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UID:20250718T005836EDT-72331vdUMR@132.216.98.100
DTSTAMP:20250718T045836Z
DESCRIPTION:Quantum many-body systems with point interactions\n\nWe investi
 gate the stability of quantum many-body systems with point interactions. I
 n particular\, we present a proof that a system of N fermions interacting 
 with an additional particle via point interactions is stable if the ratio 
 of the mass of the additional particle to the one of the fermions is large
 r than some critical value. For this impurity problem\, we also show that 
 the ground state energy of the system at given non-zero mean density diffe
 rs from the one of the ideal gas by a term depending only on the density a
 nd the scattering length of the interactions\, independently of N. While t
 he general problem with more than one impurity remains open\, we can show 
 stability for the simplest such system\, the one consisting of two fermion
 s interacting with two (fermionic) impurities.\n	\n	(Joint work with T. Mose
 r)\n
DTSTART:20180913T200000Z
DTEND:20180913T210000Z
LOCATION:Room 6254\, CA\, Pav. André-Aisenstadt
SUMMARY:Robert Seiringer\, IST Austria
URL:/mathstat/channels/event/robert-seiringer-ist-aust
 ria-289371
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