This collection of papers - starting with a brilliant review article by one of the masters of the field - gives an excellent view of our present knowledge of matter. Partially basing his work on a variational formulation of quantum mechanics E.H. Lieb links the difficult question of stability of matter with deep problems of functional analysis. In this collection the reader will find general results together with deep insights into quantum systems combined in papers on the structure of atoms and molecules, on the thermodynamics limit, and on stellar structure. The book is suitable as an accompanying text for a graduate course in quantum mechanics.
Over the course of his career, Prof. Lieb has made numerous fundamental advances in theoretical physics, largely on the topic of the stability of matter. This is a curated collection of some of his most important works and is an excellent resource for mathematicians and theorists working on density functional theory, models for phase transitions, quantum matter, and so forth.