We briefly summarize the most relevant steps in the search of rigorous results about the properties of quantum systems made of three bosons interacting with zero-range forces. We also describe recent attempts to solve the unbounded- ness problem of point-interaction Hamiltonians for a three-boson system, keeping unaltered the spectrum structure at low energies.

On the Hamiltonian for three bosons with point interactions / Figari, Rodolfo; Teta, Alessandro. - (2023), pp. 127-145. - SPRINGER PROCEEDINGS IN MATHEMATICS & STATISTICS. [10.1007/978-3-031-14031-0_6].

On the Hamiltonian for three bosons with point interactions

Rodolfo Figari;Alessandro Teta
2023

Abstract

We briefly summarize the most relevant steps in the search of rigorous results about the properties of quantum systems made of three bosons interacting with zero-range forces. We also describe recent attempts to solve the unbounded- ness problem of point-interaction Hamiltonians for a three-boson system, keeping unaltered the spectrum structure at low energies.
2023
Quantum and stochastic mathematical physics. Sergio Albeverio, adventures of a mathematician
978-3-031-14030-3
Three-body problem; Schroedinger equation; zero-range interactions
02 Pubblicazione su volume::02a Capitolo o Articolo
On the Hamiltonian for three bosons with point interactions / Figari, Rodolfo; Teta, Alessandro. - (2023), pp. 127-145. - SPRINGER PROCEEDINGS IN MATHEMATICS & STATISTICS. [10.1007/978-3-031-14031-0_6].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1677405
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