# Stability of Matter

@inproceedings{Loss2005StabilityOM, title={Stability of Matter}, author={Michael Loss}, year={2005} }

We review results concerning the problem of ‘Stability of Matter’. Non-relativistic, relativistic quantum mechanics as well as matter interacting with classical fields is discussed and the strategies of the various proofs of these results is given in some detail. This is followed by a short discussion of the corresponding problem of matter interacting with the radiation field.

## 189 Citations

### Book review: Stability of Matter in Quantum Mechanics, by Elliott H. Lieb and Robert Seiringer

- Physics
- 2011

Review of Stability of Matter in Quantum Mechanics, by Elliott H. Lieb and Robert Seiringer, Cambridge University Press, Cambridge, 2010, xv+293 pp, ISBN 978-0-521-19118-0.

### The Stability of Matter in Quantum Mechanics

- Physics
- 2009

Preface 1. Prologue 2. Introduction to elementary quantum mechanics and stability of the first kind 3. Many-particle systems and stability of the second kind 4. Lieb-Thirring and related inequalities…

### Existence of the thermodynamic limit for disordered quantum Coulomb systems

- Physics
- 2012

Following a recent method introduced by Hainzl, Solovej, and Lewin, we prove the existence of the thermodynamic limit for a system made of quantum electrons, and classical nuclei whose positions and…

### The Scott conjecture for large Coulomb systems: a review

- PhysicsLetters in Mathematical Physics
- 2023

We review some older and more recent results concerning the energy and particle distribution in ground states of heavy Coulomb systems. The reviewed results are asymptotic in nature: they describe…

### THE THERMODYNAMIC LIMIT OF QUANTUM COULOMB SYSTEMS: A NEW APPROACH

- Physics
- 2008

We present two recent works on the thermodynamic limit of quantum Coulomb systems, in which we provided a general method allowing to show the existence of the limit for many different models.

### Lieb-Thirring Inequality for a Model of Particles with Point Interactions

- Physics
- 2012

We consider a model of quantum-mechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a Lieb-Thirring inequality for the energy, i.e.,…

### The Energy of Charged Matter

- Physics
- 2004

In this talk I will discuss some of the techniques that have been developed over the past 35 years to estimate the energy of charged matter. These techniques have been used to solve stability of…

### Differential equations of quantum mechanics

- Physics, MathematicsQuarterly of Applied Mathematics
- 2022

We review very briefly the main mathematical structures and results in some important areas of Quantum Mechanics involving PDEs and formulate open problems.

### The Thermodynamic Limit for Matter Interacting with Coulomb Forces and with the Quantized Electromagnetic Field: I. The Lower Bound

- Physics
- 2005

The proof of the existence of the thermodynamic limit for electrons and nuclei interacting via the Coulomb potential, was accomplished decades ago in the framework of non-relativistic quantum…

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