• Corpus ID: 117601597

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}
}
  • J. P. Solovej
  • Published 1 November 2011
  • Physics
  • arXiv: Mathematical Physics
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. 
View PDF on arXiv

References

SHOWING 1-10 OF 19 REFERENCES

Stability of Matter

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…

Gravitational collapse in quantum mechanics with relativistic kinetic energy

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

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

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

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

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

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

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

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

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…