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

@article{Moser2018EnergyCO, title={Energy Contribution of a Point-Interacting Impurity in a Fermi Gas}, author={Thomas Moser and Robert Seiringer}, journal={Annales Henri Poincar{\'e}}, year={2018}, volume={20}, pages={1325-1365} }

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 change in energy compared to the system in the absence of the impurity is bounded in terms of the gas density and the scattering length of the interaction, independently of N. Our bound holds as long as the ratio of the mass of the impurity to the one of the gas particles is larger than a critical…

## 6 Citations

### Weak coupling limit for the ground state energy of the 2D Fermi polaron

- Physics
- 2020

We analyze the ground state energy for N fermions in a two-dimensional box interacting with an impurity particle via two-body point interactions. We allow for mass ratios M > 1.225 between the…

### High density limit of the Fermi polaron with infinite mass

- PhysicsLetters in Mathematical Physics
- 2019

We analyze the ground state energy for N identical fermions in a two-dimensional box of volume $$L^2$$L2 interacting with an external point scatterer. Since the point scatterer can be considered as…

### Spectral Theory of the Fermi Polaron

- PhysicsAnnales Henri Poincaré
- 2019

The Fermi polaron refers to a system of free fermions interacting with an impurity particle by means of two-body contact forces. Motivated by the physicists’ approach to this system, the present…

### A pr 2 01 9 Spectral Theory of the Fermi Polaron

- Physics
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The Fermi polaron refers to a system of free fermions interacting with an impurity particle by means of two-body contact forces. Motivated by the physicists’ approach to this system, the present…

### High density limit of the Fermi polaron with infinite mass

- Materials ScienceLetters in Mathematical Physics
- 2019

We analyze the ground state energy for N identical fermions in a two-dimensional box of volume L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}…

### Spectral Theory of the Fermi Polaron

- PhysicsAnnales Henri Poincaré
- 2019

The Fermi polaron refers to a system of free fermions interacting with an impurity particle by means of two-body contact forces. Motivated by the physicists’ approach to this system, the present…

## References

SHOWING 1-10 OF 39 REFERENCES

### Stability of the two-dimensional Fermi polaron

- Physics
- 2017

A system composed of an ideal gas of N fermions interacting with an impurity particle in two space dimensions is considered. The interaction between impurity and fermions is given in terms of…

### High density limit of the Fermi polaron with infinite mass

- PhysicsLetters in Mathematical Physics
- 2019

We analyze the ground state energy for N identical fermions in a two-dimensional box of volume $$L^2$$L2 interacting with an external point scatterer. Since the point scatterer can be considered as…

### Energy lower bound for the unitary N + 1 fermionic model

- Physics, Mathematics
- 2015

We consider the stability problem for a unitary N + 1 fermionic model, i.e., a system of N identical fermions interacting via zero-range interactions with a different particle, in the case of…

### Spectral Theory of the Fermi Polaron

- PhysicsAnnales Henri Poincaré
- 2019

### Spectral Properties of the 2+1 Fermionic Trimer with Contact Interactions

- Physics
- 2017

We qualify the main features of the spectrum of the Hamiltonian of point interaction for a three-dimensional quantum system consisting of three point-like particles, two identical fermions, plus a…

### On Point-Like Interaction between n Fermions and Another Particle

- Mathematics
- 2011

In this note the point-like interaction of n fermions with a particle of a different nature is considered in a framework of the theory of self-adjoint extensions of symmetric operators. It introduces…

### Stability for a System of N Fermions Plus a Different Particle with Zero-Range Interactions

- Physics
- 2012

We study the stability problem for a non-relativistic quantum system in dimension three composed by N ≥ 2 identical fermions, with unit mass, interacting with a different particle, with mass m, via a…

### Remarks on the Hamiltonian for the Fermionic Unitary Gas model

- Mathematics
- 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…

### A Class of Hamiltonians for a Three-Particle Fermionic System at Unitarity

- Physics, Mathematics
- 2015

We consider a quantum mechanical three-particle system made of two identical fermions of mass one and a different particle of mass m, where each fermion interacts via a zero-range force with the…