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20062026
most citedStability for a System of N Fermions Plus a Different Particle with Zero-Range Interactions

47 citations · 426 across the 46 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.FA2022

On a comparison between absolute and relative self-adjoint extension schemes

Noè Angelo Caruso, Alessandro Michelangeli, Andrea Ottolini

The problem of connecting the operator parameters that label the same self-adjoint extension of a given symmetric operator, respectively, within the 'absolute' von Neumann extensio…

math-ph2022★ 6 cited

On the characterisation of fragmented Bose-Einstein condensation and its emergent effective evolution

Jinyeop Lee, Alessandro Michelangeli

Fragmented Bose-Einstein condensates are large systems of identical bosons displaying \emph{multiple} macroscopic occupations of one-body states, in a suitable sense. The quest for…

math.AP2022

Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes

N. Dugandžija, A. Michelangeli, I. Vojnović

For a semi-linear Schrödinger equation of Hartree type in three spatial dimensions, various approximations of singular, point-like perturbations are considered, in the form of pote…

math.AP2022★ 1 cited

Standing waves and global well-posedness for the 2d Hartree equation with a point interaction

Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone

We study a class of two-dimensional non-linear Schrödinger equations with point-like singular perturbation and Hartree non-linearity. The point-like singular perturbation of the fr…

math-ph2022★ 15 cited

Self-adjoint extension schemes and modern applications to quantum Hamiltonians

Matteo Gallone, Alessandro Michelangeli

This monograph contains revised and enlarged materials from previous lecture notes of undergraduate and graduate courses and seminars delivered by both authors over the last years…