On the Hamiltonian for three bosons with point interactions

• URL: http://arxiv.org/abs/2001.10462v1
• Date: Tue, 28 Jan 2020 16:52:04 GMT
• Title: On the Hamiltonian for three bosons with point interactions
• Authors: Rodolfo Figari, Alessandro Teta
• Abstract summary: 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 unboundedness problem of point-interaction Hamiltonians for a three-boson system, keeping the spectrum structure at low energies.
• Score: 77.34726150561087
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 unboundedness problem of point-interaction Hamiltonians for a three-boson system, keeping unaltered the spectrum structure at low energies.

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