NSF Org:	DMS Division Of Mathematical Sciences
Recipient:	REGENTS OF THE UNIVERSITY OF MICHIGAN
Initial Amendment Date:	June 5, 1992
Latest Amendment Date:	June 5, 1992
Award Number:	9201934
Award Instrument:	Standard Grant
Program Manager:	Deborah Lockhart DMS  Division Of Mathematical Sciences MPS  Directorate for Mathematical and Physical Sciences
Start Date:	June 1, 1992
End Date:	May 31, 1993 (Estimated)
Total Intended Award Amount:	$12,250.00
Total Awarded Amount to Date:	$12,250.00
Funds Obligated to Date:	FY 1992 = $12,250.00
History of Investigator:	Mary Beth Ruskai (Principal Investigator) MaryBeth.Ruskai@tufts.edu
Recipient Sponsored Research Office:	Regents of the University of Michigan - Ann Arbor 1109 GEDDES AVE STE 3300 ANN ARBOR MI  US  48109-1015 (734)763-6438
Sponsor Congressional District:	06
Primary Place of Performance:	DATA NOT AVAILABLE
Primary Place of Performance Congressional District:
Unique Entity Identifier (UEI):	GNJ7BBP73WE9
Parent UEI:
NSF Program(s):	INFRASTRUCTURE PROGRAM
Primary Program Source:
Program Reference Code(s):
Program Element Code(s):	126000
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.049

ABSTRACT

During the past two decades there has been considerable progress in the understanding of the nature of matter through the rigorous mathematical analysis of models which describe different states of matter. The more notable developments include (1) a thorough analysis of Thomas-Fermi and related semi-classical models for atomic and molecular systems, (2) analysis of the stability of matter, (3) verification of the correct asymptotes of the ground state of energy of atoms up to certain orders, (4) proof of the finiteness of the maximum excess charge of atomic and molecular systems, estimates on the maximum excess charge, and proofs of asymptotic neutrality, (5) proofs of the existence of the thermodynamic limit for Coulomb systems, (6) analysis of models in quantum and statistical mechanics, (7) analysis of such quantum phenomena as the quantum Hall effect and the formation of Cooper pairs, and (8) proof of the existence of the hydrodynamic limit of Boltzmann's equation for interacting particle systems. This project will support a block travel grant to the Conference on the State of Matter to be held in Copenhagen, Denmark from July 30 to August 1, 1992. The conference will provide an opportunity for newer mathematicians and scientists to learn about developments at the leading edge of this branch of mathematical physics.

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