00961nas a2200157   4500008004100000022001400041245007700055210007100132260000800203300001400211490000600225520047300231100002900704700002400733856004600757       2017                        eng d  a1664-235X00aMean-field quantum dynamics for a mixture of Bose–Einstein condensates0 aMeanfield quantum dynamics for a mixture of Bose–Einstein conden  cDec  a377–4160 v73 a<p>We study the effective time evolution of a large quantum system consisting of a mixture of different species of identical bosons in interaction. If the system is initially prepared so as to exhibit condensation in each component, we prove that condensation persists at later times and we show quantitatively that the many-body Schrödinger dynamics is effectively described by a system of coupled cubic non-linear Schrödinger equations, one for each component.</p>1 aMichelangeli, Alessandro1 aOlgiati, Alessandro  uhttps://doi.org/10.1007/s13324-016-0147-301319nas a2200109   4500008004100000245011100041210006900152520088700221100002901108700002101137856005101158       2016                        en  d00aMultiplicity of self-adjoint realisations of the (2+1)-fermionic model of Ter-Martirosyan--Skornyakov type0 aMultiplicity of selfadjoint realisations of the 21fermionic mode3 aWe reconstruct the whole family of self-adjoint Hamiltonians of Ter-Martirosyan-
Skornyakov type for a system of two identical fermions coupled with a third particle
of different nature through an interaction of zero range. We proceed through an
operator-theoretic approach based on the self-adjoint extension theory of Kreĭn,
Višiik, and Birman. We identify the explicit `Kreĭn-Višik-Birman extension param-
eter' as an operator on the `space of charges' for this model (the `Kreĭn space') and
we come to formulate a sharp conjecture on the dimensionality of its kernel. Based
on our conjecture, for which we also discuss an amount of evidence, we explain the
emergence of a multiplicity of extensions in a suitable regime of masses and we re-
produce for the first time the previous partial constructions obtained by means of
an alternative quadratic form approach.1 aMichelangeli, Alessandro1 aOttolini, Andrea  uhttp://urania.sissa.it/xmlui/handle/1963/35267