This book consists of three expository articles written by outstanding researchers in Mathematical Physics: Rafael Benguria, Peter Hislop, and Elliott Lieb. The articles are based on their lectures at the Fourth Summer School in Analysis and Mathematical Physics, held at the Institute of Mathematics, Universidad Nacional Autónoma de Mexico, Cuernavaca in May 2005. The main goal of the articles is to link the basic knowledge of a graduate student in Mathematics with three current research topics in Mathematical Physics: Isoperimetric inequalities for eigenvalues of the Laplace Operator, Random Schrödinger Operators, and Stability of Matter, respectively. These well written articles will guide and introduce the reader to current research topics and will also provide information on recent progress in some areas of Mathematical Physics. This book is published in cooperation with Sociedad Matemática Mexicana. Readership Graduate students and research mathematicians interested in mathematical physics. Reviews "The authors make every effort to relate these topics to the development of spectral theory and provide excellent examples. The final result is a professional reference as well as a solid supplemental text for courses in quantum mechanics or spectral theory." *-- SciTech Book News* |