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

@article{Solovej2011BookRS, title={Book review: Stability of Matter in Quantum Mechanics, by Elliott H. Lieb and Robert Seiringer}, author={Jan Philip Solovej}, journal={arXiv: Mathematical Physics}, year={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.

## References

SHOWING 1-10 OF 19 REFERENCES

### Stability of Matter

- Physics
- 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…

### The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics

- Physics
- 1987

Starting with a “relativistic” Schrödinger Hamiltonian for neutral gravitating particles, we prove that as the particle numberN→∞ and the gravitation constantG→0 we obtain the well known…

### Quantum mathematical physics : atoms, molecules and large systems

- Physics
- 2002

I Quantum Mechanics of Atoms and Molecules.- 1 Introduction.- 2 The Mathematical Formulation of Quantum Mechanics.- 3 Quantum Dynamics.- 4 Atomic Systems.- II Quantum Mechanics of Large Systems.- 1…

### The stability and instability of relativistic matter

- Physics
- 1988

We consider the quantum mechanical many-body problem of electrons and fixed nuclei interacting via Coulomb forces, but with a relativistic form for the kinetic energy, namelyp2/2m is replaced by…

### THE STABILITY OF MANY-PARTICLE SYSTEMS

- Physics
- 1966

It is shown that a quantal or classical system of N particles of distinct species α,β = 1, 2, … μ interacting through pair potentials φαβ(r) are stable, in the sense that the total energy is always…

### Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter

- Mathematics
- 1975

We first prove that Σ |e (V)|, the sum of the negative energies of a single particle in a potential V, is bounded above by (4/15 π )∫|V|5/2. This in turn, implies a lower bound for the kinetic energy…

### Functional integration and quantum physics

- Physics
- 1979

Introduction The basic processes Bound state problems Inequalities Magnetic fields and stochastic integrals Asymptotics Other topics References Index Bibliographic supplement Bibliography.

### Ground‐State Energy of a Finite System of Charged Particles

- Physics
- 1967

A trial wavefunction of superconducting type is postulated for the ground state of a system of N positive and N negative charges with Coulomb interactions in the absence of any exclusion principle.…

### The constitution of matter: Existence of thermodynamics for systems composed of electrons and nuclei

- Physics
- 1972

We establish the existence of the infinite volume (thermodynamic) limit for the free energy density of a system of charged particles, e.g., electrons and nuclei. These particles, which are the…