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Non-relativistic limit of Dirac Hamiltonians with Aharonov-Bohm fields
Matteo Gallone, Alessandro Michelangeli, Diego Noja
We characterise the families of self-adjoint Dirac and Schrödinger operators with Aharonov-Bohm magnetic field, and we exploit the non-relativistic limit of infinite light speed to…
Mean-field dynamics for mixture condensates via Fock space methods
Gustavo de Oliveira, Alessandro Michelangeli
We consider a mean-field model to describe the dynamics of bosons of species one and bosons of species two in the limit as and go to infinity. We embed this…
Hydrogenoid spectra with central perturbations
Matteo Gallone, Alessandro Michelangeli
Through the Kre\uın-Višik-Birman extension scheme, unlike the classical analysis based on von Neumann's theory, we reproduce the construction and classification of all self-adjoint…
Ground state energy of mixture of Bose gases
Alessandro Michelangeli, Phan Thành Nam, Alessandro Olgiati
We consider the asymptotic behavior of a system of multi-component trapped bosons, when the total particle number becomes large. In the dilute regime, when the interaction pote…
Effective non-linear spinor dynamics in a spin-1 Bose-Einstein condensate
Alessandro Michelangeli, Alessandro Olgiati
We derive from first principles the experimentally observed effective dynamics of a spinor Bose gas initially prepared as a Bose-Einstein condensate and then left free to expand ba…
Multiplicity of self-adjoint realisations of the (2+1)-fermionic model of Ter-Martirosyan-- Skornyakov type
Alessandro Michelangeli, Andrea Ottolini
We 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…