLI
535
XLII
559
XLIII
561
XLIV
579
XLV
583
XLVI
605
XLVII
607
XLVIII
625
XLIX
637
L
677
LI
681
LII
685
LIII
699
LIV
721
LV
725
LVI
757
LVII
797
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About the author (2001)

Walter Thirring, Ph.D., is a distinguished mathematical physicist and inventor of the soluble model of a quantum field that bears his name. He received his Ph.D. from the University of Vienna in 1949, and he has been professor of physics there since 1959. He has been head of the theory division at CERN, and director of the Erwin Schrodinger Institute in Vienna. The recipient of numerous awards, he is a member of many academies, including twenty years with the Pontifical Academy of Sciences and eighteen years with the National Academy of Sciences in Washington, D.C. He lives in Vienna, Austria.

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