The Coulomb Gas at low temperature and low density |
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| Authors: | Joseph G Conlon Elliott H Lieb Horng-Tzer Yau |
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| Institution: | (1) Department of Mathematics, University of Missouri, 65211 Columbia, MO, USA;(2) Departments of Mathematics and Physics, Princeton University, P.O.B. 708, 08544 Princeton, NJ, USA;(3) Courant Institute, New York University, 251 Mercer Street, 10012 New York, NY, USA |
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| Abstract: | We study the quantum Coulomb Gas ofN particles with HamiltonianH at low temperature and negative values of the chemical potential . If is sufficiently negative the Coulomb gas is approximately a perfect rare gas of charged particles, as expected. The interesting fact is that for higher (but still negative) values of the gas changes to a rare gas of some atom or molecule (which is most likely neutral). The type of molecule is determined by the ground state of the HamiltonianH —N with center of mass motion removed.Dedicated to Roland DobrushinWork partially supported by U.S. National Science Foundation grant DMS 8600748 (J.C.), PHY 85-15288-(A03) (E.L.) and DMS-8601978 and DMS-8806731 (H.-T.Y.) |
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