# Remarks on the Hamiltonian for the Fermionic Unitary Gas model

@article{Finco2010RemarksOT, title={Remarks on the Hamiltonian for the Fermionic Unitary Gas model}, author={Domenico Finco and Alessandro Teta}, journal={arXiv: Mathematical Physics}, year={2010} }

We consider a quantum system in dimension three composed by a group of $N$ identical fermions, with mass 1/2, interacting via zero-range interaction with a group of $M$ identical fermions of a different type, with mass $m/2$. Exploiting a renormalization procedure, we construct the corresponding quadratic (or energy) form and define the so-called Ter-Martirosyan-Skornyakov extension $H_{\alpha}$, which is the natural candidate as a possible Hamiltonian of the system. In the particular case M=1…

## 3 Citations

### Energy Contribution of a Point-Interacting Impurity in a Fermi Gas

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We give a bound on the ground-state energy of a system of N non-interacting fermions in a three-dimensional cubic box interacting with an impurity particle via point interactions. We show that the…

### Stability of the 2 + 2 Fermionic System with Point Interactions

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