# Ground State Properties in the Quasi-Classical Regime

@article{Correggi2020GroundSP, title={Ground State Properties in the Quasi-Classical Regime}, author={Michele Correggi and Marco Falconi and Marco Olivieri}, journal={arXiv: Mathematical Physics}, year={2020} }

We study the ground state energy and ground states of systems coupling non-relativistic quantum particles and force-carrying Bose fields, such as radiation, in the quasi-classical approximation. The latter is very useful whenever the force-carrying field has a very large number of excitations,and thus behaves in a semiclassical way, while the non-relativistic particles, on the other hand, retain their microscopic features. We prove that the ground state energy of the fully microscopic model…

## 7 Citations

### Quasi-classical Ground States. II. Standard Model of Non-relativistic QED

- Physics
- 2022

. We consider a non-relativistic electron bound by an external potential and coupled to the quantized electromagnetic ﬁeld in the standard model of non-relativistic QED. We compute the energy…

### Quasi-classical Ground States. I. Linearly Coupled Pauli-Fierz Hamiltonians

- Physics
- 2022

. We consider a spinless, non-relativistic particle bound by an external potential and linearly coupled to a quantized radiation ﬁeld. The energy E ( u, f ) of product states of the form u ⊗ Ψ f ,…

### Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model

- MathematicsReviews in Mathematical Physics
- 2022

We study the time evolution of the Nelson model in a mean-field limit in which N nonrelativistic bosons weakly couple (w.r.t. the particle number) to a positive or zero mass quantized scalar field.…

### Towards a derivation of Classical ElectroDynamics of charges and fields from QED

- Physics
- 2022

. The purpose of this article is twofold: • On one hand, we rigorously derive the Newton–Maxwell equation in the Coulomb gauge from ﬁrst principles of quantum electrodynamics in agreement with the…

### Derivation of the Maxwell-Schr\"odinger Equations: A note on the infrared sector of the radiation field

- Physics, Mathematics
- 2022

We slightly extend prior results about the derivation of the Maxwell-Schrödinger equations from the bosonic Pauli-Fierz Hamiltonian. More concretely, we show that the ﬁndings from [25] about the…

### Quasi-Classical Spin-Boson Models

- Physics
- 2022

. In this short note we study Spin-Boson Models from the Quasi-Classical stand-point. In the Quasi-Classical limit, the ﬁeld becomes macroscopic while the particles it interacts with, they remain…

### The Casimir-Polder effect for an approximate Pauli-Fierz model: the atom plus wall case

- Physics
- 2022

We study a system composed of a hydrogen atom interacting with an inﬁnite conductor wall. The interaction energy decays like L ´ 3 , where L is the distance between the atom and the wall, due to the…

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